- execute_onLINEARThe list of flag(s) indicating when this object should be executed, the available options include FORWARD, ADJOINT, HOMOGENEOUS_FORWARD, ADJOINT_TIMESTEP_BEGIN, ADJOINT_TIMESTEP_END, NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, ALWAYS.
Default:LINEAR
C++ Type:ExecFlagEnum
Controllable:No
Description:The list of flag(s) indicating when this object should be executed, the available options include FORWARD, ADJOINT, HOMOGENEOUS_FORWARD, ADJOINT_TIMESTEP_BEGIN, ADJOINT_TIMESTEP_END, NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, ALWAYS.
- expressionUser defined function.
C++ Type:std::string
Controllable:No
Description:User defined function.
- grad_x0Partial derivative with respect to x.
Default:0
C++ Type:std::string
Controllable:No
Description:Partial derivative with respect to x.
- grad_y0Partial derivative with respect to y.
Default:0
C++ Type:std::string
Controllable:No
Description:Partial derivative with respect to y.
- grad_z0Partial derivative with respect to z.
Default:0
C++ Type:std::string
Controllable:No
Description:Partial derivative with respect to z.
- symbol_namesSymbols (excluding t,x,y,z) that are bound to the values provided by the corresponding items in the vals vector.
C++ Type:std::vector<std::string>
Controllable:No
Description:Symbols (excluding t,x,y,z) that are bound to the values provided by the corresponding items in the vals vector.
- symbol_valuesConstant numeric values, postprocessor names, function names, and scalar variables corresponding to the symbols in symbol_names.
C++ Type:std::vector<std::string>
Controllable:No
Description:Constant numeric values, postprocessor names, function names, and scalar variables corresponding to the symbols in symbol_names.
ParsedGradFunction
Defines a function and its gradient using input file parameters.
The ParsedGradFunction is similar to the ParsedFunction, differing only in that it also defines the gradient of the function. Inputs for defining each component of the gradient follow the same rules as outlined in ParsedFunction.
Example input syntax
In this input, the ParsedGradFunction is used for using the Method of Manufactured Solutions. This method verifies the convergence of the finite element method to known analytical solutions of a simple problem. u_func is used in the PostProcessors block to compute the H1 error, or the error on both the solution and its gradient, between u and this known solution.
[Functions]
active = 'forcing_func u_func'
[./forcing_func]
type = ParsedFunction
expression = alpha*alpha*pi*pi*sin(alpha*pi*x)
symbol_names = 'alpha'
symbol_values = '4'
[../]
[./u_func]
type = ParsedGradFunction
value = sin(alpha*pi*x)
grad_x = alpha*pi*sin(alpha*pi*x)
symbol_names = 'alpha'
symbol_values = '4'
[../]
[]
Input Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:No
Description:Set the enabled status of the MooseObject.
Advanced Parameters
Input Files
- (test/tests/outputs/debug/show_execution_userobjects.i)
- (test/tests/outputs/debug/show_execution_kernels_bcs.i)
- (test/tests/bcs/ad_penalty_dirichlet_bc/penalty_dirichlet_bc_test.i)
- (test/tests/functions/linear_combination_function/lcf_grad.i)
- (test/tests/controls/time_periods/dgkernels/dgkernels.i)
- (test/tests/vectorpostprocessors/dynamic_point_sampler/dynamic_point_sampler.i)
- (test/tests/dgkernels/ad_dg_diffusion/2d_diffusion_ad_dg_test.i)
- (test/tests/postprocessors/mms_slope/mms_slope_test.i)
- (test/tests/indicators/laplacian_jump_indicator/biharmonic_transient.i)
- (test/tests/variables/fe_hier/hier-3-1d.i)
- (test/tests/variables/fe_hier/hier-1-1d.i)
- (test/tests/dgkernels/2d_diffusion_dg/dg_stateful.i)
- (test/tests/indicators/laplacian_jump_indicator/biharmonic.i)
- (test/tests/tag/2d_diffusion_dg_tag.i)
- (test/tests/variables/fe_hier/hier-2-2d.i)
- (test/tests/variables/fe_hier/hier-3-3d.i)
- (test/tests/variables/fe_hier/hier-3-2d.i)
- (test/tests/dgkernels/2d_diffusion_dg/no_mallocs_with_action.i)
- (test/tests/dgkernels/2d_diffusion_dg/no_functor_additions.i)
- (test/tests/variables/fe_hier/hier-2-1d.i)
- (test/tests/materials/material/material_test_dg.i)
- (test/tests/nodalkernels/penalty_dirichlet/nodal_penalty_dirichlet.i)
- (test/tests/time_integrators/implicit-euler/ie-monomials.i)
- (test/tests/dgkernels/3d_diffusion_dg/3d_diffusion_dg_test.i)
- (test/tests/ics/function_ic/parsed_function.i)
- (test/tests/outputs/debug/show_var_residual_norms_debug.i)
- (test/tests/preconditioners/pbp/pbp_dg_test.i)
- (test/tests/variables/fe_hier/hier-1-3d.i)
- (test/tests/bcs/penalty_dirichlet_bc/function_penalty_dirichlet_bc_test.i)
- (test/tests/variables/fe_hermite_convergence/hermite_converge_dirichlet.i)
- (test/tests/bcs/ad_penalty_dirichlet_bc/function_penalty_dirichlet_bc_test.i)
- (test/tests/variables/fe_hier/hier-1-2d.i)
- (test/tests/dgkernels/2d_diffusion_dg/2d_diffusion_dg_test.i)
- (test/tests/misc/check_error/coupled_grad_without_declare.i)
- (test/tests/bcs/penalty_dirichlet_bc/penalty_dirichlet_bc_test.i)
- (test/tests/postprocessors/element_h1_error_pps/element_h1_error_pp_test.i)
- (test/tests/variables/fe_hermite/hermite-3-1d.i)
- (test/tests/postprocessors/num_vars/num_vars.i)
- (test/tests/variables/fe_hermite/hermite-3-2d.i)
- (test/tests/variables/fe_hermite/hermite-3-3d.i)
- (test/tests/variables/fe_hermite_convergence/hermite_converge_periodic.i)
- (test/tests/dgkernels/stateful-coupled-var/test.i)
- (test/tests/dgkernels/dg_displacement/dg_displacement.i)
- (test/tests/outputs/debug/show_var_residual_norms.i)
- (test/tests/variables/fe_hier/hier-2-3d.i)
(test/tests/postprocessors/mms_slope/mms_slope_test.i)
[Mesh]
[./square]
type = GeneratedMeshGenerator
nx = 2
ny = 2
dim = 2
[../]
# do not use uniform refine, we are using adaptive refining
# uniform_refine = 6
[]
[Variables]
active = 'u'
[./u]
order = FIRST
family = LAGRANGE
[../]
[]
[Functions]
active = 'forcing_func u_func'
[./forcing_func]
type = ParsedFunction
expression = alpha*alpha*pi*pi*sin(alpha*pi*x)
symbol_names = 'alpha'
symbol_values = '4'
[../]
[./u_func]
type = ParsedGradFunction
value = sin(alpha*pi*x)
grad_x = alpha*pi*sin(alpha*pi*x)
symbol_names = 'alpha'
symbol_values = '4'
[../]
[]
[Kernels]
active = 'diff forcing'
[./diff]
type = Diffusion
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_func
[../]
[]
[BCs]
active = 'left right'
[./left]
type = DirichletBC
variable = u
boundary = '3'
value = 0
[../]
[./right]
type = DirichletBC
variable = u
boundary = '1'
value = 0
[../]
[]
[Executioner]
type = Steady
solve_type = NEWTON
nl_abs_tol = 1e-14
[./Adaptivity]
# if the refine fraction is 1 it will refine every element
# remember < 1 means only refine that percentage of elements
refine_fraction = 1
steps = 6
# do not coarsen at all
coarsen_fraction = 0
# maximum level of refinement steps, make sure this is > max_r_steps
max_h_level = 10
# leave this as is
error_estimator = KellyErrorEstimator
[../]
[]
# print l2 and h1 errors from the Postprocessors too so I can compare
[Postprocessors]
active = 'l2_error h1_error dofs'
# active = ' '
[./l2_error]
type = ElementL2Error
variable = u
function = u_func
[../]
[./h1_error]
type = ElementH1Error
variable = u
function = u_func
[../]
[./dofs]
type = NumDOFs
[../]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = out
exodus = true
[]
(test/tests/outputs/debug/show_execution_userobjects.i)
[Mesh]
[cmg]
type = CartesianMeshGenerator
dim = 2
dx = '1.5 2.4'
dy = '1.3 0.9'
ix = '3 2'
iy = '2 3'
subdomain_id = '0 1
1 0'
[]
[add_interface]
type = SideSetsBetweenSubdomainsGenerator
input = 'cmg'
primary_block = 0
paired_block = 1
new_boundary = 'interface'
[]
second_order = true
[]
[Functions]
[forcing_fnu]
type = ParsedFunction
value = -5.8*(x+y)+x*x*x-x+y*y*y-y
[]
[forcing_fnv]
type = ParsedFunction
value = -4
[]
[slnu]
type = ParsedGradFunction
value = x*x*x-x+y*y*y-y
grad_x = 3*x*x-1
grad_y = 3*y*y-1
[]
[slnv]
type = ParsedGradFunction
value = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[]
# NeumannBC functions
[bc_fnut]
type = ParsedFunction
value = 3*y*y-1
[]
[bc_fnub]
type = ParsedFunction
value = -3*y*y+1
[]
[bc_fnul]
type = ParsedFunction
value = -3*x*x+1
[]
[bc_fnur]
type = ParsedFunction
value = 3*x*x-1
[]
[]
[Variables]
[u]
order = SECOND
family = HIERARCHIC
[]
[v]
order = SECOND
family = LAGRANGE
initial_condition = 1
[]
[]
[AuxVariables]
[v_elem]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
active = 'diff1 diff2 test1 forceu forcev react'
[diff1]
type = Diffusion
variable = u
[]
[test1]
type = CoupledConvection
variable = u
velocity_vector = v
[]
[diff2]
type = Diffusion
variable = v
[]
[react]
type = Reaction
variable = u
[]
[forceu]
type = BodyForce
variable = u
function = forcing_fnu
[]
[forcev]
type = BodyForce
variable = v
function = forcing_fnv
[]
[]
[AuxKernels]
[set_v_elem]
type = FunctionAux
variable = v_elem
# selected not to be the solution for no particular reason
function = forcing_fnv
[]
[]
[BCs]
[bc_v]
type = FunctionDirichletBC
variable = v
function = slnv
boundary = 'left right top bottom'
[]
[bc_u_tb]
type = CoupledKernelGradBC
variable = u
var2 = v
vel = '0.1 0.1'
boundary = 'top bottom left right'
[]
[bc_ul]
type = FunctionNeumannBC
variable = u
function = bc_fnul
boundary = 'left'
[]
[bc_ur]
type = FunctionNeumannBC
variable = u
function = bc_fnur
boundary = 'right'
[]
[bc_ut]
type = FunctionNeumannBC
variable = u
function = bc_fnut
boundary = 'top'
[]
[bc_ub]
type = FunctionNeumannBC
variable = u
function = bc_fnub
boundary = 'bottom'
[]
[]
[Postprocessors]
# Global user objects
[dofs]
type = NumDOFs
[]
[h]
type = AverageElementSize
[]
# Elemental user objects
[L2u]
type = ElementL2Error
variable = u
function = slnu
# Testing an option
force_preic = true
[]
[L2v]
type = ElementL2Error
variable = v
function = slnv
# Testing an option
force_preaux = true
[]
[H1error]
type = ElementH1Error
variable = u
function = slnu
[]
[H1Semierror]
type = ElementH1SemiError
variable = u
function = slnu
[]
[L2v_elem]
type = ElementL2Error
variable = v_elem
function = slnv
[]
[f_integral]
type = FunctionElementIntegral
function = slnv
[]
[int_v]
type = ElementIntegralVariablePostprocessor
variable = v
block = 1
execute_on = 'TIMESTEP_END transfer'
[]
[int_v_elem]
type = ElementIntegralVariablePostprocessor
variable = v_elem
block = 1
execute_on = 'TIMESTEP_END transfer'
[]
# Side user objects
[integral_v]
type = SideIntegralVariablePostprocessor
variable = v
boundary = 0
[]
[]
[VectorPostprocessors]
# General UOs
[memory]
type = VectorMemoryUsage
[]
[line]
type = LineValueSampler
variable = v
num_points = 10
start_point = '0 0 0'
end_point = '0.5 0.5 0'
sort_by = 'x'
[]
# Nodal UOs
[nodal_sampler_y]
type = NodalValueSampler
variable = v
sort_by = 'y'
[]
[nodal_sampler_x]
type = NodalValueSampler
variable = v
sort_by = 'x'
[]
# Element UO
[elem_sample]
type = ElementValueSampler
variable = v_elem
sort_by = 'x'
[]
[]
[UserObjects]
# Nodal user objects
[find_node]
type = NearestNodeNumberUO
point = '0.5 0.5 0'
[]
# Side user objects
[side_int]
type = LayeredSideIntegral
variable = v
boundary = 0
direction = y
num_layers = 4
[]
[side_int_2]
type = NearestPointLayeredSideIntegral
variable = v
boundary = 0
direction = x
num_layers = 3
points = '1 1 0'
[]
# Interface user objects
[values]
type = InterfaceQpValueUserObject
var = v
boundary = interface
[]
inactive = 'prime_1 prime_2'
# Threaded general user objects
[prime_2]
type = PrimeProductUserObject
[]
[prime_1]
type = PrimeProductUserObject
[]
# Domain user objects
[domain_2]
type = InterfaceDomainUserObject
u = u
v = v
block = '0'
robin_boundaries = 'left'
interface_boundaries = 'interface'
interface_penalty = 1e-10
nl_abs_tol = 1e1
[]
[domain_1]
type = InterfaceDomainUserObject
u = u
v = v
block = '0 1'
robin_boundaries = 'left'
interface_boundaries = 'interface'
interface_penalty = 1e-10
nl_abs_tol = 1e1
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-10
l_tol = 1e-5
[]
[Problem]
kernel_coverage_check = false
[]
[MultiApps]
active = ''
[full_solve]
type = FullSolveMultiApp
execute_on = 'initial timestep_end final'
input_files = show_execution_userobjects.i
cli_args = 'Problem/solve=false'
[]
[]
[Transfers]
active = ''
[conservative]
type = MultiAppNearestNodeTransfer
from_multi_app = full_solve
source_variable = v
variable = v_elem
from_postprocessors_to_be_preserved = int_v
to_postprocessors_to_be_preserved = int_v_elem
[]
[]
[Debug]
show_execution_order = 'ALWAYS INITIAL NONLINEAR LINEAR TIMESTEP_BEGIN TIMESTEP_END FINAL'
[]
(test/tests/outputs/debug/show_execution_kernels_bcs.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[left]
type = ParsedSubdomainMeshGenerator
input = 'gmg'
combinatorial_geometry = 'x < 0.5'
block_id = '2'
[]
[middle_boundary]
type = SideSetsBetweenSubdomainsGenerator
input = 'left'
primary_block = '0'
paired_block = '2'
new_boundary = 'middle'
[]
[]
[Functions]
[forcing_fnu]
type = ParsedFunction
value = -5.8*(x+y)+x*x*x-x+y*y*y-y
[]
[forcing_fnv]
type = ParsedFunction
value = -4
[]
[slnu]
type = ParsedGradFunction
value = x*x*x-x+y*y*y-y
grad_x = 3*x*x-1
grad_y = 3*y*y-1
[]
[slnv]
type = ParsedGradFunction
value = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[]
# NeumannBC functions
[bc_fnut]
type = ParsedFunction
value = 3*y*y-1
[]
[bc_fnub]
type = ParsedFunction
value = -3*y*y+1
[]
[bc_fnul]
type = ParsedFunction
value = -3*x*x+1
[]
[bc_fnur]
type = ParsedFunction
value = 3*x*x-1
[]
[]
[Variables]
[u]
order = THIRD
family = HIERARCHIC
[]
[v]
order = SECOND
family = LAGRANGE
[]
[]
[Kernels]
[diff1]
type = Diffusion
variable = u
[]
[test1]
type = CoupledConvection
variable = u
velocity_vector = v
[]
[diff2]
type = Diffusion
variable = v
[]
[react]
type = Reaction
variable = u
[]
[forceu]
type = BodyForce
variable = u
function = forcing_fnu
[]
[forcev]
type = BodyForce
variable = v
function = forcing_fnv
[]
[]
[BCs]
[bc_v]
type = FunctionDirichletBC
variable = v
function = slnv
boundary = 'left right top bottom'
[]
[bc_u_tb]
type = CoupledKernelGradBC
variable = u
var2 = v
vel = '0.1 0.1'
boundary = 'top bottom left right'
[]
[bc_ul]
type = FunctionNeumannBC
variable = u
function = bc_fnul
boundary = 'left'
[]
[bc_ur]
type = FunctionNeumannBC
variable = u
function = bc_fnur
boundary = 'right'
[]
[bc_ut]
type = FunctionNeumannBC
variable = u
function = bc_fnut
boundary = 'top'
[]
[bc_ub]
type = FunctionNeumannBC
variable = u
function = bc_fnub
boundary = 'bottom'
[]
[]
[Dampers]
active = ''
[limit_v]
type = BoundingValueElementDamper
variable = v
max_value = 1.5
min_value = -20
[]
[limit_u]
type = BoundingValueElementDamper
variable = u
max_value = 1.5
min_value = -20
[]
[]
[InterfaceKernels]
[diff_ik_2]
type = InterfaceDiffusion
variable = 'u'
neighbor_var = 'v'
boundary = 'middle'
[]
[diff_ik_1]
type = InterfaceDiffusion
variable = 'v'
neighbor_var = 'u'
boundary = 'middle'
[]
[]
[DGKernels]
[diff_dg_2]
type = DGDiffusion
variable = 'u'
epsilon = -1
sigma = 6
[]
[diff_dg_1]
type = DGDiffusion
variable = 'u'
epsilon = -1
sigma = 6
[]
[]
[DiracKernels]
[source_2]
type = FunctionDiracSource
variable = 'u'
point = '0.1 0.1 0'
function = 'x + y'
[]
[source_1]
type = FunctionDiracSource
variable = 'u'
point = '0.1 0.1 0'
function = 'x + y'
block = '2'
[]
[source_0]
type = FunctionDiracSource
variable = 'u'
# in block 0, but since it's not block restricted it shows up as active in
# block 2 as well
point = '0.6 0.5 0'
function = 'x + y'
[]
[]
[Materials]
[diff]
type = GenericConstantMaterial
prop_names = 'D D_neighbor'
prop_values = '0 0'
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-15
nl_abs_tol = 1e-13
[]
[Debug]
show_execution_order = 'NONE ALWAYS INITIAL NONLINEAR LINEAR TIMESTEP_BEGIN TIMESTEP_END FINAL'
[]
(test/tests/bcs/ad_penalty_dirichlet_bc/penalty_dirichlet_bc_test.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = -2*(x*x+y*y-2)+(1-x*x)*(1-y*y)
[../]
[./solution]
type = ParsedGradFunction
value = (1-x*x)*(1-y*y)
grad_x = 2*(x*y*y-x)
grad_y = 2*(x*x*y-y)
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = ADDiffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = ADBodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
active = 'bc_all'
[./bc_all]
type = ADPenaltyDirichletBC
variable = u
value = 0
boundary = 'top left right bottom'
penalty = 1e5
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
nl_rel_tol = 1e-14
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/functions/linear_combination_function/lcf_grad.i)
# LinearCombinationFunction function test
# See [Functions] block for a description of the tests
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 1
nx = 3
ny = 3
[]
[Variables]
[./dummy]
[../]
[]
[Kernels]
[./dummy_u]
type = TimeDerivative
variable = dummy
[../]
[]
[AuxVariables]
[./the_linear_combo_x]
order = CONSTANT
family = MONOMIAL
[../]
[./the_linear_combo_y]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./the_linear_combo_x]
type = FunctionDerivativeAux
component = x
variable = the_linear_combo_x
function = the_linear_combo
[../]
[./the_linear_combo_y]
type = FunctionDerivativeAux
component = y
variable = the_linear_combo_y
function = the_linear_combo
[../]
[]
[Functions]
[./xtimes]
type = ParsedGradFunction
value = '1.1*x+y'
grad_x = '1.1'
grad_y = '1'
[../]
[./twoxplus1]
type = ParsedGradFunction
value = '2*x+1'
grad_x = '2'
[../]
[./tover2]
type = ParsedGradFunction
value = '0.5*t-y*7'
grad_y = '-7'
[../]
[./the_linear_combo]
type = LinearCombinationFunction
functions = 'xtimes twoxplus1 tover2'
w = '3 -1.2 3'
[../]
[./should_be_answer_x]
type = ParsedFunction
expression = '3*1.1-1.2*2'
[../]
[./should_be_answer_y]
type = ParsedFunction
expression = '3*1+3*(-7)'
[../]
[]
[Postprocessors]
[./should_be_zero_x]
type = ElementL2Error
function = should_be_answer_x
variable = the_linear_combo_x
[../]
[./should_be_zero_y]
type = ElementL2Error
function = should_be_answer_y
variable = the_linear_combo_y
[../]
[]
[Executioner]
type = Transient
dt = 0.5
end_time = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = lcf_grad
hide = dummy
exodus = false
csv = true
[]
(test/tests/controls/time_periods/dgkernels/dgkernels.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
[]
[Adaptivity]
marker = uniform_marker
[./Markers]
[./uniform_marker]
type = UniformMarker
mark = REFINE
[../]
[../]
[]
[Variables]
[./u]
order = FIRST
family = MONOMIAL
initial_condition = 1
[../]
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[../]
[./exact_fn]
type = ParsedGradFunction
value = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[./abs] # u * v
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[DGKernels]
[./dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
[../]
[./dg_diff2]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 4
[../]
[]
[BCs]
[./all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
# petsc_options_iname = '-pc_type -pc_hypre_type'
# petsc_options_value = 'hypre boomeramg'
num_steps = 4
dt = 1
nl_rel_tol = 1e-10
[]
[Outputs]
exodus = true
[]
[Controls]
[./dg_problem]
type = TimePeriod
enable_objects = 'DGKernels/dg_diff2'
disable_objects = 'DGKernel::dg_diff'
start_time = '2'
execute_on = 'initial timestep_begin'
[../]
[]
(test/tests/vectorpostprocessors/dynamic_point_sampler/dynamic_point_sampler.i)
[Mesh]
type = GeneratedMesh
nx = 5
ny = 5
dim = 2
[]
[Variables]
[u]
[]
[]
[Functions]
[forcing_func]
type = ParsedFunction
expression = alpha*alpha*pi*pi*sin(alpha*pi*x)
symbol_names = 'alpha'
symbol_values = '4'
[]
[u_func]
type = ParsedGradFunction
value = sin(alpha*pi*x)
grad_x = alpha*pi*sin(alpha*pi*x)
symbol_names = 'alpha'
symbol_values = '4'
[]
[]
[Kernels]
[diff]
type = CoefDiffusion
variable = u
coef = 0.1
[]
[forcing]
type = BodyForce
variable = u
function = forcing_func
[]
[time]
type = TimeDerivative
variable = u
[]
[]
[BCs]
[left]
type = DirichletBC
variable = 'u'
boundary = 'left'
value = 0
[]
[right]
type = DirichletBC
variable = 'u'
boundary = 'right'
value = 0
[]
[]
[Executioner]
type = Transient
num_steps = 7
dt = 0.1
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Postprocessors]
[l2_error]
type = ElementL2Error
variable = u
function = u_func
[]
[dofs]
type = NumDOFs
[]
[]
[Adaptivity]
max_h_level = 3
marker = error
[Indicators]
[jump]
type = GradientJumpIndicator
variable = u
[]
[]
[Markers]
[error]
type = ErrorFractionMarker
indicator = jump
coarsen = 0.1
refine = 0.3
[]
[]
[]
[VectorPostprocessors]
[dynamic_line_sampler]
type = DynamicPointValueSampler
variable = u
start_point = '0 0.5 0'
end_point = '1 0.5 0'
num_points = 6
sort_by = x
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
csv = true
[]
(test/tests/dgkernels/ad_dg_diffusion/2d_diffusion_ad_dg_test.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
elem_type = QUAD4
[]
[Variables]
[./u]
order = FIRST
family = MONOMIAL
[./InitialCondition]
type = ConstantIC
value = 1
[../]
[../]
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[../]
[./exact_fn]
type = ParsedGradFunction
value = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[./abs] # u * v
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[DGKernels]
[./dg_diff]
type = ADDGDiffusion
variable = u
epsilon = -1
sigma = 6
diff = diff
[../]
[]
[Materials]
[./ad_coupled_mat]
type = ADCoupledMaterial
coupled_var = u
ad_mat_prop = diff
regular_mat_prop = diff_regular
[../]
[]
[BCs]
[./all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[./Adaptivity]
steps = 2
refine_fraction = 1.0
coarsen_fraction = 0
max_h_level = 8
[../]
nl_rel_tol = 1e-10
[]
[Postprocessors]
[./h]
type = AverageElementSize
[../]
[./dofs]
type = NumDOFs
[../]
[./l2_err]
type = ElementL2Error
variable = u
function = exact_fn
[../]
[]
[Outputs]
exodus = true
[]
(test/tests/postprocessors/mms_slope/mms_slope_test.i)
[Mesh]
[./square]
type = GeneratedMeshGenerator
nx = 2
ny = 2
dim = 2
[../]
# do not use uniform refine, we are using adaptive refining
# uniform_refine = 6
[]
[Variables]
active = 'u'
[./u]
order = FIRST
family = LAGRANGE
[../]
[]
[Functions]
active = 'forcing_func u_func'
[./forcing_func]
type = ParsedFunction
expression = alpha*alpha*pi*pi*sin(alpha*pi*x)
symbol_names = 'alpha'
symbol_values = '4'
[../]
[./u_func]
type = ParsedGradFunction
value = sin(alpha*pi*x)
grad_x = alpha*pi*sin(alpha*pi*x)
symbol_names = 'alpha'
symbol_values = '4'
[../]
[]
[Kernels]
active = 'diff forcing'
[./diff]
type = Diffusion
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_func
[../]
[]
[BCs]
active = 'left right'
[./left]
type = DirichletBC
variable = u
boundary = '3'
value = 0
[../]
[./right]
type = DirichletBC
variable = u
boundary = '1'
value = 0
[../]
[]
[Executioner]
type = Steady
solve_type = NEWTON
nl_abs_tol = 1e-14
[./Adaptivity]
# if the refine fraction is 1 it will refine every element
# remember < 1 means only refine that percentage of elements
refine_fraction = 1
steps = 6
# do not coarsen at all
coarsen_fraction = 0
# maximum level of refinement steps, make sure this is > max_r_steps
max_h_level = 10
# leave this as is
error_estimator = KellyErrorEstimator
[../]
[]
# print l2 and h1 errors from the Postprocessors too so I can compare
[Postprocessors]
active = 'l2_error h1_error dofs'
# active = ' '
[./l2_error]
type = ElementL2Error
variable = u
function = u_func
[../]
[./h1_error]
type = ElementH1Error
variable = u
function = u_func
[../]
[./dofs]
type = NumDOFs
[../]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = out
exodus = true
[]
(test/tests/indicators/laplacian_jump_indicator/biharmonic_transient.i)
[GlobalParams]
# Parameters used by Functions.
vars = 'c'
vals = '50'
[]
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -.5
xmax = .5
ymin = -.5
ymax = .5
nx = 10
ny = 10
[]
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
[./biharmonic]
type = Biharmonic
variable = u
[../]
[./body_force]
type = BodyForce
variable = u
function = forcing_func
[../]
[]
[BCs]
[./all_value]
type = FunctionPenaltyDirichletBC
variable = u
boundary = 'left right top bottom'
function = u_func
penalty = 1e10
[../]
[./all_flux]
type = FunctionPenaltyFluxBC
variable = u
boundary = 'left right top bottom'
function = u_func
penalty = 1e10
[../]
[]
[Adaptivity]
[./Indicators]
[./error]
type = LaplacianJumpIndicator
variable = u
scale_by_flux_faces = true
[../]
[../]
[]
[Executioner]
type = Transient
num_steps = 4
dt = 0.1
# Note: the unusually tight tolerances here are due to the penalty
# BCs (currently the only way of accurately Dirichlet boundary
# conditions on Hermite elements in MOOSE).
nl_rel_tol = 1.e-15
l_tol = 1.e-15
# We have exact Jacobians
solve_type = 'NEWTON'
# Use 6x6 quadrature to ensure the forcing function is integrated
# accurately.
[./Quadrature]
type = GAUSS
order = ELEVENTH
[../]
[]
[Functions]
[./u_func]
type = ParsedGradFunction
value = 'exp(-c*(x^2+y^2))*exp(-t)'
grad_x = '-2*c*exp(-c*(x^2+y^2))*x*exp(-t)'
grad_y = '-2*c*exp(-c*(x^2+y^2))*y*exp(-t)'
[../]
[./forcing_func]
type = ParsedFunction
expression = '16*c^2*(c^2*(x^2+y^2)^2 - 4*c*(x^2+y^2) + 2)*exp(-c*(x^2+y^2))*exp(-t)'
[../]
[]
[ICs]
[./u_ic]
type = FunctionIC
function = u_func
variable = u
[../]
[]
[Postprocessors]
[./l2_error]
type = ElementL2Error
variable = u
function = u_func
[../]
[./h1_error]
type = ElementH1Error
variable = u
function = u_func
[../]
[]
[Outputs]
exodus = true
[]
(test/tests/variables/fe_hier/hier-3-1d.i)
[Mesh]
type = GeneratedMesh
dim = 1
xmin = -1
xmax = 1
nx = 5
elem_type = EDGE3
[]
[Functions]
[./bc_fnl]
type = ParsedFunction
expression = -3*x*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 3*x*x
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6*x+(x*x*x)
[../]
[./solution]
type = ParsedGradFunction
expression = x*x*x
grad_x = 3*x*x
[../]
[]
[Variables]
[./u]
order = THIRD
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/variables/fe_hier/hier-1-1d.i)
###########################################################
# This is a simple test demonstrating the use of the
# Hierarchic variable type.
#
# @Requirement F3.10
###########################################################
[Mesh]
type = GeneratedMesh
dim = 1
xmin = -1
xmax = 1
nx = 5
elem_type = EDGE3
[]
[Functions]
[./bc_fnl]
type = ParsedFunction
expression = -1
[../]
[./bc_fnr]
type = ParsedFunction
expression = 1
[../]
[./forcing_fn]
type = ParsedFunction
expression = x
[../]
[./solution]
type = ParsedGradFunction
expression = x
grad_x = 1
[../]
[]
# Hierarchic Variable type
[Variables]
[./u]
order = FIRST
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
nl_rel_tol = 1e-11
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/dgkernels/2d_diffusion_dg/dg_stateful.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
elem_type = QUAD4
[]
[Variables]
[./u]
order = FIRST
family = MONOMIAL
[./InitialCondition]
type = ConstantIC
value = 1
[../]
[../]
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[../]
[./exact_fn]
type = ParsedGradFunction
expression = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[./abs]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[DGKernels]
[./dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
[../]
[]
[BCs]
[./all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[../]
[]
[Materials]
[./stateful]
type = StatefulMaterial
initial_diffusivity = 1
boundary = 'left'
[../]
[./general]
type = GenericConstantMaterial
block = '0'
prop_names = 'dummy'
prop_values = '1'
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-10
[]
(test/tests/indicators/laplacian_jump_indicator/biharmonic.i)
[GlobalParams]
# Parameters used by Functions.
vars = 'c'
vals = '50'
[]
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -.5
xmax = .5
ymin = -.5
ymax = .5
nx = 10
ny = 10
[]
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
[./biharmonic]
type = Biharmonic
variable = u
[../]
[./body_force]
type = BodyForce
variable = u
function = forcing_func
[../]
[]
[BCs]
active = 'all_value all_flux'
[./all_value]
type = FunctionPenaltyDirichletBC
variable = u
boundary = 'left right top bottom'
function = u_func
penalty = 1e10
[../]
[./all_flux]
type = FunctionPenaltyFluxBC
variable = u
boundary = 'left right top bottom'
function = u_func
penalty = 1e10
[../]
[./all_laplacian]
type = BiharmonicLapBC
variable = u
boundary = 'left right top bottom'
laplacian_function = lapu_func
[../]
[]
[Adaptivity]
[Indicators]
[error]
type = LaplacianJumpIndicator
variable = u
scale_by_flux_faces = true
[]
[]
[]
[Executioner]
type = Steady
# Note: the unusually tight tolerances here are due to the penalty
# BCs (currently the only way of accurately Dirichlet boundary
# conditions on Hermite elements in MOOSE).
nl_rel_tol = 1.e-15
l_tol = 1.e-15
# We have exact Jacobians
solve_type = 'NEWTON'
# Use 6x6 quadrature to ensure the forcing function is integrated
# accurately.
[./Quadrature]
type = GAUSS
order = ELEVENTH
[../]
[]
[Functions]
[./u_func]
type = ParsedGradFunction
value = 'exp(-c*(x^2+y^2))'
grad_x = '-2*c*exp(-c*(x^2+y^2))*x'
grad_y = '-2*c*exp(-c*(x^2+y^2))*y'
[../]
[./lapu_func]
type = ParsedFunction
expression = '4*c*(c*(x^2+y^2) - 1)*exp(-c*(x^2+y^2))'
[../]
[./forcing_func]
type = ParsedFunction
expression = '16*c^2*(c^2*(x^2+y^2)^2 - 4*c*(x^2+y^2) + 2)*exp(-c*(x^2+y^2))'
[../]
[]
[Postprocessors]
[./l2_error]
type = ElementL2Error
variable = u
function = u_func
[../]
[./h1_error]
type = ElementH1Error
variable = u
function = u_func
[../]
[]
[Outputs]
exodus = true
[]
(test/tests/tag/2d_diffusion_dg_tag.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 4
ny = 4
xmin = 0
xmax = 1
ymin = 0
ymax = 1
elem_type = QUAD4
[]
[Variables]
[./u]
order = FIRST
family = MONOMIAL
[./InitialCondition]
type = ConstantIC
value = 1
[../]
[../]
[]
[AuxVariables]
[./tag_variable1]
order = FIRST
family = MONOMIAL
[../]
[./tag_variable2]
order = FIRST
family = MONOMIAL
[../]
[]
[AuxKernels]
[./TagVectorAux1]
type = TagVectorAux
variable = tag_variable1
v = u
vector_tag = vec_tag2
execute_on = timestep_end
[../]
[./TagVectorAux2]
type = TagMatrixAux
variable = tag_variable2
v = u
matrix_tag = mat_tag2
execute_on = timestep_end
[../]
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[../]
[./exact_fn]
type = ParsedGradFunction
value = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
extra_matrix_tags = 'mat_tag1 mat_tag2'
extra_vector_tags = 'vec_tag1 vec_tag2'
[../]
[./abs]
type = Reaction
variable = u
extra_matrix_tags = 'mat_tag1 mat_tag2'
extra_vector_tags = 'vec_tag1 vec_tag2'
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
extra_matrix_tags = 'mat_tag1 mat_tag2'
extra_vector_tags = 'vec_tag1'
[../]
[]
[DGKernels]
[./dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
extra_matrix_tags = 'mat_tag1 mat_tag2'
extra_vector_tags = 'vec_tag1 vec_tag2'
[../]
[]
[BCs]
[./all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
extra_matrix_tags = 'mat_tag1 mat_tag2'
extra_vector_tags = 'vec_tag1 vec_tag2'
[../]
[]
[Problem]
type = TagTestProblem
test_tag_vectors = 'nontime residual vec_tag1 vec_tag2'
test_tag_matrices = 'mat_tag1 mat_tag2'
extra_tag_matrices = 'mat_tag1 mat_tag2'
extra_tag_vectors = 'vec_tag1 vec_tag2'
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
nl_rel_tol = 1e-10
[]
[Postprocessors]
[./h]
type = AverageElementSize
[../]
[./dofs]
type = NumDOFs
[../]
[./l2_err]
type = ElementL2Error
variable = u
function = exact_fn
[../]
[]
[Outputs]
exodus = true
[]
(test/tests/variables/fe_hier/hier-2-2d.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 5
ny = 5
elem_type = QUAD9
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 2*y
[../]
[./bc_fnb]
type = ParsedFunction
expression = -2*y
[../]
[./bc_fnl]
type = ParsedFunction
expression = -2*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 2*x
[../]
[./forcing_fn]
type = ParsedFunction
expression = -4+x*x+y*y
[../]
[./solution]
type = ParsedGradFunction
expression = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/variables/fe_hier/hier-3-3d.i)
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
nx = 1
ny = 1
nz = 1
elem_type = HEX27
# This problem only has 1 element, so using DistributedMesh in parallel
# isn't really an option, and we don't care that much about DistributedMesh
# in serial.
parallel_type = replicated
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 3*y*y
[../]
[./bc_fnb]
type = ParsedFunction
expression = -3*y*y
[../]
[./bc_fnl]
type = ParsedFunction
expression = -3*x*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 3*x*x
[../]
[./bc_fnk]
type = ParsedFunction
expression = -3*z*z
[../]
[./bc_fnf]
type = ParsedFunction
expression = 3*z*z
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6*x-6*y-6*z+(x*x*x)+(y*y*y)+(z*z*z)
[../]
[./solution]
type = ParsedGradFunction
expression = (x*x*x)+(y*y*y)+(z*z*z)
grad_x = 3*x*x
grad_y = 3*y*y
grad_z = 3*z*z
[../]
[]
[Variables]
[./u]
order = THIRD
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[./bc_front]
type = FunctionNeumannBC
variable = u
boundary = 'front'
function = bc_fnf
[../]
[./bc_back]
type = FunctionNeumannBC
variable = u
boundary = 'back'
function = bc_fnk
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/variables/fe_hier/hier-3-2d.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 5
ny = 5
elem_type = QUAD9
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 3*y*y
[../]
[./bc_fnb]
type = ParsedFunction
expression = -3*y*y
[../]
[./bc_fnl]
type = ParsedFunction
expression = -3*x*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 3*x*x
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6*x-6*y+(x*x*x)+(y*y*y)
[../]
[./solution]
type = ParsedGradFunction
expression = (x*x*x)+(y*y*y)
grad_x = 3*x*x
grad_y = 3*y*y
[../]
[]
[Variables]
[./u]
order = THIRD
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/dgkernels/2d_diffusion_dg/no_mallocs_with_action.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
elem_type = QUAD4
[]
[Variables]
[./u]
order = FIRST
family = MONOMIAL
[./InitialCondition]
type = ConstantIC
value = 1
[../]
[../]
[]
[AuxVariables]
[v]
order = FIRST
family = MONOMIAL
[]
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[../]
[./exact_fn]
type = ParsedGradFunction
expression = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[./abs] # u * v
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[DGDiffusionAction]
variable = u
epsilon = -1
sigma = 6
# We couple in an auxiliary variable in order to ensure that we've properly
# ghosted both non-linear and auxiliary solution vectors
coupled_var = v
[]
[BCs]
[./all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[../]
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = true
[console]
type = Console
system_info = 'framework mesh aux nonlinear relationship execution'
[]
[]
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Postprocessors]
active = 'num_rm'
[num_rm]
type = NumRelationshipManagers
[]
[num_internal_sides]
type = NumInternalSides
[]
[]
(test/tests/dgkernels/2d_diffusion_dg/no_functor_additions.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
elem_type = QUAD4
[]
[Variables]
[./u]
order = FIRST
family = MONOMIAL
[./InitialCondition]
type = ConstantIC
value = 1
[../]
[../]
[]
[AuxVariables]
[v]
order = FIRST
family = MONOMIAL
[]
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[../]
[./exact_fn]
type = ParsedGradFunction
expression = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[./abs] # u * v
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[DGKernels]
[regular_dg_diffusion]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
[]
[]
[DGDiffusionAction]
variable = u
kernels_to_add = 'COUPLED'
coupled_var = v
[]
[BCs]
[./all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[../]
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = true
[console]
type = Console
system_info = 'framework mesh aux nonlinear relationship execution'
[]
[]
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Postprocessors]
[num_rm]
type = NumRelationshipManagers
[]
[]
(test/tests/variables/fe_hier/hier-2-1d.i)
[Mesh]
type = GeneratedMesh
dim = 1
xmin = -1
xmax = 1
nx = 5
elem_type = EDGE3
[]
[Functions]
[./bc_fnl]
type = ParsedFunction
expression = -2*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 2*x
[../]
[./forcing_fn]
type = ParsedFunction
expression = -2+x*x
[../]
[./solution]
type = ParsedGradFunction
expression = x*x
grad_x = 2*x
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/materials/material/material_test_dg.i)
[Mesh]
file = sq-2blk.e
[]
[Variables]
active = 'u'
[./u]
order = FIRST
family = MONOMIAL
[./InitialCondition]
type = ConstantIC
value = 1
[../]
[../]
[]
[Functions]
active = 'forcing_fn exact_fn'
[./forcing_fn]
type = ParsedFunction
expression = (x*x*x)-6.0*x
[../]
[./exact_fn]
type = ParsedGradFunction
value = (x*x*x)
grad_x = 3*x*x
grad_y = 0
[../]
[]
[Kernels]
active = 'diff abs forcing'
[./diff]
type = MatDiffusionTest
variable = u
prop_name = matp
[../]
[./abs]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[DGKernels]
active = 'dgdiff'
[./dgdiff]
type = DGDiffusion
variable = u
sigma = 6
epsilon = -1.0
diff = matp
[../]
[]
[BCs]
active = 'all'
[./all]
type = DGMDDBC
variable = u
boundary = '1 2 3 4'
function = exact_fn
prop_name = matp
sigma = 6
epsilon = -1.0
[../]
[]
[Materials]
active = 'mat_1 mat_2'
[./mat_1]
type = MTMaterial
block = 1
value = 1
[../]
[./mat_2]
type = MTMaterial
block = 2
value = 2
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
file_base = out_dg
exodus = true
[]
(test/tests/nodalkernels/penalty_dirichlet/nodal_penalty_dirichlet.i)
#In order to compare the solution generated using preset BC, the penalty was set to 1e10.
#Large penalty number should be used with caution.
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD4
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = -2*(x*x+y*y-2)
[../]
[./solution]
type = ParsedGradFunction
value = (1-x*x)*(1-y*y)
grad_x = 2*(x*y*y-x)
grad_y = 2*(x*x*y-y)
[../]
[]
[Variables]
[./u]
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[NodalKernels]
[./bc_all]
type = PenaltyDirichletNodalKernel
variable = u
value = 0
boundary = 'top left right bottom'
penalty = 1e10
[../]
[]
# [BCs]
# [./fix]
# type = DirichletBC
# preset = true
# variable = u
# value = 0
# boundary = 'top left right bottom'
# [../]
# []
[Postprocessors]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-14
[]
[Outputs]
file_base = nodal_preset_bc_out
exodus = true
[]
(test/tests/time_integrators/implicit-euler/ie-monomials.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
elem_type = QUAD4
[]
[Variables]
[./u]
order = FIRST
family = MONOMIAL
[../]
[]
[ICs]
[./u_ic]
type = ConstantIC
variable = u
value = 1
[../]
[]
[Functions]
active = 'forcing_fn exact_fn'
[./forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[../]
[./exact_fn]
type = ParsedGradFunction
value = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[../]
[]
[Kernels]
[./time]
type = TimeDerivative
variable = u
[../]
[./diff]
type = Diffusion
variable = u
[../]
[./abs] # u * v
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[DGKernels]
[./dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
[../]
[]
[BCs]
[./all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
solve_type = 'NEWTON'
[../]
[]
[Executioner]
type = Transient
nl_rel_tol = 1e-10
num_steps = 1
[]
[Outputs]
execute_on = 'timestep_end'
console = true
[]
(test/tests/dgkernels/3d_diffusion_dg/3d_diffusion_dg_test.i)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 5
ny = 5
nz = 5
xmin = 0
xmax = 1
ymin = 0
ymax = 1
zmin = 0
zmax = 1
elem_type = HEX8
[]
[Variables]
active = 'u'
[./u]
order = FIRST
family = MONOMIAL
[./InitialCondition]
type = ConstantIC
value = 0.5
[../]
[../]
[]
[Functions]
active = 'forcing_fn exact_fn'
[./forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[../]
[./exact_fn]
type = ParsedGradFunction
value = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[../]
[]
[Kernels]
active = 'diff abs forcing'
[./diff]
type = Diffusion
variable = u
[../]
[./abs] # u * v
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[DGKernels]
active = 'dg_diff'
[./dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
[../]
[]
[BCs]
active = 'all'
[./all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3 4 5'
function = exact_fn
epsilon = -1
sigma = 6
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Postprocessors]
active = 'h dofs l2_err'
[./h]
type = AverageElementSize
execute_on = 'initial timestep_end'
[../]
[./dofs]
type = NumDOFs
execute_on = 'initial timestep_end'
[../]
[./l2_err]
type = ElementL2Error
variable = u
function = exact_fn
execute_on = 'initial timestep_end'
[../]
[]
[Outputs]
file_base = out
exodus = true
[]
(test/tests/ics/function_ic/parsed_function.i)
#
# Test the automatically generated gradients in ParsedFunction and the gradient pass-through in FunctionIC
# OLD MOOSE behavior was for parsed_function to behave the same as parsed_zerograd_function
# NEW MOOSE behavior is for parsed_function to behave the same as parsed_grad_function
#
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 3.141
ymin = 0
ymax = 3.141
nx = 10
ny = 10
[]
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Functions]
[./parsed_function]
type = ParsedFunction
expression = 'sin(x)-cos(y/2)'
[../]
[./parsed_grad_function]
type =ParsedGradFunction
expression = 'sin(x)-cos(y/2)'
grad_x = 'cos(x)'
grad_y = 'sin(y/2)/2'
[../]
[./parsed_zerograd_function]
type = ParsedGradFunction
value = 'sin(x)-cos(y/2)'
grad_x = '0'
grad_y = '0'
[../]
[]
[ICs]
[./u_ic]
type = FunctionIC
variable = 'u'
function = parsed_function
[../]
[]
[Executioner]
type = Steady
[]
[Problem]
solve = false
[]
[Outputs]
file_base = parsed
[./OverSampling]
type = Exodus
refinements = 3
[../]
[]
(test/tests/outputs/debug/show_var_residual_norms_debug.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fnu]
type = ParsedFunction
expression = -5.8*(x+y)+x*x*x-x+y*y*y-y
[../]
[./forcing_fnv]
type = ParsedFunction
expression = -4
[../]
[./slnu]
type = ParsedGradFunction
value = x*x*x-x+y*y*y-y
grad_x = 3*x*x-1
grad_y = 3*y*y-1
[../]
[./slnv]
type = ParsedGradFunction
value = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[../]
#NeumannBC functions
[./bc_fnut]
type = ParsedFunction
expression = 3*y*y-1
[../]
[./bc_fnub]
type = ParsedFunction
expression = -3*y*y+1
[../]
[./bc_fnul]
type = ParsedFunction
expression = -3*x*x+1
[../]
[./bc_fnur]
type = ParsedFunction
expression = 3*x*x-1
[../]
[]
[Variables]
[./u]
order = THIRD
family = HIERARCHIC
[../]
[./v]
order = SECOND
family = LAGRANGE
[../]
[]
[Kernels]
active = 'diff1 diff2 test1 forceu forcev react'
[./diff1]
type = Diffusion
variable = u
[../]
[./test1]
type = CoupledConvection
variable = u
velocity_vector = v
[../]
[./diff2]
type = Diffusion
variable = v
[../]
[./react]
type = Reaction
variable = u
[../]
[./forceu]
type = BodyForce
variable = u
function = forcing_fnu
[../]
[./forcev]
type = BodyForce
variable = v
function = forcing_fnv
[../]
[]
[BCs]
active = 'bc_u_tb bc_v bc_ul bc_ur bc_ut bc_ub'
[./bc_u]
type = FunctionPenaltyDirichletBC
variable = u
function = slnu
boundary = 'left right top bottom'
penalty = 1e6
[../]
[./bc_v]
type = FunctionDirichletBC
variable = v
function = slnv
boundary = 'left right top bottom'
[../]
[./bc_u_lr]
type = FunctionPenaltyDirichletBC
variable = u
function = slnu
boundary = 'left right top bottom'
penalty = 1e6
[../]
[./bc_u_tb]
type = CoupledKernelGradBC
variable = u
var2 = v
vel = '0.1 0.1'
boundary = 'top bottom left right'
[../]
[./bc_ul]
type = FunctionNeumannBC
variable = u
function = bc_fnul
boundary = 'left'
[../]
[./bc_ur]
type = FunctionNeumannBC
variable = u
function = bc_fnur
boundary = 'right'
[../]
[./bc_ut]
type = FunctionNeumannBC
variable = u
function = bc_fnut
boundary = 'top'
[../]
[./bc_ub]
type = FunctionNeumannBC
variable = u
function = bc_fnub
boundary = 'bottom'
[../]
[]
[Preconditioning]
active = ' '
[./prec]
type = SMP
full = true
[../]
[]
[Postprocessors]
active='L2u L2v'
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2u]
type = ElementL2Error
variable = u
function = slnu
[../]
[./L2v]
type = ElementL2Error
variable = v
function = slnv
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
# petsc_options = '-snes'
nl_rel_tol = 1e-15
nl_abs_tol = 1e-13
[]
[Outputs]
execute_on = 'timestep_end'
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/preconditioners/pbp/pbp_dg_test.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 20
ny = 20
xmin = 0
xmax = 1
ymin = 0
ymax = 1
elem_type = QUAD4
[]
[Variables]
[./u]
order = FIRST
family = MONOMIAL
[../]
[./v]
order = FIRST
family = MONOMIAL
[../]
[]
[Preconditioning]
[./PBP]
type = PBP
solve_order = 'u v'
preconditioner = 'AMG AMG'
[../]
[]
[Kernels]
[./diff_u]
type = Diffusion
variable = u
[../]
[./abs_u]
type = Reaction
variable = u
[../]
[./forcing_u]
type = BodyForce
variable = u
function = forcing_fn
[../]
[./diff_v]
type = Diffusion
variable = v
[../]
[./abs_v]
type = Reaction
variable = v
[../]
[./forcing_v]
type = BodyForce
variable = v
function = forcing_fn
[../]
[./conv_v]
type = CoupledForce
variable = v
v = u
[../]
[]
[DGKernels]
[./dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
[../]
[./dg_diff_2]
type = DGDiffusion
variable = v
epsilon = -1
sigma = 6
[../]
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[../]
[./exact_fn]
type = ParsedGradFunction
value = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[../]
[]
[BCs]
[./all_u]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[../]
[./all_v]
type = DGFunctionDiffusionDirichletBC
variable = v
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[../]
[]
[Problem]
type = FEProblem
error_on_jacobian_nonzero_reallocation = true
[]
[Executioner]
type = Steady
l_max_its = 10
nl_max_its = 10
solve_type = JFNK
[]
[Outputs]
exodus = true
[]
(test/tests/variables/fe_hier/hier-1-3d.i)
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
nx = 5
ny = 5
elem_type = HEX8
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 1
[../]
[./bc_fnb]
type = ParsedFunction
expression = -1
[../]
[./bc_fnl]
type = ParsedFunction
expression = -1
[../]
[./bc_fnr]
type = ParsedFunction
expression = 1
[../]
[./bc_fnf]
type = ParsedFunction
expression = 1
[../]
[./bc_fnk]
type = ParsedFunction
expression = -1
[../]
[./forcing_fn]
type = ParsedFunction
expression = x+y+z
[../]
[./solution]
type = ParsedGradFunction
expression = x+y+z
grad_x = 1
grad_y = 1
grad_z = 1
[../]
[]
[Variables]
[./u]
order = FIRST
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[./bc_front]
type = FunctionNeumannBC
variable = u
boundary = 'front'
function = bc_fnf
[../]
[./bc_back]
type = FunctionNeumannBC
variable = u
boundary = 'back'
function = bc_fnk
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/bcs/penalty_dirichlet_bc/function_penalty_dirichlet_bc_test.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = -4+x*x+y*y
[../]
[./solution]
type = ParsedGradFunction
value = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
active = 'bc_all'
[./bc_all]
type = FunctionPenaltyDirichletBC
variable = u
function = solution
boundary = 'top left right bottom'
penalty = 1e6
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-14
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/variables/fe_hermite_convergence/hermite_converge_dirichlet.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 4
ny = 4
elem_type = QUAD4
# This test will not work in parallel with DistributedMesh enabled
# due to a bug in PeriodicBCs.
parallel_type = replicated
[]
[Functions]
[./bc_fn]
type = ParsedGradFunction
value = -sin(pi*x)*sin(pi*y)
grad_x = -pi*cos(pi*x)*sin(pi*y)
grad_y = -pi*sin(pi*x)*cos(pi*y)
[../]
[./forcing_fn]
type = ParsedFunction
expression = -2*pi*pi*sin(pi*x)*sin(pi*y)-sin(pi*x)*sin(pi*y)
[../]
[]
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./all]
type = FunctionPenaltyDirichletBC
variable = u
boundary = 'bottom right top left'
function = bc_fn
penalty = 1e10
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = bc_fn
[../]
[./H1error]
type = ElementH1Error
variable = u
function = bc_fn
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = bc_fn
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
# We use higher-order quadrature to ensure that the forcing function
# is integrated accurately.
[./Quadrature]
order=ELEVENTH
[../]
[]
[Adaptivity]
steps = 2
marker = uniform
[./Markers]
[./uniform]
type = UniformMarker
mark = refine
[../]
[../]
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
print_mesh_changed_info = true
[]
(test/tests/bcs/ad_penalty_dirichlet_bc/function_penalty_dirichlet_bc_test.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = -4+x*x+y*y
[../]
[./solution]
type = ParsedGradFunction
value = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = ADDiffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = ADBodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
active = 'bc_all'
[./bc_all]
type = ADFunctionPenaltyDirichletBC
variable = u
function = solution
boundary = 'top left right bottom'
penalty = 1e6
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
nl_rel_tol = 1e-14
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/variables/fe_hier/hier-1-2d.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 5
ny = 5
elem_type = QUAD9
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 1
[../]
[./bc_fnb]
type = ParsedFunction
expression = -1
[../]
[./bc_fnl]
type = ParsedFunction
expression = -1
[../]
[./bc_fnr]
type = ParsedFunction
expression = 1
[../]
[./forcing_fn]
type = ParsedFunction
expression = x+y
[../]
[./solution]
type = ParsedGradFunction
expression = x+y
grad_x = 1
grad_y = 1
[../]
[]
[Variables]
[./u]
order = FIRST
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/dgkernels/2d_diffusion_dg/2d_diffusion_dg_test.i)
###########################################################
# This is a test of the Discontinuous Galerkin System.
# Discontinous basis functions are used (Monomials) and
# a Laplacian DGKernel contributes to the
# internal edges around each element. Jumps are allowed
# but penalized by this method.
#
# @Requirement F3.60
###########################################################
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
# xmin = -1
# xmax = 1
# ymin = -1
# ymax = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 1
elem_type = QUAD4
[]
[Variables]
active = 'u'
[./u]
order = FIRST
family = MONOMIAL
[./InitialCondition]
type = ConstantIC
value = 1
[../]
[../]
[]
[Functions]
active = 'forcing_fn exact_fn'
[./forcing_fn]
type = ParsedFunction
# function = -4.0+(x*x)+(y*y)
# function = x
# function = (x*x)-2.0
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
# function = (x*x*x)-6.0*x
[../]
[./exact_fn]
type = ParsedGradFunction
# function = x
# grad_x = 1
# grad_y = 0
# function = (x*x)+(y*y)
# grad_x = 2*x
# grad_y = 2*y
# function = (x*x)
# grad_x = 2*x
# grad_y = 0
value = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
# function = (x*x*x)
# grad_x = 3*x*x
# grad_y = 0
[../]
[]
[Kernels]
active = 'diff abs forcing'
[./diff]
type = Diffusion
variable = u
[../]
[./abs] # u * v
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[DGKernels]
active = 'dg_diff'
[./dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
[../]
[]
[BCs]
active = 'all'
[./all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
# petsc_options = '-snes_mf'
# petsc_options_iname = '-pc_type -pc_hypre_type'
# petsc_options_value = 'hypre boomeramg'
# petsc_options = '-snes_mf'
# max_r_steps = 2
[./Adaptivity]
steps = 2
refine_fraction = 1.0
coarsen_fraction = 0
max_h_level = 8
[../]
nl_rel_tol = 1e-10
# nl_rel_tol = 1e-12
[]
[Postprocessors]
active = 'h dofs l2_err'
[./h]
type = AverageElementSize
[../]
[./dofs]
type = NumDOFs
[../]
[./l2_err]
type = ElementL2Error
variable = u
function = exact_fn
[../]
[]
[Outputs]
file_base = out
exodus = true
[]
(test/tests/misc/check_error/coupled_grad_without_declare.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fnu]
type = ParsedFunction
expression = -5.8*(x+y)+x*x*x-x+y*y*y-y
[../]
[./forcing_fnv]
type = ParsedFunction
expression = -4
[../]
[./slnu]
type = ParsedGradFunction
value = x*x*x-x+y*y*y-y
grad_x = 3*x*x-1
grad_y = 3*y*y-1
[../]
[./slnv]
type = ParsedGradFunction
value = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[../]
#NeumannBC functions
[./bc_fnut]
type = ParsedFunction
expression = 3*y*y-1
[../]
[./bc_fnub]
type = ParsedFunction
expression = -3*y*y+1
[../]
[./bc_fnul]
type = ParsedFunction
expression = -3*x*x+1
[../]
[./bc_fnur]
type = ParsedFunction
expression = 3*x*x-1
[../]
[]
[Variables]
[./u]
order = THIRD
family = HIERARCHIC
[../]
[./v]
order = SECOND
family = LAGRANGE
[../]
[]
[Kernels]
active = 'diff1 diff2 test1 forceu forcev react'
[./diff1]
type = Diffusion
variable = u
[../]
[./test1]
type = CoupledConvection
variable = u
velocity_vector = v
# Trigger the error in this class
test_coupling_declaration_error = true
[../]
[./diff2]
type = Diffusion
variable = v
[../]
[./react]
type = Reaction
variable = u
[../]
[./forceu]
type = BodyForce
variable = u
function = forcing_fnu
[../]
[./forcev]
type = BodyForce
variable = v
function = forcing_fnv
[../]
[]
[BCs]
active = 'bc_u_tb bc_v bc_ul bc_ur bc_ut bc_ub'
[./bc_u]
type = FunctionPenaltyDirichletBC
variable = u
function = slnu
boundary = 'left right top bottom'
penalty = 1e6
[../]
[./bc_v]
type = FunctionDirichletBC
variable = v
function = slnv
boundary = 'left right top bottom'
[../]
[./bc_u_lr]
type = FunctionPenaltyDirichletBC
variable = u
function = slnu
boundary = 'left right top bottom'
penalty = 1e6
[../]
[./bc_u_tb]
type = CoupledKernelGradBC
variable = u
var2 = v
vel = '0.1 0.1'
boundary = 'top bottom left right'
[../]
[./bc_ul]
type = FunctionNeumannBC
variable = u
function = bc_fnul
boundary = 'left'
[../]
[./bc_ur]
type = FunctionNeumannBC
variable = u
function = bc_fnur
boundary = 'right'
[../]
[./bc_ut]
type = FunctionNeumannBC
variable = u
function = bc_fnut
boundary = 'top'
[../]
[./bc_ub]
type = FunctionNeumannBC
variable = u
function = bc_fnub
boundary = 'bottom'
[../]
[]
[Preconditioning]
active = ' '
[./prec]
type = SMP
full = true
[../]
[]
[Postprocessors]
active='L2u L2v'
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2u]
type = ElementL2Error
variable = u
function = slnu
[../]
[./L2v]
type = ElementL2Error
variable = v
function = slnv
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
# petsc_options = '-snes'
nl_rel_tol = 1e-15
nl_abs_tol = 1e-13
[]
[Outputs]
execute_on = 'timestep_end'
[]
[Debug]
show_var_residual_norms = true
[]
(test/tests/bcs/penalty_dirichlet_bc/penalty_dirichlet_bc_test.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = -2*(x*x+y*y-2)+(1-x*x)*(1-y*y)
[../]
[./solution]
type = ParsedGradFunction
value = (1-x*x)*(1-y*y)
grad_x = 2*(x*y*y-x)
grad_y = 2*(x*x*y-y)
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
active = 'bc_all'
[./bc_all]
type = PenaltyDirichletBC
variable = u
value = 0
boundary = 'top left right bottom'
penalty = 1e5
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
nl_rel_tol = 1e-14
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/postprocessors/element_h1_error_pps/element_h1_error_pp_test.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 3
ny = 3
xmin = 0
xmax = 2
ymin = 0
ymax = 2
[]
[Variables]
active = 'u'
[./u]
order = FIRST
family = LAGRANGE
[../]
[]
[Functions]
active = 'forcing_func u_func'
[./forcing_func]
type = ParsedFunction
#expression = alpha*alpha*pi*pi*(y*y*sin(alpha*pi*x*y)+y*y*sin(alpha*pi*x*y))
expression = alpha*alpha*pi*pi*sin(alpha*pi*x)
symbol_names = 'alpha'
symbol_values = '4'
[../]
[./u_func]
type = ParsedGradFunction
#value = sin(alpha*pi*x*y)
#grad_x = alpha*pi*y*cos(alpha*pi*x*y)
#grad_y = alpha*pi*x*cos(alpha*pi*x*y)
value = sin(alpha*pi*x)
grad_x = alpha*pi*cos(alpha*pi*x)
symbol_names = 'alpha'
symbol_values = '4'
[../]
[]
[Kernels]
active = 'diff forcing'
[./diff]
type = Diffusion
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_func
[../]
[]
[BCs]
active = 'left right'
[./left]
type = DirichletBC
variable = u
boundary = '1'
value = 0
[../]
[./right]
type = DirichletBC
variable = u
boundary = '3'
value = 0
[../]
[]
[Executioner]
type = Steady
[./Adaptivity]
refine_fraction = 1.0
coarsen_fraction = 0.0
max_h_level = 10
steps = 4
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
execute_on = 'initial timestep_end'
[../]
[./h1_error]
type = ElementH1Error
variable = u
function = u_func
execute_on = 'initial timestep_end'
[../]
[./h1_semi]
type = ElementH1SemiError
variable = u
function = u_func
execute_on = 'initial timestep_end'
[../]
[./l2_error]
type = ElementL2Error
variable = u
function = u_func
execute_on = 'initial timestep_end'
[../]
[]
[Outputs]
file_base = out
exodus = false
csv = true
[]
(test/tests/variables/fe_hermite/hermite-3-1d.i)
###########################################################
# This is a simple test demonstrating the use of the
# Hermite variable type.
#
# @Requirement F3.10
###########################################################
[Mesh]
type = GeneratedMesh
dim = 1
xmin = -1
xmax = 1
nx = 5
elem_type = EDGE3
[]
[Functions]
[./bc_fnl]
type = ParsedFunction
expression = -3*x*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 3*x*x
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6*x+(x*x*x)
[../]
[./solution]
type = ParsedGradFunction
value = x*x*x
grad_x = 3*x*x
[../]
[]
# Hermite Variable type
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/postprocessors/num_vars/num_vars.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fnu]
type = ParsedFunction
expression = -6*(x+y)+x*x+y*y
[../]
[./forcing_fnv]
type = ParsedFunction
expression = -4+x*x*x-x+y*y*y-y
[../]
[./bc_fnut]
type = ParsedFunction
expression = 3*y*y-1
[../]
[./bc_fnub]
type = ParsedFunction
expression = -3*y*y+1
[../]
[./bc_fnul]
type = ParsedFunction
expression = -3*x*x+1
[../]
[./bc_fnur]
type = ParsedFunction
expression = 3*x*x-1
[../]
[./slnu]
type = ParsedGradFunction
expression = x*x*x-x+y*y*y-y
grad_x = 3*x*x-1
grad_y = 3*y*y-1
[../]
[./slnv]
type = ParsedGradFunction
value = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[../]
[]
[Variables]
[./u]
order = THIRD
family = HIERARCHIC
[../]
[./v]
order = SECOND
family = LAGRANGE
[../]
[]
[Kernels]
[./diff1]
type = Diffusion
variable = u
[../]
[./diff2]
type = Diffusion
variable = v
[../]
[./forceu]
type = BodyForce
variable = u
function = forcing_fnu
[../]
[./forcev]
type = BodyForce
variable = v
function = forcing_fnv
[../]
[]
[BCs]
# active = 'bc_u bc_v'
# [./bc_u]
# type = FunctionDirichletBC
# variable = u
# function = slnu
# boundary = 'top left right bottom'
# [../]
[./bc_ut]
type = FunctionDirichletBC
variable = u
boundary = top
function = bc_fnut
[../]
[./bc_ub]
type = FunctionDirichletBC
variable = u
boundary = bottom
function = bc_fnub
[../]
[./bc_ul]
type = FunctionDirichletBC
variable = u
boundary = left
function = bc_fnul
[../]
[./bc_ur]
type = FunctionDirichletBC
variable = u
boundary = right
function = bc_fnur
[../]
[./bc_v]
type = FunctionDirichletBC
variable = v
function = slnv
boundary = 'top left right bottom'
[../]
[]
[Preconditioning]
[./prec]
type = SMP
full = true
[../]
[]
[Postprocessors]
active = 'num_vars'
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2u]
type = ElementL2Error
variable = u
function = slnu
[../]
[./L2v]
type = ElementL2Error
variable = v
function = slnv
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[./num_vars]
type = NumVars
system = 'NL'
[../]
[]
[Executioner]
type = Steady
solve_type = NEWTON
nl_rel_tol = 1e-15
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
execute_on = 'timestep_end'
csv = true
[]
(test/tests/variables/fe_hermite/hermite-3-2d.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 5
ny = 5
elem_type = QUAD9
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 3*y*y
[../]
[./bc_fnb]
type = ParsedFunction
expression = -3*y*y
[../]
[./bc_fnl]
type = ParsedFunction
expression = -3*x*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 3*x*x
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6*x-6*y+(x*x*x)+(y*y*y)
[../]
[./solution]
type = ParsedGradFunction
value = (x*x*x)+(y*y*y)
grad_x = 3*x*x
grad_y = 3*y*y
[../]
[]
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/variables/fe_hermite/hermite-3-3d.i)
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
nx = 1
ny = 1
nz = 1
elem_type = HEX27
# This problem only has 1 element, so using DistributedMesh in parallel
# isn't really an option, and we don't care that much about DistributedMesh
# in serial.
parallel_type = replicated
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 3*y*y
[../]
[./bc_fnb]
type = ParsedFunction
expression = -3*y*y
[../]
[./bc_fnl]
type = ParsedFunction
expression = -3*x*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 3*x*x
[../]
[./bc_fnk]
type = ParsedFunction
expression = -3*z*z
[../]
[./bc_fnf]
type = ParsedFunction
expression = 3*z*z
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6*x-6*y-6*z+(x*x*x)+(y*y*y)+(z*z*z)
[../]
[./solution]
type = ParsedGradFunction
value = (x*x*x)+(y*y*y)+(z*z*z)
grad_x = 3*x*x
grad_y = 3*y*y
grad_z = 3*z*z
[../]
[]
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[./bc_front]
type = FunctionNeumannBC
variable = u
boundary = 'front'
function = bc_fnf
[../]
[./bc_back]
type = FunctionNeumannBC
variable = u
boundary = 'back'
function = bc_fnk
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = NEWTON
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(test/tests/variables/fe_hermite_convergence/hermite_converge_periodic.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 4
ny = 4
elem_type = QUAD4
# This test will not work in parallel with DistributedMesh enabled
# due to a bug in PeriodicBCs.
parallel_type = replicated
[]
[Functions]
[./bc_fn]
type = ParsedGradFunction
value = -sin(pi*x)*sin(pi*y)
grad_x = -pi*cos(pi*x)*sin(pi*y)
grad_y = -pi*sin(pi*x)*cos(pi*y)
[../]
[./bc_fnt]
type = ParsedFunction
expression = -pi*sin(pi*x)*cos(pi*y)
[../]
[./bc_fnb]
type = ParsedFunction
expression = pi*sin(pi*x)*cos(pi*y)
[../]
[./forcing_fn]
type = ParsedFunction
expression = -2*pi*pi*sin(pi*x)*sin(pi*y)-sin(pi*x)*sin(pi*y)
[../]
[]
[Variables]
[./u]
order = THIRD
family = HERMITE
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./Periodic]
[./all]
variable = u
auto_direction= 'x y'
[../]
[../]
[./bc_top]
type=FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type=FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = bc_fn
[../]
[./H1error]
type = ElementH1Error
variable = u
function = bc_fn
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = bc_fn
[../]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
# We use higher-order quadrature to ensure that the forcing function
# is integrated accurately.
[./Quadrature]
order=ELEVENTH
[../]
[]
[Adaptivity]
steps = 2
marker = uniform
[./Markers]
[./uniform]
type = UniformMarker
mark = refine
[../]
[../]
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
print_mesh_changed_info = true
[]
(test/tests/dgkernels/stateful-coupled-var/test.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
elem_type = QUAD4
[]
[Variables]
[u]
order = FIRST
family = MONOMIAL
[]
[]
[Functions]
[exact_fn]
type = ParsedGradFunction
value = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[]
[]
[Kernels]
[diff]
type = Diffusion
variable = u
[]
[]
[DGKernels]
[dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
diff = diffusion
[]
[]
[Materials]
[coupled_mat]
type = VarCouplingMaterial
var = u
declare_old = true
use_tag = false
[]
[]
[BCs]
[all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
[]
(test/tests/dgkernels/dg_displacement/dg_displacement.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
displacements = 'disp_x disp_y'
[]
[Variables]
[./u]
order = FIRST
family = MONOMIAL
[../]
[]
[AuxVariables]
[./disp_x]
[../]
[./disp_y]
[../]
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
expression = 2*pow(e,-x-(y*y))*(1-2*y*y)
[../]
[./exact_fn]
type = ParsedGradFunction
expression = pow(e,-x-(y*y))
grad_x = -pow(e,-x-(y*y))
grad_y = -2*y*pow(e,-x-(y*y))
[../]
[./disp_func]
type = ParsedFunction
expression = x
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[./abs]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[DGKernels]
[./dg_diff]
type = DGDiffusion
variable = u
epsilon = -1
sigma = 6
use_displaced_mesh = true
[../]
[]
[BCs]
[./all]
type = DGFunctionDiffusionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
epsilon = -1
sigma = 6
[../]
[]
[Executioner]
type = Steady
solve_type = PJFNK
nl_rel_tol = 1e-10
[]
[Outputs]
execute_on = 'timestep_end'
file_base = out
exodus = true
[]
[ICs]
[./disp_x_ic]
function = disp_func
variable = disp_x
type = FunctionIC
[../]
[]
(test/tests/outputs/debug/show_var_residual_norms.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Functions]
[./forcing_fnu]
type = ParsedFunction
expression = -5.8*(x+y)+x*x*x-x+y*y*y-y
[../]
[./forcing_fnv]
type = ParsedFunction
expression = -4
[../]
[./slnu]
type = ParsedGradFunction
value = x*x*x-x+y*y*y-y
grad_x = 3*x*x-1
grad_y = 3*y*y-1
[../]
[./slnv]
type = ParsedGradFunction
value = x*x+y*y
grad_x = 2*x
grad_y = 2*y
[../]
#NeumannBC functions
[./bc_fnut]
type = ParsedFunction
expression = 3*y*y-1
[../]
[./bc_fnub]
type = ParsedFunction
expression = -3*y*y+1
[../]
[./bc_fnul]
type = ParsedFunction
expression = -3*x*x+1
[../]
[./bc_fnur]
type = ParsedFunction
expression = 3*x*x-1
[../]
[]
[Variables]
[./u]
order = THIRD
family = HIERARCHIC
[../]
[./v]
order = SECOND
family = LAGRANGE
[../]
[]
[Kernels]
active = 'diff1 diff2 test1 forceu forcev react'
[./diff1]
type = Diffusion
variable = u
[../]
[./test1]
type = CoupledConvection
variable = u
velocity_vector = v
[../]
[./diff2]
type = Diffusion
variable = v
[../]
[./react]
type = Reaction
variable = u
[../]
[./forceu]
type = BodyForce
variable = u
function = forcing_fnu
[../]
[./forcev]
type = BodyForce
variable = v
function = forcing_fnv
[../]
[]
[BCs]
active = 'bc_u_tb bc_v bc_ul bc_ur bc_ut bc_ub'
[./bc_u]
type = FunctionPenaltyDirichletBC
variable = u
function = slnu
boundary = 'left right top bottom'
penalty = 1e6
[../]
[./bc_v]
type = FunctionDirichletBC
variable = v
function = slnv
boundary = 'left right top bottom'
[../]
[./bc_u_lr]
type = FunctionPenaltyDirichletBC
variable = u
function = slnu
boundary = 'left right top bottom'
penalty = 1e6
[../]
[./bc_u_tb]
type = CoupledKernelGradBC
variable = u
var2 = v
vel = '0.1 0.1'
boundary = 'top bottom left right'
[../]
[./bc_ul]
type = FunctionNeumannBC
variable = u
function = bc_fnul
boundary = 'left'
[../]
[./bc_ur]
type = FunctionNeumannBC
variable = u
function = bc_fnur
boundary = 'right'
[../]
[./bc_ut]
type = FunctionNeumannBC
variable = u
function = bc_fnut
boundary = 'top'
[../]
[./bc_ub]
type = FunctionNeumannBC
variable = u
function = bc_fnub
boundary = 'bottom'
[../]
[]
[Preconditioning]
active = ' '
[./prec]
type = SMP
full = true
[../]
[]
[Postprocessors]
active='L2u L2v'
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2u]
type = ElementL2Error
variable = u
function = slnu
[../]
[./L2v]
type = ElementL2Error
variable = v
function = slnv
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
solve_type = 'PJFNK'
# petsc_options = '-snes'
nl_rel_tol = 1e-15
nl_abs_tol = 1e-13
[]
[Outputs]
execute_on = 'timestep_end'
[./debug] # This is a test, use the [Debug] block to enable this
type = VariableResidualNormsDebugOutput
[../]
[]
(test/tests/variables/fe_hier/hier-2-3d.i)
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
nx = 1
ny = 1
nz = 1
elem_type = HEX27
# This problem only has 1 element, so using DistributedMesh in parallel
# isn't really an option, and we don't care that much about DistributedMesh
# in serial.
parallel_type = replicated
[]
[Functions]
[./bc_fnt]
type = ParsedFunction
expression = 2*y
[../]
[./bc_fnb]
type = ParsedFunction
expression = -2*y
[../]
[./bc_fnl]
type = ParsedFunction
expression = -2*x
[../]
[./bc_fnr]
type = ParsedFunction
expression = 2*x
[../]
[./bc_fnf]
type = ParsedFunction
expression = 2*z
[../]
[./bc_fnk]
type = ParsedFunction
expression = -2*z
[../]
[./forcing_fn]
type = ParsedFunction
expression = -6+x*x+y*y+z*z
[../]
[./solution]
type = ParsedGradFunction
expression = x*x+y*y+z*z
grad_x = 2*x
grad_y = 2*y
grad_z = 2*z
[../]
[]
[Variables]
[./u]
order = SECOND
family = HIERARCHIC
[../]
[]
[Kernels]
active = 'diff forcing reaction'
[./diff]
type = Diffusion
variable = u
[../]
[./reaction]
type = Reaction
variable = u
[../]
[./forcing]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./bc_top]
type = FunctionNeumannBC
variable = u
boundary = 'top'
function = bc_fnt
[../]
[./bc_bottom]
type = FunctionNeumannBC
variable = u
boundary = 'bottom'
function = bc_fnb
[../]
[./bc_left]
type = FunctionNeumannBC
variable = u
boundary = 'left'
function = bc_fnl
[../]
[./bc_right]
type = FunctionNeumannBC
variable = u
boundary = 'right'
function = bc_fnr
[../]
[./bc_front]
type = FunctionNeumannBC
variable = u
boundary = 'front'
function = bc_fnf
[../]
[./bc_back]
type = FunctionNeumannBC
variable = u
boundary = 'back'
function = bc_fnk
[../]
[]
[Postprocessors]
[./dofs]
type = NumDOFs
[../]
[./h]
type = AverageElementSize
[../]
[./L2error]
type = ElementL2Error
variable = u
function = solution
[../]
[./H1error]
type = ElementH1Error
variable = u
function = solution
[../]
[./H1Semierror]
type = ElementH1SemiError
variable = u
function = solution
[../]
[]
[Executioner]
type = Steady
nl_rel_tol = 1e-11
solve_type = 'PJFNK'
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]