LCOV - code coverage report
Current view: top level - src/meshgenerators - CoarsenBlockGenerator.C (source / functions) Hit Total Coverage
Test: idaholab/moose framework: 2bf808 Lines: 195 211 92.4 %
Date: 2025-07-17 01:28:37 Functions: 6 6 100.0 %
Legend: Lines: hit not hit

          Line data    Source code
       1             : //* This file is part of the MOOSE framework
       2             : //* https://mooseframework.inl.gov
       3             : //*
       4             : //* All rights reserved, see COPYRIGHT for full restrictions
       5             : //* https://github.com/idaholab/moose/blob/master/COPYRIGHT
       6             : //*
       7             : //* Licensed under LGPL 2.1, please see LICENSE for details
       8             : //* https://www.gnu.org/licenses/lgpl-2.1.html
       9             : 
      10             : #include "CoarsenBlockGenerator.h"
      11             : #include "MooseMeshUtils.h"
      12             : #include "MeshCoarseningUtils.h"
      13             : #include "MeshBaseDiagnosticsUtils.h"
      14             : 
      15             : #include "libmesh/elem.h"
      16             : #include "libmesh/mesh_modification.h"
      17             : #include "CastUniquePointer.h"
      18             : 
      19             : registerMooseObject("MooseApp", CoarsenBlockGenerator);
      20             : 
      21             : InputParameters
      22       14677 : CoarsenBlockGenerator::validParams()
      23             : {
      24       14677 :   InputParameters params = MeshGenerator::validParams();
      25             : 
      26       14677 :   params.addClassDescription("Mesh generator which coarsens one or more blocks in an existing "
      27             :                              "mesh. The coarsening algorithm works best for regular meshes.");
      28       14677 :   params.addRequiredParam<MeshGeneratorName>("input", "Input mesh to coarsen");
      29       14677 :   params.addRequiredParam<std::vector<SubdomainName>>("block",
      30             :                                                       "The list of blocks to be coarsened");
      31       14677 :   params.addRequiredParam<std::vector<unsigned int>>(
      32             :       "coarsening",
      33             :       "Maximum amount of times to coarsen elements in each block. See 'block' for indexing");
      34       14677 :   params.addRequiredParam<Point>("starting_point",
      35             :                                  "A point inside the element to start the coarsening from");
      36             : 
      37             :   // This is a heuristic to be able to coarsen inside blocks that are not uniformly refined
      38       14677 :   params.addRangeCheckedParam<Real>(
      39             :       "maximum_volume_ratio",
      40             :       2,
      41             :       "maximum_volume_ratio > 0",
      42             :       "Maximum allowed volume ratio between two fine elements to propagate "
      43             :       "the coarsening front through a side");
      44       44031 :   params.addParam<bool>(
      45             :       "verbose",
      46       29354 :       false,
      47             :       "Whether to make the mesh generator output details of its actions on the console");
      48       44031 :   params.addParam<bool>("check_for_non_conformal_output_mesh",
      49       29354 :                         true,
      50             :                         "Whether to check the entire mesh for non-conformal nodes indicating that "
      51             :                         "the coarsening operation has failed to produce a conformal mesh");
      52       14677 :   return params;
      53           0 : }
      54             : 
      55         208 : CoarsenBlockGenerator::CoarsenBlockGenerator(const InputParameters & parameters)
      56             :   : MeshGenerator(parameters),
      57         208 :     _input(getMesh("input")),
      58         208 :     _block(getParam<std::vector<SubdomainName>>("block")),
      59         208 :     _coarsening(getParam<std::vector<unsigned int>>("coarsening")),
      60         208 :     _starting_point(getParam<Point>("starting_point")),
      61         208 :     _max_vol_ratio(getParam<Real>("maximum_volume_ratio")),
      62         208 :     _verbose(getParam<bool>("verbose")),
      63         416 :     _check_output_mesh_for_nonconformality(getParam<bool>("check_for_non_conformal_output_mesh"))
      64             : {
      65         208 :   if (_block.size() != _coarsening.size())
      66           4 :     paramError("coarsening", "The blocks and coarsening parameter vectors should be the same size");
      67         204 : }
      68             : 
      69             : std::unique_ptr<MeshBase>
      70         104 : CoarsenBlockGenerator::generate()
      71             : {
      72             :   // Get the list of block ids from the block names
      73             :   const auto block_ids =
      74         104 :       MooseMeshUtils::getSubdomainIDs(*_input, getParam<std::vector<SubdomainName>>("block"));
      75         104 :   const std::set<SubdomainID> block_ids_set(block_ids.begin(), block_ids.end());
      76             : 
      77             :   // Check that the block ids/names exist in the mesh
      78         104 :   std::set<SubdomainID> mesh_blocks;
      79         104 :   _input->subdomain_ids(mesh_blocks);
      80             : 
      81         372 :   for (std::size_t i = 0; i < block_ids.size(); ++i)
      82         272 :     if (!MooseMeshUtils::hasSubdomainID(*_input, block_ids[i]))
      83           4 :       paramError("block",
      84             :                  "The block '",
      85           4 :                  getParam<std::vector<SubdomainName>>("block")[i],
      86             :                  "' was not found within the mesh");
      87             : 
      88             :   // Error if it has not been implemented for this element type
      89       59020 :   for (const auto & elem : _input->active_subdomain_set_elements_ptr_range(block_ids_set))
      90             :     // Only types implemented
      91       29460 :     if (elem->type() != QUAD4 && elem->type() != HEX8)
      92           0 :       paramError("block",
      93           0 :                  "The input mesh contains an unsupported element type '" +
      94           0 :                      Moose::stringify(elem->type()) + "' for coarsening in block " +
      95         100 :                      std::to_string(elem->subdomain_id()));
      96             : 
      97             :   // Take ownership of the mesh
      98         100 :   std::unique_ptr<MeshBase> mesh = std::move(_input);
      99         100 :   if (!mesh->is_serial())
     100           0 :     paramError("input", "Input mesh must not be distributed");
     101             : 
     102             :   // Find the element to start from
     103         100 :   auto start_elem = (*mesh->sub_point_locator())(_starting_point);
     104             : 
     105             :   // Check that the starting element choice: in the block with the most coarsening requested
     106         100 :   if (!start_elem)
     107           0 :     paramError("starting_point", "No element was found at that point");
     108         100 :   unsigned int max_c = *std::max_element(_coarsening.begin(), _coarsening.end());
     109         360 :   for (const auto i : index_range(block_ids))
     110         264 :     if (block_ids[i] == start_elem->subdomain_id() && _coarsening[i] != max_c)
     111           8 :       mooseError("The starting element must be in the block set to be coarsened the most.\n"
     112             :                  "Starting element is in block ",
     113           4 :                  start_elem->subdomain_id(),
     114             :                  " set to be coarsened ",
     115           4 :                  _coarsening[i],
     116             :                  " times but the max coarsening required is ",
     117             :                  max_c);
     118             : 
     119             :   // Determine how many times the coarsening will be used
     120          96 :   if (max_c > 0 && !mesh->is_prepared())
     121             :     // we prepare for use to make sure the neighbors have been found
     122          16 :     mesh->prepare_for_use();
     123             : 
     124          96 :   auto mesh_ptr = recursiveCoarsen(block_ids, mesh, _coarsening, max_c, /*step=*/0);
     125             : 
     126             :   // element neighbors are not valid
     127          96 :   if (max_c > 0)
     128          96 :     mesh_ptr->set_isnt_prepared();
     129             : 
     130             :   // flip elements as we were not careful to build them with a positive volume
     131          96 :   MeshTools::Modification::orient_elements(*mesh_ptr);
     132             : 
     133             :   // check that we are not returning a non-conformal mesh
     134          96 :   if (_check_output_mesh_for_nonconformality)
     135             :   {
     136          96 :     mesh_ptr->prepare_for_use();
     137          96 :     unsigned int num_nonconformal_nodes = 0;
     138          96 :     MeshBaseDiagnosticsUtils::checkNonConformalMesh(
     139          96 :         mesh_ptr, _console, 10, TOLERANCE, num_nonconformal_nodes);
     140          96 :     if (num_nonconformal_nodes)
     141           0 :       mooseError("Coarsened mesh has non-conformal nodes. The coarsening process likely failed to "
     142           0 :                  "form a uniform paving of coarsened elements. Number of non-conformal nodes: " +
     143           0 :                  Moose::stringify(num_nonconformal_nodes));
     144             :   }
     145         192 :   return mesh_ptr;
     146          96 : }
     147             : 
     148             : std::unique_ptr<MeshBase>
     149         208 : CoarsenBlockGenerator::recursiveCoarsen(const std::vector<subdomain_id_type> & block_ids,
     150             :                                         std::unique_ptr<MeshBase> & mesh,
     151             :                                         const std::vector<unsigned int> & coarsening,
     152             :                                         const unsigned int max,
     153             :                                         unsigned int coarse_step)
     154             : {
     155         208 :   if (coarse_step == max)
     156          96 :     return dynamic_pointer_cast<MeshBase>(mesh);
     157             : 
     158             :   // Elements should know their neighbors
     159         112 :   if (!mesh->is_prepared())
     160           0 :     mesh->prepare_for_use();
     161             : 
     162             :   // We wont be modifying the starting mesh for simplicity, we will make a copy and return that
     163         112 :   std::unique_ptr<MeshBase> mesh_return;
     164         112 :   int max_num_coarsened = -1;
     165             : 
     166         112 :   const auto base_start_elem = (*mesh->sub_point_locator())(_starting_point);
     167             : 
     168             :   // Try every node as the 'center' point of a coarsened element
     169         784 :   for (const auto & start_node_index : base_start_elem->node_index_range())
     170             :   {
     171         672 :     if (_verbose)
     172         576 :       _console << "Step " << coarse_step + 1 << " coarsening attempt #" << start_node_index
     173         576 :                << "\nUsing node " << *base_start_elem->node_ptr(start_node_index)
     174         576 :                << " as the interior node of the coarse element." << std::endl;
     175             : 
     176             :     // Make a copy of the mesh in case the initial node choice was bad
     177         672 :     auto mesh_copy = mesh->clone();
     178             : 
     179             :     // We will only have a single starting element for now. If there are non-connected components,
     180             :     // we will need to have a starting element-node pair in every component.
     181         672 :     auto start_elem = mesh_copy->elem_ptr(base_start_elem->id());
     182             :     mooseAssert(start_elem, "Should have a real elem pointer");
     183             :     mooseAssert(start_elem->active(), "Starting element must be active");
     184             : 
     185         672 :     auto start_node = start_elem->node_ptr(start_node_index);
     186             :     mooseAssert(start_node, "Starting node should exist");
     187             : 
     188             :     // Create comparator for ordering of candidates
     189       93820 :     auto cmp = [](std::pair<Elem *, Node *> a, std::pair<Elem *, Node *> b)
     190             :     {
     191             :       // Sweep direction
     192             :       // Potentially a user selectable parameter in the future
     193       93820 :       Point sorting_direction(1, 1, 1);
     194             :       const auto sorting =
     195       93820 :           (a.first->vertex_average() - b.first->vertex_average()) * sorting_direction;
     196       93820 :       if (MooseUtils::absoluteFuzzyGreaterThan(sorting, 0))
     197       41084 :         return true;
     198       65480 :       else if (MooseUtils::absoluteFuzzyEqual(sorting, 0) &&
     199       65480 :                MooseUtils::absoluteFuzzyGreaterThan((*a.second - *b.second) * sorting_direction, 0))
     200         536 :         return true;
     201             :       else
     202             :         // Sorting direction is orthogonal to the two pairs, rely on element ids
     203       52200 :         return a.first->id() > b.first->id();
     204             :     };
     205             : 
     206             :     // This set will keep track of all the 'fine elem' + 'coarse element interior node' pairs
     207             :     // we should attempt to form coarse element from
     208             :     // TODO: think about the implications of set vs vector. Set might grow to the entire mesh
     209             :     // due to sorting. Vector we could insert at the beginning and treat new candidates immediately
     210         672 :     std::set<std::pair<Elem *, Node *>, decltype(cmp)> candidate_pairs(cmp);
     211         672 :     candidate_pairs.insert(std::make_pair(start_elem, start_node));
     212             : 
     213             :     // Keep track of the coarse elements created
     214         672 :     std::set<Elem *> coarse_elems;
     215             : 
     216       12040 :     while (candidate_pairs.size() > 0)
     217             :     {
     218       11368 :       Elem * current_elem = candidate_pairs.begin()->first;
     219       11368 :       Node * interior_node = candidate_pairs.begin()->second;
     220             :       mooseAssert(current_elem, "Null candidate element pointer");
     221             :       mooseAssert(interior_node, "Null candidate node pointer");
     222       11368 :       const auto current_node_index = current_elem->get_node_index(interior_node);
     223             :       // just take any another node for now
     224             :       const auto ref_node =
     225       11368 :           current_elem->node_ptr(current_node_index == 0 ? 1 : current_node_index - 1);
     226             :       mooseAssert(ref_node, "Should have a real node pointer");
     227       11368 :       candidate_pairs.erase(candidate_pairs.begin());
     228             : 
     229       11368 :       const auto elem_type = current_elem->type();
     230             : 
     231             :       // Mid-edge nodes could be an option too for making coarse elements.
     232             :       // For a first implementation, we wont try to use them as near the edge we would need
     233             :       // a special treatment.
     234       11368 :       if (!current_elem->is_vertex(current_node_index))
     235        4696 :         continue;
     236             : 
     237             :       // We dont support coarsening libMesh h-refined meshes
     238       11368 :       if (current_elem->level() > 0)
     239           0 :         mooseError("H-refined meshes cannot be coarsened with this mesh generator. Use the "
     240             :                    "[Adaptivity] block to coarsen them.");
     241             : 
     242             :       // Get the nodes to build a coarse element
     243       11368 :       std::vector<const Node *> tentative_coarse_nodes;
     244       11368 :       std::set<const Elem *> fine_elements_const;
     245       11368 :       bool success = MeshCoarseningUtils::getFineElementsFromInteriorNode(
     246             :           *interior_node, *ref_node, *current_elem, tentative_coarse_nodes, fine_elements_const);
     247             : 
     248             :       // For example, not enough fine elements around the node to build a coarse element
     249       11368 :       if (!success)
     250        4056 :         continue;
     251             : 
     252        7312 :       bool go_to_next_candidate = false;
     253             :       // If the fine elements are not all of the same type, we currently cannot coarsen
     254       61872 :       for (auto elem : fine_elements_const)
     255       54560 :         if (elem && elem->type() != elem_type)
     256           0 :           go_to_next_candidate = true;
     257             : 
     258             :       // We do not coarsen across subdomains for now
     259        7312 :       const auto common_subdomain_id = current_elem->subdomain_id();
     260       61872 :       for (auto elem : fine_elements_const)
     261       54560 :         if (elem && elem->subdomain_id() != common_subdomain_id)
     262        2320 :           go_to_next_candidate = true;
     263             : 
     264             :       // Check the coarse element nodes gathered
     265       61872 :       for (const auto & check_node : tentative_coarse_nodes)
     266       54560 :         if (check_node == nullptr)
     267           0 :           go_to_next_candidate = true;
     268             : 
     269        7312 :       if (go_to_next_candidate)
     270         640 :         continue;
     271             : 
     272             :       // We will likely delete the fine elements so we have to drop the const
     273      255808 :       auto cmp_elem = [](Elem * a, Elem * b) { return a->id() - b->id(); };
     274        6672 :       std::set<Elem *, decltype(cmp_elem)> fine_elements(cmp_elem);
     275       56592 :       for (const auto elem_ptr : fine_elements_const)
     276       49920 :         fine_elements.insert(mesh_copy->elem_ptr(elem_ptr->id()));
     277             : 
     278             :       // Form a parent, of a low order type as we only have the extreme vertex nodes
     279        6672 :       std::unique_ptr<Elem> parent = Elem::build(Elem::first_order_equivalent_type(elem_type));
     280        6672 :       parent->subdomain_id() = common_subdomain_id;
     281        6672 :       auto parent_ptr = mesh_copy->add_elem(parent.release());
     282        6672 :       coarse_elems.insert(parent_ptr);
     283             : 
     284             :       // Set the nodes to the coarse element
     285             :       // They were sorted previously in getFineElementFromInteriorNode
     286       56592 :       for (auto i : index_range(tentative_coarse_nodes))
     287       49920 :         parent_ptr->set_node(i, mesh_copy->node_ptr(tentative_coarse_nodes[i]->id()));
     288             : 
     289             :       // Gather targets / next candidates for the next element coarsening
     290             :       // Find the face neighbors, then look for the center node
     291       44976 :       for (const auto side_index : make_range(parent_ptr->n_sides()))
     292             :       {
     293             :         // Pick one of the coarse element nodes by that face
     294             :         // it should not matter which one, they are all vertex nodes of a fine element
     295             :         // that has a neighbor on the other side of the coarse element face
     296       38304 :         const auto coarse_node = parent_ptr->side_ptr(side_index)->node_ptr(0);
     297             :         mooseAssert(coarse_node,
     298             :                     "We should have a node on coarse side " + std::to_string(side_index));
     299             : 
     300             :         // Find one of the fine elements next to the face, its neighbor on the other side
     301             :         // of the coarse face is the face neighbor we want
     302       38304 :         Elem * fine_el = nullptr;
     303      139224 :         for (const auto & fine_elem : fine_elements)
     304             :         {
     305      139224 :           bool found = false;
     306     1094400 :           for (const auto & fine_elem_node : fine_elem->node_ref_range())
     307      993480 :             if (MooseUtils::absoluteFuzzyEqual((*coarse_node - fine_elem_node).norm_sq(), 0))
     308             :             {
     309       38304 :               fine_el = fine_elem;
     310       38304 :               found = true;
     311       38304 :               break;
     312             :             }
     313      139224 :           if (found)
     314       38304 :             break;
     315             :         }
     316             :         mooseAssert(fine_el, "We should have found a fine element for the next candidate");
     317       38304 :         const Real fine_el_volume = fine_el->volume();
     318             : 
     319             :         // Get the element(s) on the other side of the coarse face
     320             :         // We can tentatively support three cases:
     321             :         // - 1 element on the other side, coarse as well (towards less refinement).
     322             :         //   In that case, do not do anything. Two coarse elements sitting next to each other is
     323             :         //   perfect. We can detect this case by looking at the element volumes, with a heuristic
     324             :         //   on the ratio of volumes
     325             :         // - same number of elements on the other side than the fine elements touching the face
     326             :         //   (refinement was uniform on both sides of the face, we have coarsened one side so far)
     327             :         // - more elements on the other side than the fine elements touching the face
     328             :         //   (more refinement on that side of the face initially, we are now two levels of
     329             :         //   refinement away)
     330             :         // TODO: That last case
     331       38304 :         unsigned int fine_side_index = 0;
     332       38304 :         const auto coarse_side_center = parent_ptr->side_ptr(side_index)->vertex_average();
     333       38304 :         Real min_distance = std::numeric_limits<Real>::max();
     334             :         // There might be a better way to find this index. Smallest distance should work
     335      261216 :         for (const auto side_index : make_range(fine_el->n_sides()))
     336             :         {
     337             :           // only two sides (quad), three sides (hex) also own the coarse node
     338      222912 :           if (fine_el->side_ptr(side_index)->get_node_index(coarse_node) == libMesh::invalid_uint)
     339      111456 :             continue;
     340             :           const auto dist =
     341      111456 :               (fine_el->side_ptr(side_index)->vertex_average() - coarse_side_center).norm_sq();
     342      111456 :           if (min_distance > dist)
     343             :           {
     344       63160 :             min_distance = dist;
     345       63160 :             fine_side_index = side_index;
     346             :           }
     347             :         }
     348             :         mooseAssert(min_distance != std::numeric_limits<Real>::max(),
     349             :                     "We should have found a side");
     350             : 
     351             :         // We cannot use the neighbor pointer from the fine element, or else wont be able to
     352             :         // deal with non-conformal meshes that are disjoint at this location
     353             :         // Instead we offset a little and use a point locator
     354             :         Point offset_point =
     355       76608 :             fine_el->side_ptr(fine_side_index)->vertex_average() +
     356           0 :             100 * TOLERANCE *
     357      114912 :                 (fine_el->side_ptr(fine_side_index)->vertex_average() - fine_el->vertex_average());
     358       38304 :         auto pl = mesh_copy->sub_point_locator();
     359       38304 :         pl->enable_out_of_mesh_mode();
     360       38304 :         auto const_neighbor = (*pl)(offset_point);
     361       38304 :         pl->disable_out_of_mesh_mode();
     362             : 
     363             :         // We're at a boundary
     364       38304 :         if (!const_neighbor)
     365        4688 :           continue;
     366             : 
     367             :         // Get a non-const element since it will be a candidate for deletion
     368       33616 :         auto neighbor_fine_elem = mesh_copy->elem_ptr(const_neighbor->id());
     369             : 
     370             :         // Point locator finding a fine element inside
     371       33616 :         if (fine_elements.find(neighbor_fine_elem) != fine_elements.end())
     372           0 :           continue;
     373             : 
     374             :         // Get the interior node for the next tentative coarse element
     375             :         // We can just use the index to get it from the next tentative fine element
     376       33616 :         const auto neighbor_coarse_node_index = neighbor_fine_elem->get_node_index(coarse_node);
     377             :         // Node is not shared between the coarse element and its fine neighbors.
     378             :         // The mesh should probably be stitched before attempting coarsening
     379       33616 :         if (neighbor_coarse_node_index == libMesh::invalid_uint)
     380             :         {
     381        1720 :           mooseInfoRepeated("Coarse element node " + Moose::stringify(*coarse_node) +
     382             :                             " does not seem shared with any element other than the coarse element. "
     383             :                             "Is the mesh will stitched? Or are there non-conformalities?");
     384        1720 :           continue;
     385             :         }
     386       31896 :         const auto opposite_node_index = MeshCoarseningUtils::getOppositeNodeIndex(
     387       31896 :             neighbor_fine_elem->type(), neighbor_coarse_node_index);
     388       31896 :         auto neighbor_interior_node = neighbor_fine_elem->node_ptr(opposite_node_index);
     389             : 
     390             :         // avoid attempting to coarsen again an element we've already coarsened
     391       31896 :         if (coarse_elems.find(neighbor_fine_elem) == coarse_elems.end())
     392             :         {
     393             :           // dont add a candidate if it's too early to coarsen it (will be coarsened on next step)
     394             :           // dont add a candidate if they are close to the size of a coarsened element already
     395       51352 :           for (const auto i : index_range(block_ids))
     396       49104 :             if (block_ids[i] == neighbor_fine_elem->subdomain_id() &&
     397       66712 :                 coarsening[i] > max - coarse_step - 1 &&
     398       17608 :                 std::abs(neighbor_fine_elem->volume()) < std::abs(_max_vol_ratio * fine_el_volume))
     399             :             {
     400       16976 :               candidate_pairs.insert(std::make_pair(neighbor_fine_elem, neighbor_interior_node));
     401       16976 :               break;
     402             :             }
     403             :         }
     404       38304 :       }
     405             : 
     406             :       // Delete the elements used to build the coarse element
     407       56592 :       for (auto & fine_elem : fine_elements)
     408             :       {
     409       49920 :         if (!fine_elem)
     410           0 :           continue;
     411             : 
     412             :         // We dont delete nodes in the fine elements as they get removed during renumbering/
     413             :         // remove_orphaned_nodes calls in preparing for use
     414       49920 :         mesh_copy->delete_elem(fine_elem);
     415             : 
     416             :         // Clean up the list of candidates from any deleted elements
     417      870399 :         for (auto iter = candidate_pairs.begin(); iter != candidate_pairs.end();)
     418             :         {
     419      820479 :           if (iter->first == fine_elem)
     420             :           {
     421        6088 :             iter = candidate_pairs.erase(iter);
     422        6088 :             continue;
     423             :           }
     424      814391 :           ++iter;
     425             :         }
     426             :       }
     427             : 
     428             :       // Contract to remove the elements that were marked for deletion
     429        6672 :       mesh_copy->contract();
     430             :       // Prepare for use to refresh the element neighbors
     431        6672 :       mesh_copy->prepare_for_use();
     432       16064 :     }
     433             : 
     434             :     // We pick the configuration (eg starting node) for which we managed to coarsen the most
     435             :     // This isn't the best idea, as some coarsening could be invalid (non-conformalities)
     436             :     // Maybe we should examine for non-conformality here to make a decision?
     437             :     // It's expensive to do so in a global mesh-wide check though, maybe if we baked that check
     438             :     // into the coarsening work it would be more reasonable.
     439         672 :     if (_verbose)
     440         576 :       _console << "Step " << coarse_step + 1 << " attempt #" << start_node_index << " created "
     441         576 :                << coarse_elems.size() << " coarse elements." << std::endl;
     442         672 :     if (int(coarse_elems.size()) > max_num_coarsened)
     443             :     {
     444         184 :       mesh_return = std::move(mesh_copy);
     445         184 :       max_num_coarsened = coarse_elems.size();
     446             :     }
     447         672 :   }
     448         112 :   if (_verbose)
     449          96 :     _console << "Step " << coarse_step + 1 << " created " << max_num_coarsened
     450          96 :              << " coarsened elements in its most successful attempt." << std::endl;
     451         112 :   coarse_step++;
     452         112 :   return recursiveCoarsen(block_ids, mesh_return, coarsening, max, coarse_step);
     453         112 : }

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