PolygonConcentricCircleMeshGenerator

This PolygonConcentricCircleMeshGenerator object is designed to mesh a polygon geometry with optional rings centered inside.

Overview

Figure 1: A typical mesh generated by this PolygonConcentricCircleMeshGenerator object.

The PolygonConcentricCircleMeshGenerator object generates a 2D mesh for concentric circles with a regular polygon enclosure with or without external ducts. A typical mesh generated by this object is shown in Figure 1. Polygons with 3 or more sides (e.g. triangle, square, pentagon, hexagon,...) can be meshed using this object. The central concentric circular regions (termed rings) as well as the peripheral polygonal regions (termed ducts) are optional (see Figure 2). The region excluding any rings and ducts is termed the background region.

Geometry Information

The most fundamental geometry parameters that are needed by this object is:

"num_sides": the number of sides of the polygon enclosure;
"polygon_size_style": the style in which the parameter "polygon_size" will be given. This parameter can be either apothem (center to side distance) or radius (center to vertex distance).
"polygon_size": the size of the polygon enclosure in terms of either apothem or radius (selected by another parameter, "polygon_size_style"

Figure 2: A schematic drawing showing the different regions that can be generated by this PolygonConcentricCircleMeshGenerator object.

If concentric circle regions are needed, "ring_radii" must be provided to define the outer radius of each ring. If duct regions are needed, "duct_sizes" must be provided to define the inner boundary of each duct. Similar to "polygon_size", "duct_sizes" can either be apothems or radii of the corresponding ducts, decided by "duct_sizes_style".

Mesh Information

The parameters that are needed for meshing can be categorized into azimuthal and radial information, which determine the mesh density.

The azimuthal mesh discretization is controlled by "num_sectors_per_side", which is a vector that has the same length as "num_sides". Each element of "num_sectors_per_side" must be an even integer, which is the number of azimuthal intervals of the corresponding side. The sides are indexed counterclockwise with the upper-right polygon side being the first side as shown in Figure 2.

The radial mesh discretization is controlled by separate parameters for rings, background and ducts regions, which are "ring_intervals", "background_intervals", and "duct_intervals", respectively.

In addition, the radial meshing density of each rings, background and ducts region can be biased by setting corresponding parameters, which are "ring_radial_biases", "background_radial_bias", and "duct_radial_biases", respectively. The bias value should be a positive Real type parameter, which is the radial dimension ratio between two radially-neighboring elements (outer to inner).

Boundary Layers

Aside from the general mesh radial biasing options described above, users can also define boundary layers on each ring, background, and duct regions. For each region, both inner and outer boundary layers are supported (in this case, inner boundary layer refers to a boundary layer on the volume closer to the center of the polygon, and outer boundary layer refers to a boundary layer on the volume further from the center of the polygon; these two volumes are separated by the boundary itself). Each boundary layer requires three key input parameters:

boundary layer width: the radial width of the boundary layer within the region. Note that the summation of the inner and outer boundary layers widths must be smaller than the width of the block layer itself. The specific input parameters are "ring_inner_boundary_layer_widths", "ring_outer_boundary_layer_widths", "background_inner_boundary_layer_width", "background_outer_boundary_layer_width", "duct_inner_boundary_layer_widths", and "duct_outer_boundary_layer_widths".
boundary layer intervals: the number of radial mesh intervals within the boundary layer. The specific parameters are "ring_inner_boundary_layer_intervals", "ring_outer_boundary_layer_intervals", "background_inner_boundary_layer_intervals", "background_outer_boundary_layer_intervals", "duct_inner_boundary_layer_intervals", and "duct_outer_boundary_layer_intervals".
boundary layer bias: the growth factor used for radial mesh biasing for the boundary layer. The specific parameters are "ring_inner_boundary_layer_biases", "ring_outer_boundary_layer_biases", "background_inner_boundary_layer_bias", "background_outer_boundary_layer_bias", "duct_inner_boundary_layer_biases", and "duct_outer_boundary_layer_biases". A bias greater than 1 means the element size increases with increasing radial coordinate, while a bias less than 1 means the element size decreases with increasing radial coordinate. A bias of 1 indicates uniformly spaced elements with increasing radial coordinate.

If there are multiple ring/duct regions in the generated mesh, the boundary layer related parameters of all these regions must be provided together as vectors.

MeshMeshData Generation

When "num_sides" is set as 6, the hexagonal meshes produced by PolygonConcentricCircleMeshGenerator can be used by PatternedHexMeshGenerator to create patterned meshes. This functionality relies on a series of MeshMetaData generated by PolygonConcentricCircleMeshGenerator, including:

pitch_meta, type Real: Provides the side-to-side distance of the hexagon generated.
pattern_pitch_meta, type Real: Similar to pitch_meta. This is only used when the mesh produced here is stitched with assembly hexagon meshes generated by PatternedHexMeshGenerator.
background_intervals_meta, type unsigned int: Makes the value of the input parameter "background_intervals" available to other mesh generators.
node_id_background_meta, type dof_id_type: Records the maximum node id of the background nodes to provide a reference for node modifications.
max_radius_meta, type Real: Provides the maximum radius of the ring regions so that PatternedHexMeshGenerator does not compromise the circular geometry.
num_sectors_per_side_meta, type std::vector<unsigned int>: Makes the value of the input parameter "num_sectors_per_side" available to other mesh generators.
azimuthal_angle_meta, type std::vector<Real>: Contains the sorted azimuthal angles of all the nodes on the external boundary.

Other Information

By default, the mesh generated by this object contains a mixture of QUAD4 and TRI3 elements. To be specific, the central region of the mesh consists of triangular elements, whereas the rest of the mesh consists of quadrilateral elements. The users also have an option to generate a purely QUAD4 mesh by setting quad_center_elements as true (see Figure 3). In that case, the $var element = document.getElementById("moose-equation-b50d7333-a9ab-4e10-a206-503a660debba");katex.render("\\frac{N}{N+1}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ factor shown in Figure 3 can also be customized using "center_quad_factor".

Figure 3: A schematic drawing showing the different meshing algorithms when "quad_center_elements" is set as false and true.

When rings regions are present, the radii of these rings can be auto-adjusted to preserve the meshed annular area (volume) to the true area (volume) by setting "preserve_volumes" as true.

By default, the azimuthal angles used to discretize the mesh are uniformly spaced in _angle_ on each sector of the polygon. However, uniform spacing of angles leads to non-uniform mesh intervals on the polygon external sides (unless exactly 2 sectors per side are used). However, as a uniformly spaced mesh on the polygon external boundary may facilitate mesh stitching, the user may force a uniform mesh on the polygon external boundary by setting "uniform_mesh_on_sides" as true.

The default block id numbering starts with 0 at the center region and increments by 1 for each mesh region radially outward. The user may instead set specific block id and name values to rings, background, and duct regions through the use of "ring_block_ids", "background_block_ids", "duct_block_ids", "ring_block_names", "background_block_names", and "duct_block_names".

The user should be aware that in two cases, the central geometric region is defined as two blocks instead of one: - When rings are not present, and "background_intervals" > 1 - When rings are present, and the first entry of "ring_radii" > 1

In both of these cases, the central geometric region will contain both blocks 0 and 1 by default. Any additional usage of block ids or name arrays will require an extra entry for the first geometric region. This extra block definition is needed to accommodate flexibility in defining the central region as either quadrilateral or triangular elements while still stitching properly to the neighboring region.

The external boundary has a default boundary id of 10000. The user may instead set specific boundary id and/or name values through the use of external_boundary_id and external_boundary_name.

Example Syntax

[hex_1]
  type = PolygonConcentricCircleMeshGenerator
  num_sides = 6
  num_sectors_per_side = '4 4 4 4 4 4'
  background_intervals = 2
  ring_radii = 4.0
  ring_intervals = 2
  ring_block_ids = '10 15'
  ring_block_names = 'center_tri center'
  background_block_ids = 20
  background_block_names = background
  polygon_size = 5.0
  preserve_volumes = on
[]

Input Parameters

polygon_sizeSize of the polygon to be generated (given as either apothem or radius depending on polygon_size_style).
C++ Type:double
Controllable:No
Description:Size of the polygon to be generated (given as either apothem or radius depending on polygon_size_style).

Required Parameters

center_quad_factorA fractional radius factor used to determine the radial positions of transition nodes in the center region meshed by quad elements.
C++ Type:double
Controllable:No
Description:A fractional radius factor used to determine the radial positions of transition nodes in the center region meshed by quad elements.
duct_sizesDistance(s) from polygon center to duct(s) inner boundaries.
C++ Type:std::vector<double>
Controllable:No
Description:Distance(s) from polygon center to duct(s) inner boundaries.
duct_sizes_styleradiusStyle in which polygon center to duct inner boundary distance is given (apothem = center to face, radius = center to vertex). Options: apothem radius
Default:radius
C++ Type:MooseEnum
Options:apothem, radius
Controllable:No
Description:Style in which polygon center to duct inner boundary distance is given (apothem = center to face, radius = center to vertex). Options: apothem radius
flat_side_upFalseWhether to rotate the generated polygon mesh to ensure that one flat side faces up.
Default:False
C++ Type:bool
Controllable:No
Description:Whether to rotate the generated polygon mesh to ensure that one flat side faces up.
num_sides6Number of sides of the polygon.
Default:6
C++ Type:unsigned int
Controllable:No
Description:Number of sides of the polygon.
polygon_size_styleapothemStyle in which polygon size is given (default: apothem).
Default:apothem
C++ Type:MooseEnum
Options:apothem, radius
Controllable:No
Description:Style in which polygon size is given (default: apothem).
preserve_volumesTrueVolume of concentric circles can be preserved using this function.
Default:True
C++ Type:bool
Controllable:No
Description:Volume of concentric circles can be preserved using this function.
quad_center_elementsFalseWhether the center elements are quad or triangular.
Default:False
C++ Type:bool
Controllable:No
Description:Whether the center elements are quad or triangular.
ring_radiiRadii of major concentric circles (rings).
C++ Type:std::vector<double>
Controllable:No
Description:Radii of major concentric circles (rings).
show_infoFalseWhether or not to show mesh info after generating the mesh (bounding box, element types, sidesets, nodesets, subdomains, etc)
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not to show mesh info after generating the mesh (bounding box, element types, sidesets, nodesets, subdomains, etc)
smoothing_max_it0Number of Laplacian smoothing iterations. This number is disregarded when duct_sizes is present.
Default:0
C++ Type:unsigned int
Controllable:No
Description:Number of Laplacian smoothing iterations. This number is disregarded when duct_sizes is present.

Optional Parameters

background_block_idsOptional customized block id for the background block.
C++ Type:std::vector<unsigned short>
Controllable:No
Description:Optional customized block id for the background block.
background_block_namesOptional customized block names for the background block.
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:Optional customized block names for the background block.
block_id_shift0Integer used to shift block IDs.
Default:0
C++ Type:unsigned short
Controllable:No
Description:Integer used to shift block IDs.
duct_block_idsOptional customized block ids for each duct geometry block.
C++ Type:std::vector<unsigned short>
Controllable:No
Description:Optional customized block ids for each duct geometry block.
duct_block_namesOptional customized block names for each duct geometry block.
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:Optional customized block names for each duct geometry block.
external_boundary_idOptional customized external boundary id.
C++ Type:short
Controllable:No
Description:Optional customized external boundary id.
external_boundary_nameOptional customized external boundary name.
C++ Type:std::string
Controllable:No
Description:Optional customized external boundary name.
interface_boundary_id_shift0Integer used to shift interface boundary IDs.
Default:0
C++ Type:short
Controllable:No
Description:Integer used to shift interface boundary IDs.
interface_boundary_namesOptional customized boundary names for the internal interfaces between block.
C++ Type:std::vector<std::string>
Controllable:No
Description:Optional customized boundary names for the internal interfaces between block.
ring_block_idsOptional customized block ids for each ring geometry block.
C++ Type:std::vector<unsigned short>
Controllable:No
Description:Optional customized block ids for each ring geometry block.
ring_block_namesOptional customized block names for each ring geometry block.
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:Optional customized block names for each ring geometry block.

Customized Subdomain/Boundary Parameters

background_inner_boundary_layer_bias1Growth factor used for mesh biasing of the background inner boundary layer.
Default:1
C++ Type:double
Controllable:No
Description:Growth factor used for mesh biasing of the background inner boundary layer.
background_inner_boundary_layer_intervals1Number of radial intervals of the background inner boundary layer
Default:1
C++ Type:unsigned int
Controllable:No
Description:Number of radial intervals of the background inner boundary layer
background_inner_boundary_layer_width0Width of background region that is assigned to be the inner boundary layer.
Default:0
C++ Type:double
Controllable:No
Description:Width of background region that is assigned to be the inner boundary layer.
background_outer_boundary_layer_bias1Growth factor used for mesh biasing of the background outer boundary layer.
Default:1
C++ Type:double
Controllable:No
Description:Growth factor used for mesh biasing of the background outer boundary layer.
background_outer_boundary_layer_intervals1Number of radial intervals of the background outer boundary layer
Default:1
C++ Type:unsigned int
Controllable:No
Description:Number of radial intervals of the background outer boundary layer
background_outer_boundary_layer_width0Width of background region that is assigned to be the outer boundary layer.
Default:0
C++ Type:double
Controllable:No
Description:Width of background region that is assigned to be the outer boundary layer.
background_radial_bias1Value used to create biasing in radial meshing for background region.
Default:1
C++ Type:double
Controllable:No
Description:Value used to create biasing in radial meshing for background region.
duct_inner_boundary_layer_biasesGrowth factors used for mesh biasing of the duct inner boundary layers.
C++ Type:std::vector<double>
Controllable:No
Description:Growth factors used for mesh biasing of the duct inner boundary layers.
duct_inner_boundary_layer_intervalsNumber of radial intervals of the duct inner boundary layers
C++ Type:std::vector<unsigned int>
Controllable:No
Description:Number of radial intervals of the duct inner boundary layers
duct_inner_boundary_layer_widthsWidths of duct regions that are assigned to be the inner boundary layers.
C++ Type:std::vector<double>
Controllable:No
Description:Widths of duct regions that are assigned to be the inner boundary layers.
duct_outer_boundary_layer_biasesGrowth factors used for mesh biasing of the duct outer boundary layers.
C++ Type:std::vector<double>
Controllable:No
Description:Growth factors used for mesh biasing of the duct outer boundary layers.
duct_outer_boundary_layer_intervalsNumber of radial intervals of the duct outer boundary layers
C++ Type:std::vector<unsigned int>
Controllable:No
Description:Number of radial intervals of the duct outer boundary layers
duct_outer_boundary_layer_widthsWidths of duct regions that are assigned to be the outer boundary layers.
C++ Type:std::vector<double>
Controllable:No
Description:Widths of duct regions that are assigned to be the outer boundary layers.
duct_radial_biasesValues used to create biasing in radial meshing for duct regions.
C++ Type:std::vector<double>
Controllable:No
Description:Values used to create biasing in radial meshing for duct regions.
ring_inner_boundary_layer_biasesGrowth factors used for mesh biasing of the rings' inner boundary layers.
C++ Type:std::vector<double>
Controllable:No
Description:Growth factors used for mesh biasing of the rings' inner boundary layers.
ring_inner_boundary_layer_intervalsNumber of radial intervals of the rings' inner boundary layers
C++ Type:std::vector<unsigned int>
Controllable:No
Description:Number of radial intervals of the rings' inner boundary layers
ring_inner_boundary_layer_widthsWidths of each ring regions that are assigned to be each ring's inner boundary layers.
C++ Type:std::vector<double>
Controllable:No
Description:Widths of each ring regions that are assigned to be each ring's inner boundary layers.
ring_outer_boundary_layer_biasesGrowth factors used for mesh biasing of the rings' outer boundary layers.
C++ Type:std::vector<double>
Controllable:No
Description:Growth factors used for mesh biasing of the rings' outer boundary layers.
ring_outer_boundary_layer_intervalsNumber of radial intervals of the rings' outer boundary layers
C++ Type:std::vector<unsigned int>
Controllable:No
Description:Number of radial intervals of the rings' outer boundary layers
ring_outer_boundary_layer_widthsWidths of each ring regions that are assigned to be each ring's outer boundary layers.
C++ Type:std::vector<double>
Controllable:No
Description:Widths of each ring regions that are assigned to be each ring's outer boundary layers.
ring_radial_biasesValues used to create biasing in radial meshing for ring regions.
C++ Type:std::vector<double>
Controllable:No
Description:Values used to create biasing in radial meshing for ring regions.

Mesh Boundary Layers And Biasing Options Parameters

background_intervals1Number of radial meshing intervals in background region (area between rings and ducts) excluding the background's boundary layers.
Default:1
C++ Type:unsigned int
Controllable:No
Description:Number of radial meshing intervals in background region (area between rings and ducts) excluding the background's boundary layers.
duct_intervalsNumber of meshing intervals in each enclosing duct excluding duct boundary layers.
C++ Type:std::vector<unsigned int>
Controllable:No
Description:Number of meshing intervals in each enclosing duct excluding duct boundary layers.
num_sectors_per_sideNumber of azimuthal sectors per polygon side (rotating counterclockwise from top right face).
C++ Type:std::vector<unsigned int>
Controllable:No
Description:Number of azimuthal sectors per polygon side (rotating counterclockwise from top right face).
ring_intervalsNumber of radial mesh intervals within each major concentric circle excluding their boundary layers.
C++ Type:std::vector<unsigned int>
Controllable:No
Description:Number of radial mesh intervals within each major concentric circle excluding their boundary layers.
uniform_mesh_on_sidesFalseWhether the side elements are reorganized to have a uniform size.
Default:False
C++ Type:bool
Controllable:No
Description:Whether the side elements are reorganized to have a uniform size.

General Mesh Density 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

(modules/reactor/test/tests/meshgenerators/tri_pin_hex_assemby_generator/dummy_core.i)
(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_2d_err.i)
(modules/reactor/test/tests/meshgenerators/polygon_concentric_circle_mesh_generator/poly_2d.i)
(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern.i)
(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_2d.i)
(modules/reactor/test/tests/functions/multi_control_drum_function/multi_cd_noid.i)
(modules/reactor/test/tests/meshgenerators/azimuthal_block_split_generator/non_replicated.i)
(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern_err2.i)
(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern_cd.i)
(modules/reactor/test/tests/meshgenerators/patterned_hex_peripheral_modifier/single_hex.i)
(modules/reactor/test/tests/meshgenerators/reporting_id/hexagonal_id/core_reporting_id.i)
(modules/reactor/test/tests/meshgenerators/patterned_hex_peripheral_modifier/single_hex_pin_id.i)
(modules/reactor/test/tests/meshgenerators/azimuthal_block_split_generator/azi_block_id_mod.i)
(modules/reactor/test/tests/functions/multi_control_drum_function/multi_cd.i)
(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_2d_block_name_conflict.i)
(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern_err.i)
(modules/reactor/test/tests/meshgenerators/patterned_hex_peripheral_modifier/patterned.i)
(modules/reactor/test/tests/meshgenerators/reporting_id/hexagonal_id/assembly_reporting_id.i)

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern.i)

[Mesh]
  [hex_1]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '4 4 4 4 4 4'
    background_intervals = 2
    ring_radii = 4.0
    ring_intervals = 2
    ring_block_ids = '10 15'
    ring_block_names = 'center_tri center'
    background_block_ids = 20
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = on
  []
  [pattern_1]
    type = PatternedHexMeshGenerator
    inputs = 'hex_1'
    pattern = '0 0;
              0 0 0;
               0 0'
    hexagon_size = 15
    background_block_id = 80
    background_block_name = hex_background
  []
  [pattern_2]
    type = PatternedHexMeshGenerator
    inputs = 'pattern_1'
    pattern_boundary = none
    generate_core_metadata = true
    pattern = '0 0 0;
              0 0 0 0;
             0 0 0 0 0;
              0 0 0 0;
               0 0 0'
  []
[]

(modules/reactor/test/tests/meshgenerators/tri_pin_hex_assemby_generator/dummy_core.i)

[Mesh]
  [pin_1]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '2 2 2 2 2 2'
    background_intervals = 1
    ring_radii = 2.0
    ring_intervals = 1
    ring_block_ids = '50'
    ring_block_names = center_1
    background_block_ids = 40
    background_block_names = background_1
    polygon_size = 3.0
    preserve_volumes = on
    quad_center_elements = true
  []
  [assm1]
    type = HexIDPatternedMeshGenerator
    inputs = 'pin_1'
    id_name ='test_id1'
    hexagon_size = 20
    assign_type = pattern
    uniform_mesh_on_sides = true
    background_intervals = 1
    background_block_id = 40
    background_block_name = background_1
    pattern = '0 0 0 0;
              0 0 0 0 0;
             0 0 0 0 0 0;
            0 0 0 0 0 0 0;
             0 0 0 0 0 0;
              0 0 0 0 0;
               0 0 0 0'
  []
  [assm_up]
    type = TriPinHexAssemblyGenerator
    ring_radii = '7 8;7 8;7 8'
    ring_intervals = '1 1;1 1;1 1'
    ring_block_ids = '200 400;200 400;200 400'
    background_block_ids = '40'
    num_sectors_per_side = 14
    background_intervals = 2
    hexagon_size = ${fparse 40.0/sqrt(3.0)}
    ring_offset = 0.6
    azimuthal_interval_style = equal_length
    assembly_orientation = pin_up
  []
  [pattern]
    type = HexIDPatternedMeshGenerator
    inputs = 'assm1 assm_up'
    id_name ='test_id2'
    pattern = '0 0;
              1 1 1;
               0 0'
    pattern_boundary = none
    generate_core_metadata = true
  []
[]

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_2d_err.i)

[Mesh]
  [hex_1]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '4 4 4 4 4 4'
    background_intervals = 2
    ring_radii = 4.0
    ring_intervals = 2
    ring_block_ids = '10 15'
    ring_block_names = 'center_tri center'
    background_block_ids = 20
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = on
  []
  [hex_2]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '4 4 4 4 4 4'
    background_intervals = 2
    ring_radii = 3.0
    ring_intervals = 2
    ring_block_ids = '20 25'
    ring_block_names = 'center_tri center'
    background_block_ids = 40
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = on
  []
  [pattern_1]
    type = PatternedHexMeshGenerator
    inputs = 'hex_1 hex_2'
    pattern_boundary = none
    generate_core_metadata = true
    pattern = '0 0;
              0 0 0;
               0 0'

  []
[]

(modules/reactor/test/tests/meshgenerators/polygon_concentric_circle_mesh_generator/poly_2d.i)

[Mesh]
  [gen]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 5
    num_sectors_per_side = '4 4 4 4 4'
    background_intervals = 2
    polygon_size = 5.0

    preserve_volumes = on
    external_boundary_id = 9999
    external_boundary_name = 'polygon_out'
  []
[]

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern.i)

[Mesh]
  [hex_1]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '4 4 4 4 4 4'
    background_intervals = 2
    ring_radii = 4.0
    ring_intervals = 2
    ring_block_ids = '10 15'
    ring_block_names = 'center_tri center'
    background_block_ids = 20
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = on
  []
  [pattern_1]
    type = PatternedHexMeshGenerator
    inputs = 'hex_1'
    pattern = '0 0;
              0 0 0;
               0 0'
    hexagon_size = 15
    background_block_id = 80
    background_block_name = hex_background
  []
  [pattern_2]
    type = PatternedHexMeshGenerator
    inputs = 'pattern_1'
    pattern_boundary = none
    generate_core_metadata = true
    pattern = '0 0 0;
              0 0 0 0;
             0 0 0 0 0;
              0 0 0 0;
               0 0 0'
  []
[]

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_2d.i)

[Mesh]
  [hex_1]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '4 4 4 4 4 4'
    background_intervals = 2
    ring_radii = 4.0
    ring_intervals = 2
    ring_block_ids = '10 15'
    ring_block_names = 'center_tri center'
    background_block_ids = 20
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = on
  []
  [pattern]
    type = PatternedHexMeshGenerator
    inputs = 'hex_1'
    pattern = '0 0;
              0 0 0;
               0 0'
  []
[]

(modules/reactor/test/tests/functions/multi_control_drum_function/multi_cd_noid.i)

[Problem]
  solve = false
[]

[Mesh]
  [hex_unit]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6 # must be six to use hex pattern
    num_sectors_per_side= '2 2 2 2 2 2'
    background_intervals=1
    polygon_size = 1

    ring_radii = '0.9'
    ring_intervals = '1'
  []
  [patterned]
    type = PatternedHexMeshGenerator
    inputs = 'hex_unit'
    pattern_boundary = hexagon
    background_intervals = 1
    hexagon_size = 3.5

    pattern = '0 0;
              0 0 0;
               0 0'
  []
  [cd_1]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    inputs = 'patterned'
    sides_to_adapt = '4'

    num_sectors_per_side= '2 2 2 2 2 2'
    hexagon_size = 3.5
    background_intervals= 1

    ring_radii = '2 3'
    ring_intervals = '1 1'

    block_id_shift = 5000
    is_control_drum = true
  []
  [cd_2]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    inputs = 'patterned'
    sides_to_adapt = '5'

    num_sectors_per_side= '2 2 2 2 2 2'
    hexagon_size = 3.5
    background_intervals= 1

    ring_radii = '2 3'
    ring_intervals = '1 1'

    block_id_shift = 5000
    is_control_drum = true
  []
  [cd_3]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    inputs = 'patterned'
    sides_to_adapt = '0'

    num_sectors_per_side= '2 2 2 2 2 2'
    hexagon_size = 3.5
    background_intervals= 1

    ring_radii = '2 3'
    ring_intervals = '1 1'

    block_id_shift = 5000
    is_control_drum = true
  []
  [cd_4]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    inputs = 'patterned'
    sides_to_adapt = '1'

    num_sectors_per_side= '2 2 2 2 2 2'
    hexagon_size = 3.5
    background_intervals= 1

    ring_radii = '2 3'
    ring_intervals = '1 1'

    block_id_shift = 5000
    is_control_drum = true
  []
  [cd_5]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    inputs = 'patterned'
    sides_to_adapt = '2'

    num_sectors_per_side= '2 2 2 2 2 2'
    hexagon_size = 3.5
    background_intervals= 1

    ring_radii = '2 3'
    ring_intervals = '1 1'

    block_id_shift = 5000
    is_control_drum = true
  []
  [cd_6]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    inputs = 'patterned'
    sides_to_adapt = '3'

    num_sectors_per_side= '2 2 2 2 2 2'
    hexagon_size = 3.5
    background_intervals= 1

    ring_radii = '2 3'
    ring_intervals = '1 1'

    block_id_shift = 5000
    is_control_drum = true
  []
  [core]
    type = PatternedHexMeshGenerator
    inputs = 'patterned cd_1 cd_2 cd_3 cd_4 cd_5 cd_6'
    #             0       1    2    3    4    5    6
    pattern_boundary = none
    generate_core_metadata = true
    generate_control_drum_positions_file = true
    pattern = '1 6;
              2 0 5;
               3 4'
  []
[]

[AuxVariables]
  [cd_param]
    family = MONOMIAL
    order = CONSTANT
    block = 5002
  []
  [cd_id]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [cd_param_assign]
    type = FunctionAux
    variable = cd_param
    function = cd_param_func
    execute_on = 'initial linear timestep_end'
  []
  [set_cd_id]
    type = ExtraElementIDAux
    variable = cd_id
    extra_id_name = control_drum_id
    execute_on = 'initial timestep_end'
  []
[]

[Functions]
  [cd_param_func]
    type = MultiControlDrumFunction
    mesh_generator = core
    use_control_drum_id = false
    angular_speeds = '5 10 15 20 25 30'
    start_angles = '0 0 0 0 0 0'
    angle_ranges = '90 90 90 90 90 90'
  []
[]

[Executioner]
  type = Transient
  dt = 1
  num_steps = 5
[]

[Outputs]
  [nocdid]
    type = Exodus
  []
[]

(modules/reactor/test/tests/meshgenerators/azimuthal_block_split_generator/non_replicated.i)

[Mesh]
  [cd]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '4 4 4 8 4 4'
    background_intervals = 1
    ring_radii = '4.2 4.8'
    ring_intervals = '2 1'
    ring_block_ids = '10 15 20'
    ring_block_names = 'center_tri center cd_ring'
    background_block_ids = 30
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = true
  []
  [./cd_azi_define]
    type = AzimuthalBlockSplitGenerator
    input = cd
    start_angle = 280
    angle_range = 100
    old_blocks = '10 15 20'
    new_block_ids = '100 150 200'
    new_block_names = 'center_tri_new center_new cd_ring_new'
    preserve_volumes = true
  []
[]

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern_err2.i)

[Mesh]
  [hex_1]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '4 4 4 4 4 4'
    background_intervals = 2
    ring_radii = 4.0
    ring_intervals = 2
    ring_block_ids = '10 15'
    ring_block_names = 'center_tri center'
    background_block_ids = 20
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = on
  []
  [pattern_1]
    type = PatternedHexMeshGenerator
    inputs = 'hex_1'
    pattern = '0 0;
              0 0 0;
               0 0'
    hexagon_size = 15
    background_block_id = 80
    background_block_name = hex_background
  []
  [pattern_2]
    type = PatternedHexMeshGenerator
    inputs = 'hex_1'
    pattern = '0 0;
              0 0 0;
               0 0'
    hexagon_size = 16
    background_block_id = 80
    background_block_name = hex_background
  []
  [pattern_3]
    type = PatternedHexMeshGenerator
    inputs = 'pattern_1 pattern_2'
    pattern_boundary = none
    generate_core_metadata = true
    pattern = '0 0;
              0 1 0;
               0 0'
  []
[]

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern_cd.i)

[Mesh]
  [hex_1]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '4 4 4 4 4 4'
    background_intervals = 2
    ring_radii = 4.0
    ring_intervals = 2
    ring_block_ids = '10 15'
    ring_block_names = 'center_tri center'
    background_block_ids = 20
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = on
  []
  [pattern_1]
    type = PatternedHexMeshGenerator
    inputs = 'hex_1'
    pattern = '0 0 0;
              0 0 0 0;
             0 0 0 0 0;
              0 0 0 0;
               0 0 0'
    hexagon_size = 25
    background_block_id = 80
    background_block_name = hex_background
  []
  [cd_1]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    num_sectors_per_side = '4 4 4 4 4 4'
    background_intervals = 2
    hexagon_size = 25
    sides_to_adapt = '0 1 5'
    inputs = 'pattern_1 pattern_1 pattern_1'
    is_control_drum = true
  []
  [pattern_2]
    type = PatternedHexMeshGenerator
    inputs = 'pattern_1 cd_1'
    pattern_boundary = none
    generate_core_metadata = true
    pattern = '0 0 ;
              0 0 0;
               1 0'
    generate_control_drum_positions_file = true
    assign_control_drum_id = true
  []
[]

(modules/reactor/test/tests/meshgenerators/patterned_hex_peripheral_modifier/single_hex.i)

[Mesh]
  [hex]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '2 2 2 2 2 2'
    background_intervals = 1
    ring_radii = 4.0
    ring_intervals = 2
    ring_block_ids = '10 15'
    ring_block_names = 'center_tri center'
    background_block_ids = 20
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = on
  []
  [pattern]
    type = PatternedHexMeshGenerator
    inputs = 'hex'
    pattern = '0 0;
              0 0 0;
               0 0'
    background_intervals = 2
    hexagon_size = 17
    #duct_sizes = '15 15.5'
    #duct_intervals = '1 2'
  []
  [pmg]
    type = PatternedHexPeripheralModifier
    input = pattern
    input_mesh_external_boundary = 10000
    new_num_sector = 10
    num_layers = 2
  []
[]

(modules/reactor/test/tests/meshgenerators/reporting_id/hexagonal_id/core_reporting_id.i)

[Mesh]
  [pin1]
    type = PolygonConcentricCircleMeshGenerator
    preserve_volumes = true
    ring_radii = 0.4
    ring_intervals = 1
    background_intervals = 1
    num_sides = 6
    num_sectors_per_side = '2 2 2 2 2 2'
    polygon_size = 0.5
  []
  [pin2]
    type = PolygonConcentricCircleMeshGenerator
    preserve_volumes = true
    ring_radii = 0.4
    ring_intervals = 1
    background_intervals = 1
    num_sides = 6
    num_sectors_per_side = '2 2 2 2 2 2'
    polygon_size = 0.5
  []
  [assembly1]
    type = HexIDPatternedMeshGenerator
    inputs = 'pin1 pin2'
    pattern_boundary = hexagon
    pattern = '  1 0 1;
                0 0 0 0;
               1 0 1 0 1;
                0 0 0 0;
                 1 0 1'
    hexagon_size = 2.6
    duct_sizes = '2.4 2.5'
    duct_intervals = '1 1'
    id_name = 'pin_id'
    assign_type = 'cell'
  []
  [assembly2]
    type = HexIDPatternedMeshGenerator
    inputs = 'pin1 pin2'
    pattern_boundary = hexagon
    pattern = '  0 0 0;
                0 1 1 0;
               0 1 0 1 0;
                0 1 1 0;
                 0 0 0'
    hexagon_size = 2.6
    duct_sizes = '2.4 2.5'
    duct_intervals = '1 1'
    id_name = 'pin_id'
    assign_type = 'cell'
  []
  [core]
    type = HexIDPatternedMeshGenerator
    inputs = 'assembly1 assembly2'
    pattern_boundary = none
    pattern = '1 1;
              1 0 1;
               1 1'
    generate_core_metadata = true
    id_name = 'assembly_id'
    assign_type = 'cell'
  []
[]

[Executioner]
  type = Steady
[]

[Problem]
  solve = false
[]

[AuxVariables]
  [pin_id]
    family = MONOMIAL
    order = CONSTANT
  []
  [assembly_id]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [set_pin_id]
    type = ExtraElementIDAux
    variable = pin_id
    extra_id_name = pin_id
  []
  [set_assembly_id]
    type = ExtraElementIDAux
    variable = assembly_id
    extra_id_name = assembly_id
  []
[]

[Outputs]
  exodus = true
  execute_on = timestep_end
[]

(modules/reactor/test/tests/meshgenerators/patterned_hex_peripheral_modifier/single_hex_pin_id.i)

[Mesh]
  [hex]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '2 2 2 2 2 2'
    background_intervals = 1
    ring_radii = 4.0
    ring_intervals = 2
    ring_block_ids = '10 15'
    ring_block_names = 'center_tri center'
    background_block_ids = 20
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = on
  []
  [pattern]
    type = HexIDPatternedMeshGenerator
    inputs = 'hex'
    pattern = '0 0;
              0 0 0;
               0 0'
    background_intervals = 2
    hexagon_size = 17
    assign_type = 'cell'
    id_name = 'pin_id'
  []
  [pmg]
    type = PatternedHexPeripheralModifier
    input = pattern
    input_mesh_external_boundary = 10000
    new_num_sector = 10
    num_layers = 2
  []
[]

[Executioner]
  type = Steady
[]

[Problem]
  solve = false
[]

[AuxVariables]
  [pin_id]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [set_pin_id]
    type = ExtraElementIDAux
    variable = pin_id
    extra_id_name = pin_id
  []
[]

[Outputs]
  [exodus_1]
    type = Exodus
    enable = false
    execute_on = TIMESTEP_END
  []
  [exodus_2]
    type = Exodus
    enable = false
    execute_on = TIMESTEP_END
  []
[]

(modules/reactor/test/tests/meshgenerators/azimuthal_block_split_generator/azi_block_id_mod.i)

[Mesh]
  [cd]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '4 4 4 8 4 4'
    background_intervals = 1
    ring_radii = '4.2 4.8'
    ring_intervals = '2 1'
    ring_block_ids = '10 15 20'
    ring_block_names = 'center_tri center cd_ring'
    background_block_ids = 30
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = true
  []
  [./cd_azi_define]
    type = AzimuthalBlockSplitGenerator
    input = cd
    start_angle = 280
    angle_range = 100
    old_blocks = '10 15 20'
    new_block_ids = '100 150 200'
    new_block_names = 'center_tri_new center_new cd_ring_new'
    preserve_volumes = true
  []
[]

(modules/reactor/test/tests/functions/multi_control_drum_function/multi_cd.i)

[Problem]
  solve = false
[]

[Mesh]
  [hex_unit]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6 # must be six to use hex pattern
    num_sectors_per_side= '2 2 2 2 2 2'
    background_intervals=1
    polygon_size = 1

    ring_radii = '0.9'
    ring_intervals = '1'
  []
  [patterned]
    type = PatternedHexMeshGenerator
    inputs = 'hex_unit'
    pattern_boundary = hexagon
    background_intervals = 1
    hexagon_size = 3.5

    pattern = '0 0;
              0 0 0;
               0 0'
  []
  [cd_1]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    inputs = 'patterned'
    sides_to_adapt = '4'

    num_sectors_per_side= '2 2 2 2 2 2'
    hexagon_size = 3.5
    background_intervals= 1

    ring_radii = '2 3'
    ring_intervals = '1 1'

    block_id_shift = 5000
    is_control_drum = true
  []
  [cd_2]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    inputs = 'patterned'
    sides_to_adapt = '5'

    num_sectors_per_side= '2 2 2 2 2 2'
    hexagon_size = 3.5
    background_intervals= 1

    ring_radii = '2 3'
    ring_intervals = '1 1'

    block_id_shift = 5000
    is_control_drum = true
  []
  [cd_3]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    inputs = 'patterned'
    sides_to_adapt = '0'

    num_sectors_per_side= '2 2 2 2 2 2'
    hexagon_size = 3.5
    background_intervals= 1

    ring_radii = '2 3'
    ring_intervals = '1 1'

    block_id_shift = 5000
    is_control_drum = true
  []
  [cd_4]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    inputs = 'patterned'
    sides_to_adapt = '1'

    num_sectors_per_side= '2 2 2 2 2 2'
    hexagon_size = 3.5
    background_intervals= 1

    ring_radii = '2 3'
    ring_intervals = '1 1'

    block_id_shift = 5000
    is_control_drum = true
  []
  [cd_5]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    inputs = 'patterned'
    sides_to_adapt = '2'

    num_sectors_per_side= '2 2 2 2 2 2'
    hexagon_size = 3.5
    background_intervals= 1

    ring_radii = '2 3'
    ring_intervals = '1 1'

    block_id_shift = 5000
    is_control_drum = true
  []
  [cd_6]
    type = HexagonConcentricCircleAdaptiveBoundaryMeshGenerator
    inputs = 'patterned'
    sides_to_adapt = '3'

    num_sectors_per_side= '2 2 2 2 2 2'
    hexagon_size = 3.5
    background_intervals= 1

    ring_radii = '2 3'
    ring_intervals = '1 1'

    block_id_shift = 5000
    is_control_drum = true
  []
  [core]
    type = PatternedHexMeshGenerator
    inputs = 'patterned cd_1 cd_2 cd_3 cd_4 cd_5 cd_6'
    #             0       1    2    3    4    5    6
    pattern_boundary = none
    generate_core_metadata = true
    generate_control_drum_positions_file = true
    pattern = '1 6;
              2 0 5;
               3 4'
  []
[]

[AuxVariables]
  [cd_param]
    family = MONOMIAL
    order = CONSTANT
    block = 5002
  []
  [cd_id]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [cd_param_assign]
    type = FunctionAux
    variable = cd_param
    function = cd_param_func
    execute_on = 'initial linear timestep_end'
  []
  [set_cd_id]
    type = ExtraElementIDAux
    variable = cd_id
    extra_id_name = control_drum_id
    execute_on = 'initial timestep_end'
  []
[]

[Functions]
  [cd_param_func]
    type = MultiControlDrumFunction
    mesh_generator = core
    angular_speeds = '2 4 8 16 64 128'
    start_angles = '0 0 0 0 0 0'
    angle_ranges = '90 90 90 90 90 90'
  []
[]

[Executioner]
  type = Transient
  dt = 1
  num_steps = 5
[]

[Outputs]
  [default]
    type = Exodus
  []
[]

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_2d_block_name_conflict.i)

[Mesh]
  [hex_1]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '4 4 4 4 4 4'
    background_intervals = 2
    ring_radii = 4.0
    ring_intervals = 2
    ring_block_ids = '10 15'
    ring_block_names = 'center_tri center'
    background_block_ids = 20
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = on
  []
  [hex_2]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '4 4 4 4 4 4'
    background_intervals = 2
    ring_radii = 4.0
    ring_intervals = 2
    ring_block_ids = '10 15'
    ring_block_names = 'center_tri center'
    background_block_ids = 30
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = on
  []
  [pattern]
    type = PatternedHexMeshGenerator
    inputs = 'hex_1 hex_2'
    pattern_boundary = none
    pattern = '0 0;
              0 1 0;
               0 0'
  []
[]

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern_err.i)

[Mesh]
  [hex_1]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '4 4 4 4 4 4'
    background_intervals = 2
    ring_radii = 4.0
    ring_intervals = 2
    ring_block_ids = '10 15'
    ring_block_names = 'center_tri center'
    background_block_ids = 20
    background_block_names = background
    polygon_size = 5.0
    preserve_volumes = on
  []
  [pattern_1]
    type = PatternedHexMeshGenerator
    inputs = 'hex_1'
    pattern_boundary = none
    generate_core_metadata = true
    pattern = '0 0;
              0 0 0;
               0 0'

  []
[]

(modules/reactor/test/tests/meshgenerators/patterned_hex_peripheral_modifier/patterned.i)

new_num_sector = 10
num_layer = 2

[Mesh]
  [hex_1]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '2 2 2 2 2 2'
    background_intervals = 1
    ring_radii = 4.0
    ring_intervals = 1
    ring_block_ids = '10'
    ring_block_names = 'center_1'
    background_block_ids = 20
    background_block_names = background_1
    polygon_size = 5.0
    preserve_volumes = on
    quad_center_elements = true
  []
  [pattern_1]
    type = PatternedHexMeshGenerator
    inputs = 'hex_1'
    pattern = '0 0;
              0 0 0;
               0 0'
    background_intervals = 1
    hexagon_size = 17
    #duct_sizes = '15 15.5'
    #duct_intervals = '1 2'
  []
  [pmg_1]
    type = PatternedHexPeripheralModifier
    input = pattern_1
    input_mesh_external_boundary = 10000
    new_num_sector = ${new_num_sector}
    num_layers = ${num_layer}
  []
  [hex_2]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '2 2 2 2 2 2'
    background_intervals = 1
    ring_radii = 2.5
    ring_intervals = 1
    ring_block_ids = '30'
    ring_block_names = 'center_2'
    background_block_ids = 40
    background_block_names = background_2
    polygon_size = 3.0
    preserve_volumes = on
    quad_center_elements = true
  []
  [pattern_2]
    type = PatternedHexMeshGenerator
    inputs = 'hex_2'
    pattern = '0 0 0;
              0 0 0 0;
             0 0 0 0 0;
              0 0 0 0;
               0 0 0'
    background_intervals = 1
    hexagon_size = 17
    #duct_sizes = '15 15.5'
    #duct_intervals = '1 2'
  []
  [pmg_2]
    type = PatternedHexPeripheralModifier
    input = pattern_2
    input_mesh_external_boundary = 10000
    new_num_sector = ${new_num_sector}
    num_layers = ${num_layer}
  []
  [hex_3]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '2 2 2 2 2 2'
    background_intervals = 1
    ring_radii = 1.5
    ring_intervals = 1
    ring_block_ids = '50'
    ring_block_names = 'center_3'
    background_block_ids = 60
    background_block_names = background_3
    polygon_size = 2.3
    preserve_volumes = on
    quad_center_elements = true
  []
  [pattern_3]
    type = PatternedHexMeshGenerator
    inputs = 'hex_3'
    pattern = '0 0 0 0;
              0 0 0 0 0;
             0 0 0 0 0 0;
            0 0 0 0 0 0 0;
             0 0 0 0 0 0;
              0 0 0 0 0;
               0 0 0 0'
    background_intervals = 1
    hexagon_size = 17
    #duct_sizes = '15 15.5'
    #duct_intervals = '1 2'
  []
  [pmg_3]
    type = PatternedHexPeripheralModifier
    input = pattern_3
    input_mesh_external_boundary = 10000
    new_num_sector = ${new_num_sector}
    num_layers = ${num_layer}
  []
  [hex_4]
    type = PolygonConcentricCircleMeshGenerator
    num_sides = 6
    num_sectors_per_side = '2 2 2 2 2 2'
    background_intervals = 1
    ring_radii = 1.4
    ring_intervals = 1
    ring_block_ids = '70'
    ring_block_names = 'center_4'
    background_block_ids = 80
    background_block_names = background_4
    polygon_size = 1.8
    preserve_volumes = on
    quad_center_elements = true
  []
  [pattern_4]
    type = PatternedHexMeshGenerator
    inputs = 'hex_4'
    pattern = '0 0 0 0 0;
              0 0 0 0 0 0;
             0 0 0 0 0 0 0;
            0 0 0 0 0 0 0 0;
           0 0 0 0 0 0 0 0 0;
            0 0 0 0 0 0 0 0;
             0 0 0 0 0 0 0;
              0 0 0 0 0 0;
               0 0 0 0 0'
    background_intervals = 1
    hexagon_size = 17
    #duct_sizes = '15 15.5'
    #duct_intervals = '1 2'
  []
  [pmg_4]
    type = PatternedHexPeripheralModifier
    input = pattern_4
    input_mesh_external_boundary = 10000
    new_num_sector = ${new_num_sector}
    num_layers = ${num_layer}
  []
  [pattern_sum]
    type = PatternedHexMeshGenerator
    inputs = 'pmg_1 pmg_2 pmg_3 pmg_4'
    pattern = '2 3;
              1 0 1;
               3 2'
    pattern_boundary = none
    generate_core_metadata = true
  []
[]

(modules/reactor/test/tests/meshgenerators/reporting_id/hexagonal_id/assembly_reporting_id.i)

[Mesh]
  [pin1]
    type = PolygonConcentricCircleMeshGenerator
    preserve_volumes = true
    ring_radii = 0.4
    ring_intervals = 1
    background_intervals = 1
    num_sides = 6
    num_sectors_per_side = '2 2 2 2 2 2'
    polygon_size = 0.5
  []
  [pin2]
    type = PolygonConcentricCircleMeshGenerator
    preserve_volumes = true
    ring_radii = 0.4
    ring_intervals = 1
    background_intervals = 1
    num_sides = 6
    num_sectors_per_side = '2 2 2 2 2 2'
    polygon_size = 0.5
  []
  [assembly]
    type = HexIDPatternedMeshGenerator
    inputs = 'pin1 pin2'
    pattern_boundary = hexagon
    pattern = '  1 0 1;
                0 0 0 0;
               1 0 1 0 1;
                0 0 0 0;
                 1 0 1'
    hexagon_size = 2.6
    duct_sizes = '2.4 2.5'
    duct_intervals = '1 1'
    assign_type = 'cell'
    id_name = 'pin_id'
  []
[]

[Executioner]
  type = Steady
[]

[Problem]
  solve = false
[]

[AuxVariables]
  [pin_id]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [set_pin_id]
    type = ExtraElementIDAux
    variable = pin_id
    extra_id_name = pin_id
  []
[]

[Outputs]
  exodus = true
  execute_on = timestep_end
[]

Overview
Geometry Information
Mesh Information
Boundary Layers
MeshMeshData Generation
Other Information
Example Syntax
Input Parameters
Input Files

Install MOOSE

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PolygonConcentricCircleMeshGenerator

Overview

Geometry Information

Mesh Information

Boundary Layers

MeshMeshData Generation

Other Information

Example Syntax

Input Parameters

Required Parameters

Optional Parameters

Customized Subdomain/Boundary Parameters

Mesh Boundary Layers And Biasing Options Parameters

General Mesh Density Parameters

Advanced Parameters

Input Files

PolygonConcentricCircleMeshGenerator

Overview

Geometry Information

Mesh Information

Boundary Layers

MeshMeshData Generation

Other Information

Example Syntax

Input Parameters

Required Parameters

Optional Parameters

Customized Subdomain/Boundary Parameters

Mesh Boundary Layers And Biasing Options Parameters

General Mesh Density Parameters

Advanced Parameters

Input Files

num_sides

polygon_size_style

polygon_size

polygon_size

polygon_size_style

ring_radii

duct_sizes

polygon_size

duct_sizes

duct_sizes_style

num_sectors_per_side

num_sides

num_sectors_per_side

ring_intervals

background_intervals

duct_intervals

ring_radial_biases

background_radial_bias

duct_radial_biases

ring_inner_boundary_layer_widths

ring_outer_boundary_layer_widths

background_inner_boundary_layer_width

background_outer_boundary_layer_width

duct_inner_boundary_layer_widths

duct_outer_boundary_layer_widths

ring_inner_boundary_layer_intervals

ring_outer_boundary_layer_intervals

background_inner_boundary_layer_intervals

background_outer_boundary_layer_intervals

duct_inner_boundary_layer_intervals

duct_outer_boundary_layer_intervals

ring_inner_boundary_layer_biases

ring_outer_boundary_layer_biases

background_inner_boundary_layer_bias

background_outer_boundary_layer_bias

duct_inner_boundary_layer_biases

duct_outer_boundary_layer_biases

num_sides

background_intervals

num_sectors_per_side

center_quad_factor

quad_center_elements

preserve_volumes

uniform_mesh_on_sides

ring_block_ids

background_block_ids

duct_block_ids

ring_block_names

background_block_names

duct_block_names

background_intervals

ring_radii

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern.i)

(modules/reactor/test/tests/meshgenerators/tri_pin_hex_assemby_generator/dummy_core.i)

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_2d_err.i)

(modules/reactor/test/tests/meshgenerators/polygon_concentric_circle_mesh_generator/poly_2d.i)

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern.i)

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_2d.i)

(modules/reactor/test/tests/functions/multi_control_drum_function/multi_cd_noid.i)

(modules/reactor/test/tests/meshgenerators/azimuthal_block_split_generator/non_replicated.i)

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern_err2.i)

(modules/reactor/test/tests/meshgenerators/patterned_hex_mesh_generator/patterned_pattern_cd.i)

(modules/reactor/test/tests/meshgenerators/patterned_hex_peripheral_modifier/single_hex.i)

(modules/reactor/test/tests/meshgenerators/reporting_id/hexagonal_id/core_reporting_id.i)