voshell.cpp

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/* *****************************************************************
    MESQUITE -- The Mesh Quality Improvement Toolkit

    Copyright 2010 Sandia National Laboratories.  Developed at the
    University of Wisconsin--Madison under SNL contract number
    624796.  The U.S. Government and the University of Wisconsin
    retain certain rights to this software.

    This library is free software; you can redistribute it and/or
    modify it under the terms of the GNU Lesser General Public
    License as published by the Free Software Foundation; either
    version 2.1 of the License, or (at your option) any later version.

    This library is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
    Lesser General Public License for more details.

    You should have received a copy of the GNU Lesser General Public License
    (lgpl.txt) along with this library; if not, write to the Free Software
    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA

    (2011) kraftche@cae.wisc.edu

  ***************************************************************** */

/** \file voshell.cpp
 *  \brief Implement some of the examples from N. Voshell.
 *  \author Jason Kraftcheck
 *  \author Nick Voshell
 */

#include "TestUtil.hpp"
#include "ShapeImprover.hpp"
#include "UntangleWrapper.hpp"
#include "MeshImpl.hpp"
#include "MsqError.hpp"
#include "QualityAssessor.hpp"

#include "PlanarDomain.hpp"
#include "CylinderDomain.hpp"
#include "SphericalDomain.hpp"
#include "MeshDomain1D.hpp"
#include "DomainClassifier.hpp"

#include "HexLagrangeShape.hpp"
#include "TestUtil.hpp"

#include <iostream>
#include <string>
#include <cstdlib>

using namespace MBMesquite;

std::string get_homogenious_example( DomainClassifier& geom, MeshImpl& mesh, MsqError& err );

std::string get_part_example_tri( DomainClassifier& geom, MeshImpl& mesh, MsqError& err );

std::string get_part_example_quad( DomainClassifier& geom, MeshImpl& mesh, MsqError& err );

std::string get_sphere_cube_example( DomainClassifier& geom, MeshImpl& mesh, MsqError& err );

std::string get_cut_cube_example( DomainClassifier& geom, MeshImpl& mesh, MsqError& err );

std::string get_sphere_cylinder_example( DomainClassifier& geom, MeshImpl& mesh, MsqError& err );

std::string get_hex_3d_part_example( DomainClassifier& geom, MeshImpl& mesh, MsqError& err );

typedef std::string ( *example_setup_t )( DomainClassifier& geom, MeshImpl& mesh, MsqError& err );
struct Example
{
    char flag;
    example_setup_t func;
    const char* desc;
};

int run_example( const Example& e, bool write_output_file );

const Example examples[] = { { 'H', &get_homogenious_example, "homogenous mesh (curvey surface) example" },
                             { 't', &get_part_example_tri, "part mesh with triangles" },
                             { 'q', &get_part_example_quad, "part mesh with quads" },
                             { 'c', &get_sphere_cube_example, "cube with subtracted hemisphere" },
                             { 'l', &get_cut_cube_example, "cube with slot removed" },
                             { 's', &get_sphere_cylinder_example, "cylinder with subtracted sphere" },
                             { 'x', &get_hex_3d_part_example, "rectangular prism with two cylindrical slots" } };
const int num_examples   = sizeof( examples ) / sizeof( examples[0] );

void usage( const char* argv0, bool help = false )
{
    std::cerr << "Usage: " << argv0 << "[-w] ";
    for( int i = 0; i < num_examples; ++i )
        std::cerr << " [-" << examples[i].flag << "]";
    std::cerr << std::endl;

    if( !help )
    {
        std::cerr << "       " << argv0 << " -h" << std::endl;
        std::exit( 1 );
    }
    std::cerr << "  -w : Write final meshes to VTK file" << std::endl;
    std::cerr << "NOTE: If no options are specified, all examples will be run" << std::endl;
    for( int i = 0; i < num_examples; ++i )
        std::cerr << "  -" << examples[i].flag << " : Run " << examples[i].desc << std::endl;
    std::cerr << std::endl;
    std::exit( 0 );
}

int main( int argc, char* argv[] )
{
    bool write_final_meshes = false;
    std::vector< Example > list;
    for( int i = 1; i < argc; ++i )
    {
        if( argv[i][0] != '-' )
        {
            std::cerr << "Invalid argument: \"" << argv[i] << '"' << std::endl;
            usage( argv[0] );
        }
        for( int j = 1; argv[i][j]; ++j )
        {
            if( argv[i][j] == 'w' )
            {
                write_final_meshes = true;
            }
            else
            {
                int idx;
                for( idx = 0; idx < num_examples; ++idx )
                    if( examples[idx].flag == argv[i][j] ) break;
                if( idx == num_examples )
                {
                    if( argv[i][j] == 'h' )
                        usage( argv[0], true );
                    else
                    {
                        std::cerr << "Invalid flag: '" << argv[i][j] << "'" << std::endl;
                        usage( argv[0] );
                    }
                }
                list.push_back( examples[idx] );
            }
        }
    }

    const Example* exlist;
    int exlistlen;
    if( list.empty() )
    {
        exlist    = examples;
        exlistlen = num_examples;
    }
    else
    {
        exlist    = &list[0];
        exlistlen = list.size();
    }

    int result = 0;
    for( int i = 0; i < exlistlen; ++i )
        result += run_example( exlist[i], write_final_meshes );

    return result;
}

int run_example( const Example& e, bool write_output_file )
{
    MsqPrintError err( std::cerr );
    MeshImpl mesh;
    DomainClassifier domain;
    HexLagrangeShape hex27;

    std::cout << std::endl
              << "--------------------------------------------------------------------" << std::endl
              << e.desc << std::endl
              << "--------------------------------------------------------------------" << std::endl;

    std::string name = e.func( domain, mesh, err );
    if( MSQ_CHKERR( err ) ) return 2;
    std::cout << "Loaded mesh from: " << name << std::endl;

    UntangleWrapper untangler;
    untangler.set_slaved_ho_node_mode( Settings::SLAVE_NONE );
    untangler.set_mapping_function( &hex27 );
    MeshDomainAssoc mesh_and_domain = MeshDomainAssoc( &mesh, &domain, false, true );
    untangler.run_instructions( &mesh_and_domain, err );
    if( MSQ_CHKERR( err ) ) return 1;
    ShapeImprover smoother;
    smoother.set_slaved_ho_node_mode( Settings::SLAVE_NONE );
    smoother.set_mapping_function( &hex27 );
    smoother.set_vertex_movement_limit_factor( 0.05 );
    smoother.run_instructions( &mesh_and_domain, err );
    if( MSQ_CHKERR( err ) ) return 1;

    if( write_output_file )
    {
        size_t idx = name.find( ".vtk" );
        if( idx != std::string::npos )
        {
            std::string newname( name.substr( 0, idx ) );
            newname += ".out";
            newname += name.substr( idx );
            name.swap( newname );
        }
        else
        {
            name += ".out";
        }

        mesh.write_vtk( name.c_str(), err );MSQ_CHKERR( err );
        std::cout << "Write mesh to file: " << name << std::endl;
    }

    return smoother.quality_assessor().invalid_elements();
}

void get_planar_example( const char* filename, DomainClassifier& geom, MeshImpl& mesh, MsqError& err )
{
    static PlanarDomain z( PlanarDomain::XY );
    mesh.read_vtk( filename, err );MSQ_ERRRTN( err );
    mesh.mark_skin_fixed( err );MSQ_ERRRTN( err );
    DomainClassifier::DomainSet set( &z );
    mesh.get_all_vertices( set.vertices, err );MSQ_ERRRTN( err );
    mesh.get_all_elements( set.elements, err );MSQ_ERRRTN( err );
    DomainClassifier::classify_by_handle( geom, &mesh, &set, 1, err );MSQ_ERRRTN( err );
}

std::string get_homogenious_example( DomainClassifier& geom, MeshImpl& mesh, MsqError& err )
{
    std::string filename = std::string( STRINGIFY( SRCDIR ) ) + "/homogeneousPart.vtk";
    get_planar_example( filename.c_str(), geom, mesh, err );MSQ_CHKERR( err );
    return filename;
}

std::string get_part_example_tri( DomainClassifier& geom, MeshImpl& mesh, MsqError& err )
{
    std::string filename = std::string( STRINGIFY( SRCDIR ) ) + "/triPart.vtk";
    get_planar_example( filename.c_str(), geom, mesh, err );MSQ_CHKERR( err );
    return filename;
}

std::string get_part_example_quad( DomainClassifier& geom, MeshImpl& mesh, MsqError& err )
{
    std::string filename = std::string( STRINGIFY( SRCDIR ) ) + "/quadPart.vtk";
    get_planar_example( filename.c_str(), geom, mesh, err );MSQ_CHKERR( err );
    return filename;
}

std::string get_sphere_cube_example( DomainClassifier& geom, MeshImpl& mesh, MsqError& err )
{
    std::string filename = std::string( STRINGIFY( SRCDIR ) ) + "/sphereCube.vtk";

    const Vector3D vec_i( 5, 0, 0 ), vec_ni( -5, 0, 0 );
    const Vector3D vec_j( 0, 5, 0 ), vec_nj( 0, -5, 0 );
    const Vector3D vec_k( 0, 0, 5 ), vec_nk( 0, 0, -5 );

    const Vector3D vec_tfl( 5, -5, 5 ), vec_tfr( 5, 5, 5 );
    const Vector3D vec_tbl( -5, -5, 5 ), vec_tbr( -5, 5, 5 );
    const Vector3D vec_bfl( 5, -5, -5 ), vec_bfr( 5, 5, -5 );
    const Vector3D vec_bbl( -5, -5, -5 ), vec_bbr( -5, 5, -5 );

    const Vector3D vec_ts( 5, 0, 2 ), vec_bs( 5, 0, -2 );

    //++ 0D domains ++

    static PointDomain pt_tfl( vec_tfl ), pt_tfr( vec_tfr );
    static PointDomain pt_tbl( vec_tbl ), pt_tbr( vec_tbr );
    static PointDomain pt_bfl( vec_bfl ), pt_bfr( vec_bfr );
    static PointDomain pt_bbl( vec_bbl ), pt_bbr( vec_bbr );

    //++ 1D domains ++

    // top square
    static LineDomain ln_tf( vec_tfl, vec_j ), lin_tb( vec_tbr, vec_nj );
    static LineDomain ln_tl( vec_tfl, vec_ni ), lin_tr( vec_tbr, vec_i );
    // bottom square
    static LineDomain ln_bf( vec_bfl, vec_j ), lin_bb( vec_bbr, vec_nj );
    static LineDomain ln_bl( vec_bfl, vec_ni ), lin_br( vec_bbr, vec_i );
    // sides
    static LineDomain ln_lf( vec_bfl, vec_k ), lin_rf( vec_bfr, vec_k );
    static LineDomain ln_lb( vec_bbl, vec_k ), lin_rb( vec_bbr, vec_k );

    // top sphere
    // CircleDomain cr_tf(vec_ts,vec_i,1.0), cr_tn(vec_ts,vec_k,1.0);
    // bottom sphere
    // CircleDomain cr_bf(vec_bs,vec_i,1.0), cr_bn(vec_bs,vec_k,1.0);
    static CircleDomain cr_ct( vec_k, vec_k, 1.0 );

    //++ 2D domains ++

    // cube
    static PlanarDomain sf_i( vec_i, vec_i ), sf_ni( vec_ni, vec_ni );
    static PlanarDomain sf_j( vec_j, vec_j ), sf_nj( vec_nj, vec_nj );
    static PlanarDomain sf_k( vec_k, vec_k ), sf_nk( vec_nk, vec_nk );
    // cut
    // CylinderDomain cy(1.0,vec_k,vec_bs);
    static SphericalDomain sp_t( vec_k, 1.0 );  //, sp_b(vec_bs,1.0);

    MeshDomain* base_domains[] = {
        &pt_tfl, &pt_tfr, &pt_tbl, &pt_tbr, &pt_bfl, &pt_bfr, &pt_bbl, &pt_bbr,

        &ln_tf, &lin_tb, &ln_tl, &lin_tr, &ln_bf, &lin_bb, &ln_bl, &lin_br, &ln_lf, &lin_rf, &ln_lb, &lin_rb,

        //  &cr_tf, &cr_tn,
        //  &cr_bf, &cr_bn,
        &cr_ct,

        &sf_i, &sf_ni, &sf_j, &sf_nj, &sf_k, &sf_nk,
        //&cy,
        &sp_t  //, &sp_b
    };
    const int NDOM = sizeof( base_domains ) / sizeof( base_domains[0] );

    int dim_array[NDOM] = {
        0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  // 1,1,1,
        2, 2, 2, 2, 2, 2, 2                                             //,2,2
    };

    //++ MESH & DOMAIN ++

    mesh.read_vtk( filename.c_str(), err );
    MSQ_ERRZERO( err );
    DomainClassifier::classify_skin_geometrically( geom, &mesh, 0.1, base_domains, dim_array, NDOM, err );
    MSQ_ERRZERO( err );
    mesh.set_skin_flags( false, false, true, err );
    MSQ_ERRZERO( err );

    return filename;
}

std::string get_cut_cube_example( DomainClassifier& geom, MeshImpl& mesh, MsqError& err )
{
    std::string filename = std::string( STRINGIFY( SRCDIR ) ) + "/cutCube.vtk";

    const Vector3D vec_i( 5, 0, 0 ), vec_ni( -5, 0, 0 );
    const Vector3D vec_j( 0, 5, 0 ), vec_nj( 0, -5, 0 );
    const Vector3D vec_k( 0, 0, 5 ), vec_nk( 0, 0, -5 );

    const Vector3D vec_tfl( 5, -5, 5 ), vec_tfr( 5, 5, 5 );
    const Vector3D vec_tbl( -5, -5, 5 ), vec_tbr( -5, 5, 5 );
    const Vector3D vec_bfl( 5, -5, -5 ), vec_bfr( 5, 5, -5 );
    const Vector3D vec_bbl( -5, -5, -5 ), vec_bbr( -5, 5, -5 );

    const Vector3D vec_ts( 5, 0, 2 ), vec_bs( 5, 0, -2 );

    //++ 0D domains ++

    static PointDomain pt_tfl( vec_tfl ), pt_tfr( vec_tfr );
    static PointDomain pt_tbl( vec_tbl ), pt_tbr( vec_tbr );
    static PointDomain pt_bfl( vec_bfl ), pt_bfr( vec_bfr );
    static PointDomain pt_bbl( vec_bbl ), pt_bbr( vec_bbr );

    //++ 1D domains ++

    // top square
    static LineDomain ln_tf( vec_tfl, vec_j ), lin_tb( vec_tbr, vec_nj );
    static LineDomain ln_tl( vec_tfl, vec_ni ), lin_tr( vec_tbr, vec_i );
    // bottom square
    static LineDomain ln_bf( vec_bfl, vec_j ), lin_bb( vec_bbr, vec_nj );
    static LineDomain ln_bl( vec_bfl, vec_ni ), lin_br( vec_bbr, vec_i );
    // sides
    static LineDomain ln_lf( vec_bfl, vec_k ), lin_rf( vec_bfr, vec_k );
    static LineDomain ln_lb( vec_bbl, vec_k ), lin_rb( vec_bbr, vec_k );

    // top sphere
    static CircleDomain cr_tf( vec_ts, vec_i, 1.0 ), cr_tn( vec_ts, vec_k, 1.0 );
    // bottom sphere
    static CircleDomain cr_bf( vec_bs, vec_i, 1.0 ), cr_bn( vec_bs, vec_k, 1.0 );

    //++ 2D domains ++

    // cube
    static PlanarDomain sf_i( vec_i, vec_i ), sf_ni( vec_ni, vec_ni );
    static PlanarDomain sf_j( vec_j, vec_j ), sf_nj( vec_nj, vec_nj );
    static PlanarDomain sf_k( vec_k, vec_k ), sf_nk( vec_nk, vec_nk );
    // cut
    static CylinderDomain cy( 1.0, vec_k, vec_bs );
    static SphericalDomain sp_t( vec_ts, 1.0 ), sp_b( vec_bs, 1.0 );

    MeshDomain* base_domains[] = { &pt_tfl, &pt_tfr, &pt_tbl, &pt_tbr, &pt_bfl, &pt_bfr, &pt_bbl, &pt_bbr,

                                   &ln_tf,  &lin_tb, &ln_tl,  &lin_tr, &ln_bf,  &lin_bb, &ln_bl,  &lin_br, &ln_lf,
                                   &lin_rf, &ln_lb,  &lin_rb, &cr_tf,  &cr_tn,  &cr_bf,  &cr_bn,

                                   &sf_i,   &sf_ni,  &sf_j,   &sf_nj,  &sf_k,   &sf_nk,  &cy,     &sp_t,   &sp_b };
    const int NDOM             = sizeof( base_domains ) / sizeof( base_domains[0] );

    int dim_array[NDOM] = { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1,
                            1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2 };

    //++ MESH & DOMAIN ++

    mesh.read_vtk( filename.c_str(), err );
    MSQ_ERRZERO( err );
    DomainClassifier::classify_skin_geometrically( geom, &mesh, 0.1, base_domains, dim_array, NDOM, err );
    MSQ_ERRZERO( err );
    mesh.set_skin_flags( false, false, true, err );
    MSQ_ERRZERO( err );

    return filename;
}

std::string get_sphere_cylinder_example( DomainClassifier& geom, MeshImpl& mesh, MsqError& err )
{
    std::string filename = std::string( STRINGIFY( SRCDIR ) ) + "/sphereCylinder_1194_inv.vtk";

    const Vector3D vec_k( 0, 0, 8 ), vec_nk( 0, 0, -8 );
    const Vector3D vec_c( 0, 0, 5 );

    //++ 0D domains ++

    //++ 1D domains ++

    // top circle
    static CircleDomain cr_to( vec_k, vec_k, 8.0 ), cr_ti( vec_k, vec_k, 4.0 );
    // bottom circle
    static CircleDomain cr_bo( vec_nk, vec_nk, 8.0 );

    //++ 2D domains ++

    static PlanarDomain sf_t( vec_k, vec_k ), sf_b( vec_nk, vec_nk );
    static CylinderDomain cy( 8.0, vec_k, vec_k );
    static SphericalDomain sp( vec_c, 5.0 );

    MeshDomain* base_domains[] = { &cr_to, &cr_ti, &cr_bo, &sf_t, &sf_b, &cy, &sp };
    const int NDOM             = sizeof( base_domains ) / sizeof( base_domains[0] );

    int dim_array[NDOM] = { 1, 1, 1, 2, 2, 2, 2 };

    //++ MESH & DOMAIN ++

    mesh.read_vtk( filename.c_str(), err );
    MSQ_ERRZERO( err );
    DomainClassifier::classify_skin_geometrically( geom, &mesh, 0.001, base_domains, dim_array, NDOM, err );
    MSQ_ERRZERO( err );
    mesh.set_skin_flags( false, false, true, err );
    MSQ_ERRZERO( err );

    return filename;
}

std::string get_hex_3d_part_example( DomainClassifier& geom, MeshImpl& mesh, MsqError& err )
{
    std::string filename = std::string( STRINGIFY( SRCDIR ) ) + "/hex3Dpart.vtk";

    // 2D domains

    const Vector3D vec_i( 1, 0, 0 ), vec_j( 0, 1, 0 ), vec_k( 0, 0, 1 );
    const Vector3D vec_ni( -1, 0, 0 ), vec_nj( 0, -1, 0 ), vec_nk( 0, 0, -1 );

    const Vector3D vec_left( -11.5, 0, 0 ), vec_right( 11.5, 0, 0 );
    const Vector3D vec_top( 0, 5, 0 ), vec_bottom( 0, -5, 0 );
    const Vector3D vec_front( 0, 0, 5 ), vec_back( 0, 0, -5 );

    // 1D domains

    const Vector3D pt_top_front( 0, 5, 5 ), pt_top_back( 0, 5, -5 );
    const Vector3D pt_bottom_front( 0, -5, 5 ), pt_bottom_back( 0, -5, -5 );

    const Vector3D pt_top_left( -11.5, 5, 0 ), pt_top_right( 11.5, 5, 0 );
    const Vector3D pt_bottom_left( -11.5, -5, 0 ), pt_bottom_right( 11.5, -5, 0 );

    const Vector3D pt_left_front( -11.5, 0, 5 ), pt_left_back( -11.5, 0, -5 );
    const Vector3D pt_right_front( 11.5, 0, 5 ), pt_right_back( 11.5, 0, -5 );

    const Vector3D cpt_top_left( -1.5, 5, 0 ), cpt_top_right( 1.5, 5, 0 );
    const Vector3D cpt_bottom_left( -1.5, -5, 0 ), cpt_bottom_right( 1.5, -5, 0 );

    // 0D domains

    const Vector3D pt_tlf( -11.5, 5, 5 ), pt_tlb( -11.5, 5, -5 );
    const Vector3D pt_trf( 11.5, 5, 5 ), pt_trb( 11.5, 5, -5 );
    const Vector3D pt_blf( -11.5, -5, 5 ), pt_blb( -11.5, -5, -5 );
    const Vector3D pt_brf( 11.5, -5, 5 ), pt_brb( 11.5, -5, -5 );

    const Vector3D pt_c_tlf( -1.5, 5, 5 ), pt_c_tlb( -1.5, 5, -5 );
    const Vector3D pt_c_trf( 1.5, 5, 5 ), pt_c_trb( 1.5, 5, -5 );
    const Vector3D pt_c_blf( -1.5, -5, 5 ), pt_c_blb( -1.5, -5, -5 );
    const Vector3D pt_c_brf( 1.5, -5, 5 ), pt_c_brb( 1.5, -5, -5 );

    static PointDomain p00( pt_tlf );
    static PointDomain p01( pt_tlb );
    static PointDomain p02( pt_trf );
    static PointDomain p03( pt_trb );
    static PointDomain p04( pt_blf );
    static PointDomain p05( pt_blb );
    static PointDomain p06( pt_brf );
    static PointDomain p07( pt_brb );

    static PointDomain p08( pt_c_tlf );
    static PointDomain p09( pt_c_tlb );
    static PointDomain p10( pt_c_trf );
    static PointDomain p11( pt_c_trb );
    static PointDomain p12( pt_c_blf );
    static PointDomain p13( pt_c_blb );
    static PointDomain p14( pt_c_brf );
    static PointDomain p15( pt_c_brb );

    static CircleDomain c00( pt_top_front, vec_k, 1.5 );
    static CircleDomain c01( pt_top_back, vec_k, 1.5 );
    static CircleDomain c02( pt_bottom_front, vec_k, 1.5 );
    static CircleDomain c03( pt_bottom_back, vec_k, 1.5 );

    static LineDomain l00( cpt_top_left, vec_k );
    static LineDomain l01( cpt_top_right, vec_k );
    static LineDomain l02( cpt_bottom_left, vec_k );
    static LineDomain l03( cpt_bottom_right, vec_k );

    static LineDomain l04( pt_top_front, vec_i );
    static LineDomain l05( pt_top_back, vec_i );
    static LineDomain l06( pt_bottom_front, vec_i );
    static LineDomain l07( pt_bottom_back, vec_i );
    static LineDomain l08( pt_top_left, vec_k );
    static LineDomain l09( pt_top_right, vec_k );
    static LineDomain l10( pt_bottom_left, vec_k );
    static LineDomain l11( pt_bottom_right, vec_k );
    static LineDomain l12( pt_left_front, vec_j );
    static LineDomain l13( pt_left_back, vec_j );
    static LineDomain l14( pt_right_front, vec_j );
    static LineDomain l15( pt_right_back, vec_j );

    static CylinderDomain C00( 1.5, vec_k, vec_top, false );
    static CylinderDomain C01( 1.5, vec_k, vec_bottom, false );
    static PlanarDomain P00( vec_ni, vec_left );
    static PlanarDomain P01( vec_i, vec_right );
    static PlanarDomain P02( vec_j, vec_top );
    static PlanarDomain P03( vec_nj, vec_bottom );
    static PlanarDomain P04( vec_k, vec_front );
    static PlanarDomain P05( vec_nk, vec_back );

    const int NDOM                 = 44;
    MeshDomain* base_domains[NDOM] = { &p00, &p01, &p02, &p03, &p04, &p05, &p06, &p07,

                                       &p08, &p09, &p10, &p11, &p12, &p13, &p14, &p15,

                                       &c00, &c01, &c02, &c03,

                                       &l00, &l01, &l02, &l03,

                                       &l04, &l05, &l06, &l07, &l08, &l09, &l10, &l11, &l12, &l13, &l14, &l15,

                                       &C00, &C01, &P00, &P01, &P02, &P03, &P04, &P05 };

    int dim_array[NDOM] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1,
                            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2 };

    //++ MESH & DOMAIN ++

    mesh.read_vtk( filename.c_str(), err );
    MSQ_ERRZERO( err );
    DomainClassifier::classify_skin_geometrically( geom, &mesh, 0.1, base_domains, dim_array, NDOM, err );
    MSQ_ERRZERO( err );
    mesh.set_skin_flags( false, false, true, err );
    MSQ_ERRZERO( err );

    return filename;
}