- variableName of the variable
C++ Type:VariableName
Description:Name of the variable
ScalarVariable
under construction:Undocumented Class
The ScalarVariable has not been documented. The content listed below should be used as a starting point for documenting the class, which includes the typical automatic documentation associated with a MooseObject; however, what is contained is ultimately determined by what is necessary to make the documentation clear for users.
# ScalarVariable
!syntax description /Postprocessors/ScalarVariable
## Overview
!! Replace these lines with information regarding the ScalarVariable object.
## Example Input File Syntax
!! Describe and include an example of how to use the ScalarVariable object.
!syntax parameters /Postprocessors/ScalarVariable
!syntax inputs /Postprocessors/ScalarVariable
!syntax children /Postprocessors/ScalarVariable
!syntax description /Postprocessors/ScalarVariable
Input Parameters
- component0Component to output for this variable
Default:0
C++ Type:unsigned int
Options:
Description:Component to output for this variable
- execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Options:NONE INITIAL LINEAR NONLINEAR TIMESTEP_END TIMESTEP_BEGIN FINAL CUSTOM TRANSFER
Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.
Optional Parameters
- allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Options:
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector
Options:
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
Description:Set the enabled status of the MooseObject.
- force_preauxFalseForces the GeneralUserObject to be executed in PREAUX
Default:False
C++ Type:bool
Options:
Description:Forces the GeneralUserObject to be executed in PREAUX
- outputsVector of output names were you would like to restrict the output of variables(s) associated with this object
C++ Type:std::vector
Options:
Description:Vector of output names were you would like to restrict the output of variables(s) associated with this object
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Options:
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
Input Files
- test/tests/kernels/ode/coupled_ode_td.i
- test/tests/kernels/ode/coupled_ode_td_var_ic_from_mesh.i
- test/tests/outputs/nemesis/nemesis_scalar.i
- test/tests/outputs/exodus/variable_output_test.i
- examples/ex18_scalar_kernel/ex18.i
- examples/ex18_scalar_kernel/ex18_parsed.i
- test/tests/postprocessors/scalar_variable/scalar_variable_pps.i
- test/tests/auxkernels/function_scalar_aux/function_scalar_aux.i
- test/tests/auxkernels/aux_nodal_scalar_kernel/aux_nodal_scalar_kernel.i
- test/tests/outputs/variables/output_vars_nonexistent.i
- test/tests/kernels/ode/ode_sys_impl_test.i
- test/tests/transfers/multiapp_postprocessor_to_scalar/sub.i
- test/tests/dirackernels/aux_scalar_variable/aux_scalar_variable.i
- test/tests/time_integrators/scalar/stiff.i
- test/tests/outputs/variables/output_vars_test.i
- test/tests/kernels/ode/coupled_ode_td_auxvar_ic_from_mesh.i
- test/tests/controls/time_periods/transfers/sub.i
- test/tests/ics/component_ic/component_ic.i
- test/tests/kernels/ode/parsedode_pp_test.i
- test/tests/kernels/ode/parsedode_sys_impl_test.i
- test/tests/kernels/ode/ode_expl_test.i
- test/tests/transfers/multiapp_postprocessor_to_scalar/master2.i
- test/tests/outputs/variables/output_vars_hidden_shown_check.i
- test/tests/auxkernels/constant_scalar_aux/constant_scalar_aux.i
test/tests/kernels/ode/coupled_ode_td.i
[Mesh]
type = GeneratedMesh
dim = 1
xmin = 0
xmax = 1
nx = 1
[]
[Variables]
[./f]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[./f_times_mult]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[]
[ScalarKernels]
[./dT]
type = CoupledODETimeDerivative
variable = f
v = f_times_mult
[../]
[./src]
type = ParsedODEKernel
variable = f
function = '-1'
[../]
[./f_times_mult_1]
type = ParsedODEKernel
variable = f_times_mult
function = 'f_times_mult'
[../]
[./f_times_mult_2]
type = ParsedODEKernel
variable = f_times_mult
function = '-f * g'
args = 'f g'
[../]
[]
[AuxVariables]
[./g]
family = SCALAR
order = FIRST
[../]
[]
[Functions]
[./function_g]
type = ParsedFunction
value = '(1 + t)'
[../]
[]
[AuxScalarKernels]
[./set_g]
type = FunctionScalarAux
function = function_g
variable = g
execute_on = 'linear initial'
[../]
[]
[Postprocessors]
[./f]
type = ScalarVariable
variable = f
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Transient
dt = 1
num_steps = 3
nl_abs_tol = 1e-9
[]
[Outputs]
csv = true
[]
test/tests/kernels/ode/coupled_ode_td_var_ic_from_mesh.i
[Mesh]
type = FileMesh
file = 'coupled_ode_td_out.e'
[]
[Variables]
[./f]
family = SCALAR
order = FIRST
initial_from_file_var = f
initial_from_file_timestep = 'LATEST'
[../]
[./f_times_mult]
family = SCALAR
order = FIRST
initial_from_file_var = f_times_mult
initial_from_file_timestep = 'LATEST'
[../]
[]
[ScalarKernels]
[./dT]
type = CoupledODETimeDerivative
variable = f
v = f_times_mult
[../]
[./src]
type = ParsedODEKernel
variable = f
function = '-1'
[../]
[./f_times_mult_1]
type = ParsedODEKernel
variable = f_times_mult
function = 'f_times_mult'
[../]
[./f_times_mult_2]
type = ParsedODEKernel
variable = f_times_mult
function = '-f * g'
args = 'f g'
[../]
[]
[AuxVariables]
[./g]
family = SCALAR
order = FIRST
[../]
[]
[Functions]
[./function_g]
type = ParsedFunction
value = '(1 + t)'
[../]
[]
[AuxScalarKernels]
[./set_g]
type = FunctionScalarAux
function = function_g
variable = g
execute_on = 'linear initial'
[../]
[]
[Postprocessors]
[./f]
type = ScalarVariable
variable = f
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Transient
dt = 1
num_steps = 3
nl_abs_tol = 1e-9
[]
[Outputs]
csv = true
[]
test/tests/outputs/nemesis/nemesis_scalar.i
[Mesh]
type = GeneratedMesh
dim = 1
xmin = 0
xmax = 1
nx = 4
[]
[Variables]
[./f]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[./f_times_mult]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[]
[ScalarKernels]
[./dT]
type = CoupledODETimeDerivative
variable = f
v = f_times_mult
[../]
[./src]
type = ParsedODEKernel
variable = f
function = '-1'
[../]
[./f_times_mult_1]
type = ParsedODEKernel
variable = f_times_mult
function = 'f_times_mult'
[../]
[./f_times_mult_2]
type = ParsedODEKernel
variable = f_times_mult
function = '-f * g'
args = 'f g'
[../]
[]
[AuxVariables]
[./g]
family = SCALAR
order = FIRST
[../]
[]
[Functions]
[./function_g]
type = ParsedFunction
value = '(1 + t)'
[../]
[]
[AuxScalarKernels]
[./set_g]
type = FunctionScalarAux
function = function_g
variable = g
execute_on = 'linear initial'
[../]
[]
[Postprocessors]
[./f]
type = ScalarVariable
variable = f
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Transient
dt = 1
num_steps = 3
nl_abs_tol = 1e-9
[]
[Outputs]
nemesis = true
[]
test/tests/outputs/exodus/variable_output_test.i
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
nz = 0
zmax = 0
elem_type = QUAD4
[]
[Variables]
[./u]
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./aux]
family = SCALAR
[../]
[]
[Functions]
[./force]
type = ParsedFunction
value = t
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[./force]
type = BodyForce
variable = u
function = force
[../]
[]
[BCs]
[./right]
type = DirichletBC
variable = u
boundary = right
value = 1
[../]
[./left]
type = DirichletBC
variable = u
boundary = left
value = 0
[../]
[]
[Executioner]
type = Transient
num_steps = 4
dt = 1
solve_type = PJFNK
[]
[Adaptivity]
steps = 1
marker = box
max_h_level = 2
[./Markers]
[./box]
bottom_left = '0.3 0.3 0'
inside = refine
top_right = '0.6 0.6 0'
outside = do_nothing
type = BoxMarker
[../]
[../]
[]
[Postprocessors]
[./aux_pp]
type = ScalarVariable
variable = aux
outputs = none
[../]
[]
[Outputs]
execute_on = 'timestep_end'
[./exodus]
type = Exodus
file_base = new_out
hide_variables = 'u box aux_pp'
scalar_as_nodal = true
execute_scalars_on = none
[../]
[./console]
Type = Console
[../]
[]
examples/ex18_scalar_kernel/ex18.i
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 10
ny = 10
elem_type = QUAD4
[]
[Functions]
# ODEs
[./exact_x_fn]
type = ParsedFunction
value = (-1/3)*exp(-t)+(4/3)*exp(5*t)
[../]
[./exact_y_fn]
type = ParsedFunction
value = (2/3)*exp(-t)+(4/3)*exp(5*t)
[../]
[]
[Variables]
[./diffused]
order = FIRST
family = LAGRANGE
[../]
# ODE variables
[./x]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[./y]
family = SCALAR
order = FIRST
initial_condition = 2
[../]
[]
[Kernels]
[./td]
type = TimeDerivative
variable = diffused
[../]
[./diff]
type = Diffusion
variable = diffused
[../]
[]
[ScalarKernels]
[./td1]
type = ODETimeDerivative
variable = x
[../]
[./ode1]
type = ImplicitODEx
variable = x
y = y
[../]
[./td2]
type = ODETimeDerivative
variable = y
[../]
[./ode2]
type = ImplicitODEy
variable = y
x = x
[../]
[]
[BCs]
[./right]
type = ScalarDirichletBC
variable = diffused
boundary = 1
scalar_var = x
[../]
[./left]
type = ScalarDirichletBC
variable = diffused
boundary = 3
scalar_var = y
[../]
[]
[Postprocessors]
# to print the values of x, y into a file so we can plot it
[./x]
type = ScalarVariable
variable = x
execute_on = timestep_end
[../]
[./y]
type = ScalarVariable
variable = y
execute_on = timestep_end
[../]
[./exact_x]
type = FunctionValuePostprocessor
function = exact_x_fn
execute_on = timestep_end
point = '0 0 0'
[../]
[./exact_y]
type = FunctionValuePostprocessor
function = exact_y_fn
execute_on = timestep_end
point = '0 0 0'
[../]
# Measure the error in ODE solution for 'x'.
[./l2err_x]
type = ScalarL2Error
variable = x
function = exact_x_fn
[../]
# Measure the error in ODE solution for 'y'.
[./l2err_y]
type = ScalarL2Error
variable = y
function = exact_y_fn
[../]
[]
[Executioner]
type = Transient
start_time = 0
dt = 0.01
num_steps = 10
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
[]
[Outputs]
exodus = true
[]
examples/ex18_scalar_kernel/ex18_parsed.i
#
# Example 18 modified to use parsed ODE kernels.
#
# The ParsedODEKernel takes function expressions in the input file and computes
# Jacobian entries via automatic differentiation. It allows for rapid development
# of new models without the need for code recompilation.
#
# This input file should produce the exact same result as ex18.i
#
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 10
ny = 10
elem_type = QUAD4
[]
[Functions]
# ODEs
[./exact_x_fn]
type = ParsedFunction
value = (-1/3)*exp(-t)+(4/3)*exp(5*t)
[../]
[./exact_y_fn]
type = ParsedFunction
value = (2/3)*exp(-t)+(4/3)*exp(5*t)
[../]
[]
[Variables]
[./diffused]
order = FIRST
family = LAGRANGE
[../]
# ODE variables
[./x]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[./y]
family = SCALAR
order = FIRST
initial_condition = 2
[../]
[]
[Kernels]
[./td]
type = TimeDerivative
variable = diffused
[../]
[./diff]
type = Diffusion
variable = diffused
[../]
[]
[ScalarKernels]
[./td1]
type = ODETimeDerivative
variable = x
[../]
#
# This parsed expression ODE Kernel behaves exactly as the ImplicitODEx kernel
# in the main example. Checkout ImplicitODEx::computeQpResidual() in the
# source code file ImplicitODEx.C to see the matching residual function.
#
# The ParsedODEKernel automaticaly generates the On- and Off-Diagonal Jacobian
# entries.
#
[./ode1]
type = ParsedODEKernel
function = '-3*x - 2*y'
variable = x
args = y
[../]
[./td2]
type = ODETimeDerivative
variable = y
[../]
#
# This parsed expression ODE Kernel behaves exactly as the ImplicitODEy Kernel
# in the main example.
#
[./ode2]
type = ParsedODEKernel
function = '-4*x - y'
variable = y
args = x
[../]
[]
[BCs]
[./right]
type = ScalarDirichletBC
variable = diffused
boundary = 1
scalar_var = x
[../]
[./left]
type = ScalarDirichletBC
variable = diffused
boundary = 3
scalar_var = y
[../]
[]
[Postprocessors]
# to print the values of x, y into a file so we can plot it
[./x]
type = ScalarVariable
variable = x
execute_on = timestep_end
[../]
[./y]
type = ScalarVariable
variable = y
execute_on = timestep_end
[../]
[./exact_x]
type = FunctionValuePostprocessor
function = exact_x_fn
execute_on = timestep_end
[../]
[./exact_y]
type = FunctionValuePostprocessor
function = exact_y_fn
execute_on = timestep_end
point = '0 0 0'
[../]
# Measure the error in ODE solution for 'x'.
[./l2err_x]
type = ScalarL2Error
variable = x
function = exact_x_fn
[../]
# Measure the error in ODE solution for 'y'.
[./l2err_y]
type = ScalarL2Error
variable = y
function = exact_y_fn
[../]
[]
[Executioner]
type = Transient
start_time = 0
dt = 0.01
num_steps = 10
solve_type = 'PJFNK'
[]
[Outputs]
file_base = 'ex18_out'
exodus = true
[]
test/tests/postprocessors/scalar_variable/scalar_variable_pps.i
[Mesh]
type = GeneratedMesh
dim = 1
nx = 10
[]
[Kernels]
[diff]
type = Diffusion
variable = u
[]
[time]
type = TimeDerivative
variable = u
[]
[]
[ScalarKernels]
[time]
type = ODETimeDerivative
variable = v
[]
[flux_sink]
type = PostprocessorSinkScalarKernel
variable = v
postprocessor = scale_flux
[]
[]
[BCs]
[right]
type = DirichletBC
value = 0
variable = u
boundary = 'right'
[]
[left]
type = ADMatchedScalarValueBC
variable = u
v = v
boundary = 'left'
[]
[]
[Variables]
[u][]
[v]
family = SCALAR
order = FIRST
initial_condition = 1
[]
[]
[Postprocessors]
[flux]
type = SideFluxIntegral
variable = u
diffusivity = 1
boundary = 'left'
execute_on = 'initial nonlinear linear timestep_end'
[]
[scale_flux]
type = ScalePostprocessor
scaling_factor = -1
value = flux
execute_on = 'initial nonlinear linear timestep_end'
[]
[reporter]
type = ScalarVariable
variable = v
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
dt = .1
end_time = 1
solve_type = PJFNK
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
[]
test/tests/auxkernels/function_scalar_aux/function_scalar_aux.i
#
# Testing a solution that is second order in space and first order in time
#
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[AuxVariables]
[./x]
family = SCALAR
order = FIRST
[../]
[]
[Variables]
[./u]
order = SECOND
family = LAGRANGE
[./InitialCondition]
type = ConstantIC
value = 0
[../]
[../]
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
value = ((x*x)+(y*y))-(4*t)
[../]
[./exact_fn]
type = ParsedFunction
value = t*((x*x)+(y*y))
[../]
[./x_fn]
type = ParsedFunction
value = t
[../]
[]
[AuxScalarKernels]
[./x_saux]
type = FunctionScalarAux
variable = x
function = x_fn
[../]
[]
[Kernels]
[./ie]
type = TimeDerivative
variable = u
[../]
[./diff]
type = Diffusion
variable = u
[../]
[./ffn]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./all]
type = FunctionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
[../]
[]
[Postprocessors]
[./l2_err]
type = ElementL2Error
variable = u
function = exact_fn
[../]
[./x]
type = ScalarVariable
variable = x
[../]
[]
[Executioner]
type = Transient
scheme = 'implicit-euler'
solve_type = 'PJFNK'
start_time = 0.0
num_steps = 5
dt = 0.25
[]
[Outputs]
exodus = true
[]
test/tests/auxkernels/aux_nodal_scalar_kernel/aux_nodal_scalar_kernel.i
[Mesh]
type = GeneratedMesh
dim = 1
xmin = 0
xmax = 1
nx = 10
parallel_type = replicated
[]
[Variables]
[./u]
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = u
boundary = 0
value = 1
[../]
[./right]
type = DirichletBC
variable = u
boundary = 1
value = 2
[../]
[]
[AuxVariables]
[./bc_sum]
family = SCALAR
order = FIRST
[../]
[]
[AuxScalarKernels]
[./sk]
type = SumNodalValuesAux
variable = bc_sum
nodes = '0 10'
sum_var = u
[../]
[]
[Postprocessors]
[./sum]
type = ScalarVariable
variable = bc_sum
[../]
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = true
hide = bc_sum
[]
test/tests/outputs/variables/output_vars_nonexistent.i
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Variables]
[./u]
order = FIRST
family = LAGRANGE
[../]
[./v]
order = SECOND
family = LAGRANGE
[../]
# ODE variables
[./x]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[./y]
family = SCALAR
order = FIRST
initial_condition = 2
[../]
[]
[AuxVariables]
[./elemental]
order = CONSTANT
family = MONOMIAL
[../]
[./elemental_restricted]
order = CONSTANT
family = MONOMIAL
[../]
[./nodal]
order = FIRST
family = LAGRANGE
[../]
[./nodal_restricted]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./td]
type = TimeDerivative
variable = u
[../]
[./diff_u]
type = Diffusion
variable = u
[../]
[./conv_u]
type = CoupledForce
variable = u
v = v
[../]
[./diff_v]
type = Diffusion
variable = v
[../]
[]
[AuxKernels]
[./elemental]
type = ConstantAux
variable = elemental
value = 1
[../]
[./elemental_restricted]
type = ConstantAux
variable = elemental_restricted
value = 1
[../]
[./nodal]
type = ConstantAux
variable = elemental
value = 2
[../]
[./nodal_restricted]
type = ConstantAux
variable = elemental_restricted
value = 2
[../]
[]
[ScalarKernels]
[./td1]
type = ODETimeDerivative
variable = x
[../]
[./ode1]
type = ImplicitODEx
variable = x
y = y
[../]
[./td2]
type = ODETimeDerivative
variable = y
[../]
[./ode2]
type = ImplicitODEy
variable = y
x = x
[../]
[]
[BCs]
active = 'left_u right_u left_v'
[./left_u]
type = DirichletBC
variable = u
boundary = 1
value = 1
[../]
[./right_u]
type = DirichletBC
variable = u
boundary = 3
value = 9
[../]
[./left_v]
type = DirichletBC
variable = v
boundary = 1
value = 5
[../]
[./right_v]
type = DirichletBC
variable = v
boundary = 2
value = 2
[../]
[]
[Postprocessors]
[./x]
type = ScalarVariable
variable = x
execute_on = timestep_end
[../]
[./y]
type = ScalarVariable
variable = y
execute_on = timestep_end
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
dt = 0.01
num_steps = 10
[]
[Outputs]
file_base = out_nonexistent
exodus = true
show = 'u elemental nodal x foo1 foo2'
[]
test/tests/kernels/ode/ode_sys_impl_test.i
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
elem_type = QUAD4
[]
[Functions]
[./f_fn]
type = ParsedFunction
value = -4
[../]
[./bc_all_fn]
type = ParsedFunction
value = x*x+y*y
[../]
# ODEs
[./exact_x_fn]
type = ParsedFunction
value = (-1/3)*exp(-t)+(4/3)*exp(5*t)
[../]
[]
# NL
[Variables]
[./u]
family = LAGRANGE
order = FIRST
[../]
# ODE variables
[./x]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[./y]
family = SCALAR
order = FIRST
initial_condition = 2
[../]
[]
[Kernels]
[./td]
type = TimeDerivative
variable = u
[../]
[./diff]
type = Diffusion
variable = u
[../]
[./uff]
type = BodyForce
variable = u
function = f_fn
[../]
[]
[ScalarKernels]
[./td1]
type = ODETimeDerivative
variable = x
[../]
[./ode1]
type = ImplicitODEx
variable = x
y = y
[../]
[./td2]
type = ODETimeDerivative
variable = y
[../]
[./ode2]
type = ImplicitODEy
variable = y
x = x
[../]
[]
[BCs]
[./all]
type = FunctionDirichletBC
variable = u
boundary = '0 1 2 3'
function = bc_all_fn
[../]
[]
[Postprocessors]
active = 'exact_x l2err_x x y'
[./x]
type = ScalarVariable
variable = x
execute_on = 'initial timestep_end'
[../]
[./y]
type = ScalarVariable
variable = y
execute_on = 'initial timestep_end'
[../]
[./exact_x]
type = FunctionValuePostprocessor
function = exact_x_fn
execute_on = 'initial timestep_end'
point = '0 0 0'
[../]
[./l2err_x]
type = ScalarL2Error
variable = x
function = exact_x_fn
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Transient
start_time = 0
dt = 0.01
num_steps = 100
solve_type = 'PJFNK'
[]
[Outputs]
exodus = true
[]
test/tests/transfers/multiapp_postprocessor_to_scalar/sub.i
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
[]
[Variables]
[./u]
[../]
[]
[AuxVariables]
[./from_master_app]
order = FIRST
family = SCALAR
[../]
[]
[Kernels]
[./diff]
type = CoefDiffusion
variable = u
coef = 0.01
[../]
[./td]
type = TimeDerivative
variable = u
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = u
boundary = left
value = 0
[../]
[./right]
type = DirichletBC
variable = u
boundary = right
value = 2
[../]
[]
[Postprocessors]
[./from_master]
type = ScalarVariable
variable = from_master_app
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
num_steps = 1
dt = 1
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = true
hide = from_master_app
[]
test/tests/dirackernels/aux_scalar_variable/aux_scalar_variable.i
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
uniform_refine = 2
[]
[Variables]
[./u]
[../]
[]
[AuxVariables]
[./shared]
family = SCALAR
initial_condition = 2
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = u
boundary = left
value = 0
[../]
[./right]
type = DirichletBC
variable = u
boundary = right
value = 1
[../]
[]
[Postprocessors]
[./source_value]
type = ScalarVariable
variable = shared
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Steady
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
hide = shared
exodus = true
[]
[DiracKernels]
[./source_0]
variable = u
shared = shared
type = ReportingConstantSource
point = '0.2 0.2'
[../]
[./source_1]
point = '0.8 0.8'
factor = 2
variable = u
shared = shared
type = ReportingConstantSource
[../]
[]
test/tests/time_integrators/scalar/stiff.i
# This is a linear model problem described in Frank et al, "Order
# results for implicit Runge-Kutta methods applied to stiff systems",
# SIAM J. Numerical Analysis, vol. 22, no. 3, 1985, pp. 515-534.
#
# Problems "PL" and "PNL" from page 527 of the paper:
# { dy1/dt = lambda*y1 + y2**p, y1(0) = -1/(lambda+p)
# { dy2/dt = -y2, y2(0) = 1
#
# The exact solution is:
# y1 = -exp(-p*t)/(lambda+p)
# y2 = exp(-t)
#
# According to the following paragraph from the reference above, the
# p=1 version of this problem should not exhibit order reductions
# regardless of stiffness, while the nonlinear version (p>=2) will
# exhibit order reductions down to the "stage order" of the method for
# lambda large, negative.
# Use Dollar Bracket Expressions (DBEs) to set the value of LAMBDA in
# a single place. You can also set this on the command line with
# e.g. LAMBDA=-4, but note that this does not seem to override the
# value set in the input file. This is a bit different from the way
# that command line values normally work...
# Note that LAMBDA == Y2_EXPONENT is not allowed!
# LAMBDA = -10
# Y2_EXPONENT = 2
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 1
ny = 1
elem_type = QUAD4
[]
[Variables]
[./y1]
family = SCALAR
order = FIRST
[../]
[./y2]
family = SCALAR
order = FIRST
[../]
[]
[ICs]
[./y1_init]
type = FunctionScalarIC
variable = y1
function = y1_exact
[../]
[./y2_init]
type = FunctionScalarIC
variable = y2
function = y2_exact
[../]
[]
[ScalarKernels]
[./y1_time]
type = ODETimeDerivative
variable = y1
[../]
[./y1_space]
type = ParsedODEKernel
variable = y1
function = '-(${LAMBDA})*y1 - y2^${Y2_EXPONENT}'
args = 'y2'
[../]
[./y2_time]
type = ODETimeDerivative
variable = y2
[../]
[./y2_space]
type = ParsedODEKernel
variable = y2
function = 'y2'
[../]
[]
[Executioner]
type = Transient
[./TimeIntegrator]
type = LStableDirk2
[../]
start_time = 0
end_time = 1
dt = 0.125
solve_type = 'PJFNK'
nl_max_its = 6
nl_abs_tol = 1.e-13
nl_rel_tol = 1.e-32 # Force nl_abs_tol to be used.
line_search = 'none'
[]
[Functions]
[./y1_exact]
type = ParsedFunction
value = '-exp(-${Y2_EXPONENT}*t)/(lambda+${Y2_EXPONENT})'
vars = 'lambda'
vals = ${LAMBDA}
[../]
[./y2_exact]
type = ParsedFunction
value = exp(-t)
[../]
[]
[Postprocessors]
[./error_y1]
type = ScalarL2Error
variable = y1
function = y1_exact
execute_on = 'initial timestep_end'
[../]
[./error_y2]
type = ScalarL2Error
variable = y2
function = y2_exact
execute_on = 'initial timestep_end'
[../]
[./max_error_y1]
# Estimate ||e_1||_{\infty}
type = TimeExtremeValue
value_type = max
postprocessor = error_y1
execute_on = 'initial timestep_end'
[../]
[./max_error_y2]
# Estimate ||e_2||_{\infty}
type = TimeExtremeValue
value_type = max
postprocessor = error_y2
execute_on = 'initial timestep_end'
[../]
[./value_y1]
type = ScalarVariable
variable = y1
execute_on = 'initial timestep_end'
[../]
[./value_y2]
type = ScalarVariable
variable = y2
execute_on = 'initial timestep_end'
[../]
[./value_y1_abs_max]
type = TimeExtremeValue
value_type = abs_max
postprocessor = value_y1
execute_on = 'initial timestep_end'
[../]
[./value_y2_abs_max]
type = TimeExtremeValue
value_type = abs_max
postprocessor = value_y2
execute_on = 'initial timestep_end'
[../]
[]
[Outputs]
csv = true
[]
test/tests/outputs/variables/output_vars_test.i
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Variables]
[./u]
order = FIRST
family = LAGRANGE
[../]
[./v]
order = SECOND
family = LAGRANGE
[../]
# ODE variables
[./x]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[./y]
family = SCALAR
order = FIRST
initial_condition = 2
[../]
[]
[AuxVariables]
[./elemental]
order = CONSTANT
family = MONOMIAL
[../]
[./elemental_restricted]
order = CONSTANT
family = MONOMIAL
[../]
[./nodal]
order = FIRST
family = LAGRANGE
[../]
[./nodal_restricted]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./td]
type = TimeDerivative
variable = u
[../]
[./diff_u]
type = Diffusion
variable = u
[../]
[./conv_u]
type = CoupledForce
variable = u
v = v
[../]
[./diff_v]
type = Diffusion
variable = v
[../]
[]
[AuxKernels]
[./elemental]
type = ConstantAux
variable = elemental
value = 1
[../]
[./elemental_restricted]
type = ConstantAux
variable = elemental_restricted
value = 1
[../]
[./nodal]
type = ConstantAux
variable = elemental
value = 2
[../]
[./nodal_restricted]
type = ConstantAux
variable = elemental_restricted
value = 2
[../]
[]
[ScalarKernels]
[./td1]
type = ODETimeDerivative
variable = x
[../]
[./ode1]
type = ImplicitODEx
variable = x
y = y
[../]
[./td2]
type = ODETimeDerivative
variable = y
[../]
[./ode2]
type = ImplicitODEy
variable = y
x = x
[../]
[]
[BCs]
active = 'left_u right_u left_v'
[./left_u]
type = DirichletBC
variable = u
boundary = 1
value = 1
[../]
[./right_u]
type = DirichletBC
variable = u
boundary = 3
value = 9
[../]
[./left_v]
type = DirichletBC
variable = v
boundary = 1
value = 5
[../]
[./right_v]
type = DirichletBC
variable = v
boundary = 2
value = 2
[../]
[]
[Postprocessors]
[./x]
type = ScalarVariable
variable = x
execute_on = 'initial timestep_end'
[../]
[./y]
type = ScalarVariable
variable = y
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
dt = 0.01
num_steps = 1
[]
[Outputs]
show = 'x u nodal elemental'
[./out]
type = Exodus
elemental_as_nodal = true
scalar_as_nodal = true
[../]
[]
test/tests/kernels/ode/coupled_ode_td_auxvar_ic_from_mesh.i
[Mesh]
type = FileMesh
file = 'coupled_ode_td_out.e'
[]
[Variables]
[./f]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[./f_times_mult]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[]
[ScalarKernels]
[./dT]
type = CoupledODETimeDerivative
variable = f
v = f_times_mult
[../]
[./src]
type = ParsedODEKernel
variable = f
function = '-1'
[../]
[./f_times_mult_1]
type = ParsedODEKernel
variable = f_times_mult
function = 'f_times_mult'
[../]
[./f_times_mult_2]
type = ParsedODEKernel
variable = f_times_mult
function = '-f * g'
args = 'f g'
[../]
[]
[AuxVariables]
[./g]
family = SCALAR
order = FIRST
initial_from_file_var = g
initial_from_file_timestep = 'LATEST'
[../]
[]
[Functions]
[./function_g]
type = ParsedFunction
value = '(1 + t)'
[../]
[]
[AuxScalarKernels]
[./set_g]
type = FunctionScalarAux
function = function_g
variable = g
execute_on = 'timestep_end'
[../]
[]
[Postprocessors]
[./f]
type = ScalarVariable
variable = f
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Transient
dt = 1
num_steps = 3
nl_abs_tol = 1e-9
[]
[Outputs]
csv = true
[]
test/tests/controls/time_periods/transfers/sub.i
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
[]
[Variables]
[./u]
[../]
[]
[AuxVariables]
[./from_master_app]
order = FIRST
family = SCALAR
[../]
[]
[Kernels]
[./diff]
type = CoefDiffusion
variable = u
coef = 0.01
[../]
[./td]
type = TimeDerivative
variable = u
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = u
boundary = left
value = 0
[../]
[./right]
type = DirichletBC
variable = u
boundary = right
value = 2
[../]
[]
[Postprocessors]
[./from_master]
type = ScalarVariable
variable = from_master_app
[../]
[]
[Executioner]
type = Transient
num_steps = 1
dt = 1
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = true
hide = from_master_app
[]
test/tests/ics/component_ic/component_ic.i
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
[]
[Variables]
[./u]
order = FIRST
family = LAGRANGE
[../]
[./v]
order = SECOND
family = SCALAR
[../]
[]
[AuxVariables]
[./a]
order = SECOND
family = SCALAR
[../]
[]
[ICs]
[./v_ic]
type = ScalarComponentIC
variable = 'v'
values = '1 2'
[../]
[./a_ic]
type = ScalarComponentIC
variable = 'a'
values = '4 5'
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[]
[ScalarKernels]
[./ask]
type = AlphaCED
variable = v
value = 100
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = u
boundary = 3
value = 0
[../]
[./right]
type = DirichletBC
variable = u
boundary = 1
value = 1
[../]
[]
[Postprocessors]
[./v1]
type = ScalarVariable
variable = v
component = 0
execute_on = 'initial timestep_end'
[../]
[./v2]
type = ScalarVariable
variable = v
component = 1
execute_on = 'initial timestep_end'
[../]
[./a1]
type = ScalarVariable
variable = a
component = 0
execute_on = 'initial timestep_end'
[../]
[./a2]
type = ScalarVariable
variable = a
component = 1
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Steady
[]
[Outputs]
[./out]
type = Exodus
execute_scalars_on = none
[../]
[]
test/tests/kernels/ode/parsedode_pp_test.i
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
elem_type = QUAD4
[]
[Variables]
[./x]
family = SCALAR
order = FIRST
initial_condition = 0
[../]
[]
[ScalarKernels]
[./dt]
type = ODETimeDerivative
variable = x
[../]
[./ode1]
type = ParsedODEKernel
function = '-mytime'
postprocessors = mytime
variable = x
[../]
[]
[Postprocessors]
[./computed_x]
type = ScalarVariable
variable = x
execute_on = 'initial timestep_end'
[../]
[./mytime]
type = FunctionValuePostprocessor
function = t
execute_on = 'initial timestep_begin'
[../]
[./exact_x]
type = FunctionValuePostprocessor
function = '0.5*t^2'
execute_on = 'initial timestep_end'
[../]
[./l2err_x]
type = ScalarL2Error
variable = x
function = '0.5*t^2'
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
dt = 0.1
num_steps = 10
solve_type = 'NEWTON'
[]
[Outputs]
file_base = ode_pp_test_out
hide = 'x mytime'
csv = true
[]
test/tests/kernels/ode/parsedode_sys_impl_test.i
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
elem_type = QUAD4
[]
[Functions]
[./f_fn]
type = ParsedFunction
value = -4
[../]
[./bc_all_fn]
type = ParsedFunction
value = x*x+y*y
[../]
# ODEs
[./exact_x_fn]
type = ParsedFunction
value = (-1/3)*exp(-t)+(4/3)*exp(5*t)
[../]
[]
# NL
[Variables]
[./u]
family = LAGRANGE
order = FIRST
[../]
# ODE variables
[./x]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[./y]
family = SCALAR
order = FIRST
initial_condition = 2
[../]
[]
[Kernels]
[./td]
type = TimeDerivative
variable = u
[../]
[./diff]
type = Diffusion
variable = u
[../]
[./uff]
type = BodyForce
variable = u
function = f_fn
[../]
[]
[ScalarKernels]
[./td1]
type = ODETimeDerivative
variable = x
[../]
[./ode1]
type = ParsedODEKernel
function = '-3*x - 2*y'
variable = x
args = y
[../]
[./td2]
type = ODETimeDerivative
variable = y
[../]
[./ode2]
type = ParsedODEKernel
function = '-4*x - y'
variable = y
args = x
[../]
[]
[BCs]
[./all]
type = FunctionDirichletBC
variable = u
boundary = '0 1 2 3'
function = bc_all_fn
[../]
[]
[Postprocessors]
active = 'exact_x l2err_x x y'
[./x]
type = ScalarVariable
variable = x
execute_on = 'initial timestep_end'
[../]
[./y]
type = ScalarVariable
variable = y
execute_on = 'initial timestep_end'
[../]
[./exact_x]
type = FunctionValuePostprocessor
function = exact_x_fn
execute_on = 'initial timestep_end'
point = '0 0 0'
[../]
[./l2err_x]
type = ScalarL2Error
variable = x
function = exact_x_fn
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Transient
start_time = 0
dt = 0.01
num_steps = 100
solve_type = 'PJFNK'
[]
[Outputs]
file_base = ode_sys_impl_test_out
exodus = true
[]
test/tests/kernels/ode/ode_expl_test.i
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 5
ny = 5
elem_type = QUAD4
[]
[Functions]
[./f_fn]
type = ParsedFunction
value = -4
[../]
[./bc_all_fn]
type = ParsedFunction
value = x*x+y*y
[../]
[]
# NL
[Variables]
[./u]
family = LAGRANGE
order = FIRST
[../]
[]
[Kernels]
[./td]
type = TimeDerivative
variable = u
[../]
[./diff]
type = Diffusion
variable = u
[../]
[./uff]
type = BodyForce
variable = u
function = f_fn
[../]
[]
[BCs]
[./all]
type = FunctionDirichletBC
variable = u
boundary = '0 1 2 3'
function = bc_all_fn
[../]
[]
# Aux
[AuxVariables]
[./y]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[]
[AuxScalarKernels]
[./ode1]
type = ExplicitODE
variable = y
[../]
[]
[Postprocessors]
[./y]
type = ScalarVariable
variable = y
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Transient
start_time = 0
dt = 0.1
num_steps = 10
[]
[Outputs]
exodus = true
[]
test/tests/transfers/multiapp_postprocessor_to_scalar/master2.i
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
[]
[Variables]
[./u]
[../]
[]
[AuxVariables]
[./from_sub_app]
order = THIRD
family = SCALAR
[../]
[]
[Kernels]
[./diff]
type = CoefDiffusion
variable = u
coef = 0.01
[../]
[./td]
type = TimeDerivative
variable = u
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = u
boundary = left
value = 0
[../]
[./right]
type = DirichletBC
variable = u
boundary = right
value = 1
[../]
[]
[Postprocessors]
[./average]
type = ElementAverageValue
variable = u
[../]
[./point_value_0]
type = ScalarVariable
variable = from_sub_app
component = 0
[../]
[./point_value_1]
type = ScalarVariable
variable = from_sub_app
component = 1
[../]
[./point_value_2]
type = ScalarVariable
variable = from_sub_app
component = 2
[../]
[]
[Executioner]
type = Transient
num_steps = 5
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = true
hide = from_sub_app
[]
[MultiApps]
[./pp_sub]
app_type = MooseTestApp
positions = '0.5 0.5 0
0.7 0.7 0
0.8 0.8 0'
execute_on = timestep_end
type = TransientMultiApp
input_files = sub2.i
[../]
[]
[Transfers]
[./pp_transfer]
type = MultiAppPostprocessorToAuxScalarTransfer
direction = from_multiapp
multi_app = pp_sub
from_postprocessor = point_value
to_aux_scalar = from_sub_app
[../]
[]
test/tests/outputs/variables/output_vars_hidden_shown_check.i
[Mesh]
type = GeneratedMesh
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[Variables]
[./u]
order = FIRST
family = LAGRANGE
[../]
[./v]
order = SECOND
family = LAGRANGE
[../]
# ODE variables
[./x]
family = SCALAR
order = FIRST
initial_condition = 1
[../]
[./y]
family = SCALAR
order = FIRST
initial_condition = 2
[../]
[]
[AuxVariables]
[./elemental]
order = CONSTANT
family = MONOMIAL
[../]
[./elemental_restricted]
order = CONSTANT
family = MONOMIAL
[../]
[./nodal]
order = FIRST
family = LAGRANGE
[../]
[./nodal_restricted]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./td]
type = TimeDerivative
variable = u
[../]
[./diff_u]
type = Diffusion
variable = u
[../]
[./conv_u]
type = CoupledForce
variable = u
v = v
[../]
[./diff_v]
type = Diffusion
variable = v
[../]
[]
[AuxKernels]
[./elemental]
type = ConstantAux
variable = elemental
value = 1
[../]
[./elemental_restricted]
type = ConstantAux
variable = elemental_restricted
value = 1
[../]
[./nodal]
type = ConstantAux
variable = elemental
value = 2
[../]
[./nodal_restricted]
type = ConstantAux
variable = elemental_restricted
value = 2
[../]
[]
[ScalarKernels]
[./td1]
type = ODETimeDerivative
variable = x
[../]
[./ode1]
type = ImplicitODEx
variable = x
y = y
[../]
[./td2]
type = ODETimeDerivative
variable = y
[../]
[./ode2]
type = ImplicitODEy
variable = y
x = x
[../]
[]
[BCs]
active = 'left_u right_u left_v'
[./left_u]
type = DirichletBC
variable = u
boundary = 1
value = 1
[../]
[./right_u]
type = DirichletBC
variable = u
boundary = 3
value = 9
[../]
[./left_v]
type = DirichletBC
variable = v
boundary = 1
value = 5
[../]
[./right_v]
type = DirichletBC
variable = v
boundary = 2
value = 2
[../]
[]
[Postprocessors]
[./x]
type = ScalarVariable
variable = x
execute_on = timestep_end
[../]
[./y]
type = ScalarVariable
variable = y
execute_on = timestep_end
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
dt = 0.01
num_steps = 10
[]
[Outputs]
file_base = out_hidden
exodus = true
hide = 'u elemental nodal x'
show = u
[]
test/tests/auxkernels/constant_scalar_aux/constant_scalar_aux.i
#
# Testing a solution that is second order in space and first order in time
#
[Mesh]
type = GeneratedMesh
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 10
ny = 10
elem_type = QUAD9
[]
[AuxVariables]
[./x]
family = SCALAR
order = FIRST
[../]
[]
[Variables]
[./u]
order = SECOND
family = LAGRANGE
[./InitialCondition]
type = ConstantIC
value = 0
[../]
[../]
[]
[ICs]
[./ic_x]
type = ScalarConstantIC
variable = x
value = 11
[../]
[]
[Functions]
[./forcing_fn]
type = ParsedFunction
value = ((x*x)+(y*y))-(4*t)
[../]
[./exact_fn]
type = ParsedFunction
value = t*((x*x)+(y*y))
[../]
[]
[AuxScalarKernels]
[./const_x]
type = ConstantScalarAux
variable = x
value = 11
[../]
[]
[Kernels]
[./ie]
type = TimeDerivative
variable = u
[../]
[./diff]
type = Diffusion
variable = u
[../]
[./ffn]
type = BodyForce
variable = u
function = forcing_fn
[../]
[]
[BCs]
[./all]
type = FunctionDirichletBC
variable = u
boundary = '0 1 2 3'
function = exact_fn
[../]
[]
[Postprocessors]
[./l2_err]
type = ElementL2Error
variable = u
function = exact_fn
execute_on = 'initial timestep_end'
[../]
[./x]
type = ScalarVariable
variable = x
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Transient
scheme = 'implicit-euler'
solve_type = 'PJFNK'
start_time = 0.0
num_steps = 5
dt = 0.25
# [./Adaptivity]
# refine_fraction = 0.2
# coarsen_fraction = 0.3
# max_h_level = 4
# [../]
[]
[Outputs]
exodus = true
[]