LIGGGHTS-PUBLIC-3.8.0-26-g6e873439/src/fix_mesh.cpp

/* ----------------------------------------------------------------------
    This is the

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    ╚══════╝╚═╝ ╚═════╝  ╚═════╝  ╚═════╝ ╚═╝  ╚═╝   ╚═╝   ╚══════╝®

    DEM simulation engine, released by
    DCS Computing Gmbh, Linz, Austria
    http://www.dcs-computing.com, office@dcs-computing.com

    LIGGGHTS® is part of CFDEM®project:
    http://www.liggghts.com | http://www.cfdem.com

    Core developer and main author:
    Christoph Kloss, christoph.kloss@dcs-computing.com

    LIGGGHTS® is open-source, distributed under the terms of the GNU Public
    License, version 2 or later. It 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. You should have
    received a copy of the GNU General Public License along with LIGGGHTS®.
    If not, see http://www.gnu.org/licenses . See also top-level README
    and LICENSE files.

    LIGGGHTS® and CFDEM® are registered trade marks of DCS Computing GmbH,
    the producer of the LIGGGHTS® software and the CFDEM®coupling software
    See http://www.cfdem.com/terms-trademark-policy for details.

-------------------------------------------------------------------------
    Contributing author and copyright for this file:

    Christoph Kloss (DCS Computing GmbH, Linz)
    Christoph Kloss (JKU Linz)
    Philippe Seil (JKU Linz)

    Copyright 2012-     DCS Computing GmbH, Linz
    Copyright 2009-2012 JKU Linz
------------------------------------------------------------------------- */

/* ----------------------------------------------------------------------
   Contributing author:
   Evan Smuts (U Cape Town, surface velocity rotation)
------------------------------------------------------------------------- */

#include "fix_mesh.h"
#include <stdio.h>
#include <string.h>
#include <algorithm>
#include <cmath>
#include "error.h"
#include "force.h"
#include "bounding_box.h"
#include "input_mesh_tri.h"
#include "fix_contact_history.h"
#include "fix_neighlist_mesh.h"
#include "tri_mesh_deform.h"
#include "fix_property_global.h"
#include "fix_move_mesh.h"
#include "tri_mesh_planar.h"
#include "modify.h"
#include "comm.h"
#include "math_extra.h"
#include "string_liggghts.h"

using namespace LAMMPS_NS;
using namespace FixConst;

#define EPSILON_V 0.00001

FixMesh::FixMesh(LAMMPS *lmp, int narg, char **arg)
: FixBaseLiggghts(lmp, narg, arg),
  atom_type_mesh_(-1),
  temperature_mesh_(0.),
  mass_temperature_(0.),
  trackPerElementTemp_(false),
  mesh_(NULL),
  setupFlag_(false),
  pOpFlag_(false),
  manipulated_(false),
  verbose_(false),
  autoRemoveDuplicates_(false),
  precision_(0.),
  min_feature_length_(-1.),
  element_exclusion_list_(0),
  read_exclusion_list_(false),
  exclusion_list_(0),
  size_exclusion_list_(0),
  fix_capacity_(0)
{
    if(narg < 5)
      error->fix_error(FLERR,this,"not enough arguments - at least keyword 'file' and a filename are required.");

    do_support_multisphere();
    do_not_need_radius();
    do_not_need_mass();

    restart_global = 1;

    force_reneighbor = 1;
    next_reneighbor = -1;

    // parse args

    iarg_ = 3;

    char mesh_fname[256];
    bool is_fix = strcmp(arg[iarg_], "fix") == 0;
    if(!(strcmp(arg[iarg_],"file")==0 || is_fix))
        error->fix_error(FLERR,this,"expecting keyword 'file' or 'fix'");
    iarg_++;
    strcpy(mesh_fname,arg[iarg_++]);

    // parse args

    bool hasargs = true;
    while(iarg_ < narg && hasargs)
    {
        hasargs = false;
        if(strcmp(arg[iarg_],"type") == 0) {
            iarg_++;
            atom_type_mesh_ = force->inumeric(FLERR,arg[iarg_++]);
            if(atom_type_mesh_ < 1)
                error->fix_error(FLERR,this,"'type' > 0 required");
            hasargs = true;
        } else if(strcmp(arg[iarg_],"verbose") == 0) {
            if(narg < iarg_+2)
                error->fix_error(FLERR,this,"not enough arguments for 'verbose'");
            if(strcmp(arg[iarg_+1],"yes") == 0)
              verbose_ = true;
            else if(strcmp(arg[iarg_+1],"no"))
                error->fix_error(FLERR,this,"expecing 'yes' or 'no' for 'verbose'");
            iarg_ += 2;
            hasargs = true;
        } else if (strcmp(arg[iarg_],"region") == 0) {
          if (iarg_+2 > narg) error->fix_error(FLERR,this,"not enough arguments for 'region'");
          process_region(arg[iarg_+1]);
          iarg_ += 2;
          hasargs = true;
        } else if(strcmp(arg[iarg_],"heal") == 0) {
            if(narg < iarg_+2)
                error->fix_error(FLERR,this,"not enough arguments for 'heal'");
            if(strcmp(arg[iarg_+1],"auto_remove_duplicates") == 0)
                autoRemoveDuplicates_ = true;
            else if(strcmp(arg[iarg_+1],"no"))
                error->fix_error(FLERR,this,"expecing 'auto_remove_duplicates' or 'no' for 'heal'");
            iarg_ += 2;
            hasargs = true;
        } else if (strcmp(arg[iarg_],"precision") == 0) {
            if (narg < iarg_+2) error->fix_error(FLERR,this,"not enough arguments");
            iarg_++;
            precision_ = force->numeric(FLERR,arg[iarg_++]);
            if(precision_ < 0. || precision_ > 0.001)
              error->fix_error(FLERR,this,"0 < precision < 0.001 required");
            hasargs = true;
        } else if (strcmp(arg[iarg_],"min_feature_length") == 0) {
            if (narg < iarg_+2) error->fix_error(FLERR,this,"not enough arguments");
            iarg_++;
            min_feature_length_ = force->numeric(FLERR,arg[iarg_++]);
            if(min_feature_length_ <= 0.)
              error->fix_error(FLERR,this,"0 < min_feature_length > 0.0 required");
            hasargs = true;
        } else if (strcmp(arg[iarg_],"element_exclusion_list") == 0) {
            if (narg < iarg_+3) error->fix_error(FLERR,this,"not enough arguments");
            iarg_++;
            if(strcmp("read",arg[iarg_]) == 0)
                read_exclusion_list_ = true;
            else if(strcmp("write",arg[iarg_]) == 0)
                read_exclusion_list_ = false;
            else error->fix_error(FLERR,this,"expecing 'read' or 'write' after 'element_exclusion_list'");
            iarg_++;

            if(1 < comm->nprocs && !read_exclusion_list_)
                error->fix_error(FLERR,this,"'write' mode for 'element_exclusion_list' only works in serial");

            // case write
            if (!read_exclusion_list_ && 0 == comm->me)
            {
                element_exclusion_list_ = fopen(arg[iarg_++],"w");
                if(!element_exclusion_list_)
                    error->one(FLERR,"Fix mesh: can not open file for 'element_exclusion_list' for writing");
            }
            // case read
            else if(read_exclusion_list_ && 0 == comm->me)
            {
                element_exclusion_list_ = fopen(arg[iarg_++],"r");
                if(!element_exclusion_list_)
                    error->one(FLERR,"Fix mesh: can not open file for 'element_exclusion_list' for reading");
            }
            if(0 < comm->me)
                iarg_++;
            hasargs = true;
        }
    }

    if(min_feature_length_ > 0. && (!element_exclusion_list_ || read_exclusion_list_))
        error->fix_error(FLERR,this,"'min_feature_length' requires use of 'element_exclusion_list write'");

    // create/handle exclusion list
    handle_exclusion_list();

    // construct a mesh - can be surface or volume mesh
    // just create object and return if reading data from restart file

    if(modify->have_restart_data(this)) create_mesh_restart(mesh_fname);
    else create_mesh(mesh_fname, is_fix);

    // parse further args

    hasargs = true;
    while(iarg_ < narg && hasargs)
    {
      hasargs = false;
      if(strcmp(arg[iarg_],"move") == 0) {
          if (narg < iarg_+4) error->fix_error(FLERR,this,"not enough arguments");
          moveMesh(force->numeric(FLERR,arg[iarg_+1]),force->numeric(FLERR,arg[iarg_+2]),force->numeric(FLERR,arg[iarg_+3]));
          manipulated_ = true;
          iarg_ += 4;
          hasargs = true;
      } else if(strcmp(arg[iarg_],"rotate") == 0) {
          if (narg < iarg_+7)
              error->fix_error(FLERR,this,"not enough arguments");
          if(strcmp(arg[iarg_+1],"axis"))
              error->fix_error(FLERR,this,"expecting keyword 'axis' after keyword 'rotate'");
          if(strcmp(arg[iarg_+5],"angle"))
              error->fix_error(FLERR,this,"expecting keyword 'angle' after axis definition");
          rotateMesh(force->numeric(FLERR,arg[iarg_+2]),force->numeric(FLERR,arg[iarg_+3]),force->numeric(FLERR,arg[iarg_+4]),
                   force->numeric(FLERR,arg[iarg_+6]));
          manipulated_ = true;
          iarg_ += 7;
          hasargs = true;
      } else if(strcmp(arg[iarg_],"scale") == 0) {
          if (narg < iarg_+2) error->fix_error(FLERR,this,"not enough arguments");
          scaleMesh(force->numeric(FLERR,arg[iarg_+1]));
          manipulated_ = true;
          iarg_ += 2;
          hasargs = true;
      } else if (strcmp(arg[iarg_],"temperature") == 0) {
          iarg_++;
          temperature_mesh_ = atof(arg[iarg_++]);
          mesh_->prop().addGlobalProperty< ScalarContainer<double> >("Temp","comm_none","frame_invariant","restart_yes");
          mesh_->prop().setGlobalProperty< ScalarContainer<double> >("Temp",temperature_mesh_);
          mesh_->prop().addGlobalProperty< ScalarContainer<double> >("heatFlux","comm_none","frame_invariant","restart_no");
          mesh_->prop().setGlobalProperty< ScalarContainer<double> >("heatFlux",0.);
          mesh_->prop().addGlobalProperty< ScalarContainer<double> >("heatFluxTotal","comm_none","frame_invariant","restart_yes");
          mesh_->prop().setGlobalProperty< ScalarContainer<double> >("heatFluxTotal",0.);

          hasargs = true;
      } else if (strcmp(arg[iarg_],"mass_temperature") == 0) {
          iarg_++;
          mass_temperature_ = atof(arg[iarg_++]);
          if(mass_temperature_ <= 0.)
            error->fix_error(FLERR,this,"mass_temperature > 0 expected");
          hasargs = true;
      }
    }
}

/* ---------------------------------------------------------------------- */

void FixMesh::handle_exclusion_list()
{
    // case read exclusion list
    if(read_exclusion_list_)
    {
        // read from exclusion list, only on proc 0
        if(element_exclusion_list_)
        {
            char read_string[200];
            while(fgets(read_string,200,element_exclusion_list_ ) != 0)
            {
                // remove trailing newline
                read_string[strcspn(read_string, "\r\n")] = 0; // works for LF, CR, CRLF, LFCR, ...
                // trim string
                strtrim(read_string);

                int line = force->inumeric(FLERR,read_string);
                memory->grow(exclusion_list_, size_exclusion_list_+1, "exclusion_list");
                exclusion_list_[size_exclusion_list_++] = line;
            }
        }
        // send size_exclusion_list_ to all procs
        MPI_Max_Scalar(size_exclusion_list_,world);
        if(0 < comm->me)
        {
            memory->grow(exclusion_list_, size_exclusion_list_, "exclusion_list");
            vectorZeroizeN(exclusion_list_,size_exclusion_list_);
        }
        MPI_Max_Vector(exclusion_list_,size_exclusion_list_,world);

        // sort
        if(size_exclusion_list_ > 0)
        {
            std::vector<int> sorted;
            for(int i = 0; i < size_exclusion_list_;i++)
                sorted.push_back(exclusion_list_[i]);
            sort(sorted.begin(),sorted.end());
            for(int i = 0; i < size_exclusion_list_;i++)
                exclusion_list_[i] = sorted[i];
        }
    }
}

/* ---------------------------------------------------------------------- */

FixMesh::~FixMesh()
{
    delete mesh_;
    if (element_exclusion_list_)
        fclose(element_exclusion_list_);

    if(exclusion_list_)
        memory->sfree(exclusion_list_);
}

/* ---------------------------------------------------------------------- */

void FixMesh::post_create()
{
    // check if all element property container have same length
    // could potentially be whacked by adding element properties
    // at the wrong place in code
    mesh_->check_element_property_consistency();

}

/* ---------------------------------------------------------------------- */

void FixMesh::create_mesh(char *mesh_fname, bool is_fix)
{

    if(strncmp(style,"mesh/surface",12) == 0)
    {
        if(strcmp(style,"mesh/surface/stress/deform") == 0)
            mesh_ = new TriMeshDeformable(lmp);
        else if(strcmp(style,"mesh/surface/planar") == 0)
            mesh_ = new TriMeshPlanar(lmp);
        else
            mesh_ = new TriMesh(lmp);

        // set properties that are important for reading
        mesh_->setMeshID(id);
        if(verbose_) mesh_->setVerbose();
        if(autoRemoveDuplicates_) mesh_->autoRemoveDuplicates();
        if(precision_ > 0.) mesh_->setPrecision(precision_);
        if(min_feature_length_ > 0.) mesh_->setMinFeatureLength(min_feature_length_);

        if (is_fix)
        {
            Fix *fix_base = modify->find_fix_id(mesh_fname);
            if (!fix_base)
                error->all(FLERR, "Could not find appropriate fix to read mesh data from");
            if (!fix_base->can_create_mesh())
                error->all(FLERR, "Supplied fix does not provide a mesh");
            const int tri_count = fix_base->getCreateMeshTriCount();
            if (tri_count == 0)
                error->all(FLERR, "Extruded triangle count is zero. Are you sure your fix mesh/surface has extrude_planar set");
            double **node;
            node = new double*[3];
            for (int i=0; i < tri_count*3; i++)
            {
                node[i%3] = fix_base->getCreateMeshTriNode(i);
                if (i%3 == 2)
                    static_cast<TriMesh*>(mesh_)->addElement(node, -1);
            }
            delete [] node;
        }
        else
        {
            // read file
            // can be from STL file or VTK file
            InputMeshTri *mesh_input = new InputMeshTri(lmp,0,NULL);

            // case write exlusion list
            if(!read_exclusion_list_ && element_exclusion_list_)
                mesh_->setElementExclusionList(element_exclusion_list_);

            mesh_input->meshtrifile(mesh_fname,static_cast<TriMesh*>(mesh_),verbose_,
                                    size_exclusion_list_,exclusion_list_,region_);

            delete mesh_input;
        }
    }
    else error->one(FLERR,"Illegal implementation of create_mesh();");
}

/* ---------------------------------------------------------------------- */

void FixMesh::create_mesh_restart(char *mesh_fname)
{

    if(strcmp(style,"mesh/surface/stress/deform") == 0)
        mesh_ = new TriMeshDeformable(lmp);
    else if(strcmp(style,"mesh/surface/planar") == 0)
        mesh_ = new TriMeshPlanar(lmp);
    else if(strncmp(style,"mesh/surface",12) == 0)
        mesh_ = new TriMesh(lmp);
    else error->one(FLERR,"Illegal implementation of create_mesh();");

    // test if file exists
    if (0 == comm->me)
    {
       char str[512];
       FILE * test = fopen(mesh_fname,"r");
       if(!test)
       {

          sprintf(str,"Cannot open mesh file %s. FYI: This file is required, but data will be taken from restart file",mesh_fname);
          error->one(FLERR,str);
       }
       else
       {
          sprintf(str,"INFO: mesh file (%s) is required, but data will be taken from restart file",mesh_fname);
          error->message(FLERR,str);
          fclose(test);
       }
    }

    // set properties that are important for reading
    mesh_->setMeshID(id);
    if(verbose_) mesh_->setVerbose();
    if(autoRemoveDuplicates_) mesh_->autoRemoveDuplicates();
    if(precision_ > 0.) mesh_->setPrecision(precision_);

    // case write exlusion list
    if(!read_exclusion_list_ && element_exclusion_list_)
        mesh_->setElementExclusionList(element_exclusion_list_);
}

/* ---------------------------------------------------------------------- */

void FixMesh::pre_delete(bool unfixflag)
{
    // error if moving mesh is operating on a mesh to be deleted

    // also error if dump is operating on mesh
    if(unfixflag)
    {
        const int n_move = modify->n_fixes_style("move/mesh");
        if(mesh_->isMoving() && n_move > 0)
        {
            for (int i = 0; i < n_move; i++) {
                const FixMoveMesh* fix_move = static_cast<FixMoveMesh*>(modify->find_fix_style_strict("move/mesh", i));
                if (fix_move->fixMeshCompare(this))
                {
                    std::string error_msg =
                            std::string("illegal unfix command, may not unfix a moving mesh while a fix move is applied to it. ") +
                            "Unfix the fix move/mesh first (id: " +
                            fix_move->id +
                            ")";
                    error->fix_error(FLERR,this,error_msg.c_str());
                }
            }
        }
    }
}

/* ---------------------------------------------------------------------- */

void FixMesh::init()
{
    FixBaseLiggghts::init();

    if(mass_temperature_ > 0.)
    {
        int max_type = atom->get_properties()->max_type();
        fix_capacity_ =
            static_cast<FixPropertyGlobal*>(modify->find_fix_property("thermalCapacity","property/global","peratomtype",max_type,0,style));

    }
}

/* ---------------------------------------------------------------------- */

int FixMesh::setmask()
{
    int mask = 0;
    mask |= PRE_EXCHANGE;
    mask |= PRE_FORCE;
    mask |= FINAL_INTEGRATE;
    return mask;
}

/* ---------------------------------------------------------------------- */

void FixMesh::setup_pre_force(int vflag)
{
    // first-time set-up

    if(!setupFlag_)
    {
        initialSetup();
        setupFlag_ = true;
    }
    // if mesh already set-up and parallelized

    else
    {
        mesh_->pbcExchangeBorders(1);
    }

    // clear reverse comm properties
    mesh_->clearReverse();

    pOpFlag_ = false;

}

/* ---------------------------------------------------------------------- */

void FixMesh::setup(int vflag)
{
    if(temperature_mesh_ > 1e-12)
        mesh_->prop().setGlobalProperty< ScalarContainer<double> >("Temp",temperature_mesh_);

    mesh_->reverseComm();
}

/* ---------------------------------------------------------------------- */

void FixMesh::initialSetup()
{

    mesh_->initialSetup();

    // warn if there are elements that extend outside box
    if(!mesh_->allNodesInsideSimulationBox() && 0 == comm->me)
       error->warning(FLERR,"Not all nodes of fix mesh inside simulation box, "
                            "elements will be deleted or wrapped around periodic boundary conditions");
    if(comm->me == 0)
       fprintf(screen,"Import and parallelization of mesh %s containing %d triangle(s) successful\n",
               id,mesh_->sizeGlobal());
}

/* ----------------------------------------------------------------------
   invoke parallelism
------------------------------------------------------------------------- */

void FixMesh::pre_exchange()
{

    pOpFlag_ = true;
}

/* ----------------------------------------------------------------------
   forward comm for mesh
------------------------------------------------------------------------- */

void FixMesh::pre_force(int vflag)
{
    // case re-neigh step
    if(pOpFlag_)
    {

        mesh_->pbcExchangeBorders(0);

        pOpFlag_ = false;
    }
    // case regular step
    else
    {
        mesh_->forwardComm();

        if(mesh_->decideRebuild())
        {

            next_reneighbor = update->ntimestep + 1;
        }
    }

    // clear reverse comm properties
    mesh_->clearReverse();
}

/* ----------------------------------------------------------------------
   reverse comm for mesh
------------------------------------------------------------------------- */

void FixMesh::final_integrate()
{

    mesh_->reverseComm();

    bool has_per_element_heattransfer = (0 == strcmp("mesh/surface",style) && 0 == strcmp("heattransfer", style));

    if(!has_per_element_heattransfer && mass_temperature_ > 0. && mesh_->prop().getGlobalProperty< ScalarContainer<double> >("Temp"))
    {
        double Temp_wall = (*mesh_->prop().getGlobalProperty< ScalarContainer<double> >("Temp"))(0);
        double flux = (*mesh_->prop().getGlobalProperty< ScalarContainer<double> >("heatFlux"))(0);
        MPI_Sum_Scalar(flux,world);
        double dt = update->dt;

        double capacity = fix_capacity_->compute_vector(atom_type_mesh_-1);
        Temp_wall += flux *  dt / (mass_temperature_*capacity);

        mesh_->prop().setGlobalProperty< ScalarContainer<double> >("Temp",Temp_wall);
        mesh_->prop().setGlobalProperty< ScalarContainer<double> >("heatFlux",0.);
    }
}

/* ---------------------------------------------------------------------- */

int FixMesh::min_type()
{
    if(atom_type_mesh_ == -1) return 1;
    return atom_type_mesh_;
}

/* ---------------------------------------------------------------------- */

int FixMesh::max_type()
{
    if(atom_type_mesh_ == -1) return 1;
    return atom_type_mesh_;
}

/* ----------------------------------------------------------------------
   moves the mesh by a vector - (dx dy dz) is the displacement vector
------------------------------------------------------------------------- */

void FixMesh::moveMesh(double const dx, double const dy, double const dz)
{
    if (comm->me == 0)
    {
      //fprintf(screen,"moving mesh by ");
      //fprintf(screen,"%f %f %f\n", dx,dy,dz);
    }

    const double arg[3] = {dx,dy,dz};
    mesh_->move(arg);
}

/* ----------------------------------------------------------------------
   rotates the mesh around an axis through the origin
   phi the rotation angle
   (axisX axisY axisZ) vector in direction of the axis
------------------------------------------------------------------------- */

void FixMesh::rotateMesh(double const axisX, double const axisY, double const axisZ, double const phi)
{
    double axis[3] = {axisX,axisY,axisZ}, p[3] = {0.,0.,0.};

    if(vectorMag3D(axis) < 1e-5)
        error->fix_error(FLERR,this,"illegal magnitude of rotation axis");

    if (comm->me == 0)
    {
      //fprintf(screen,"rotate ");
      //fprintf(screen,"%f %f %f %f\n", phi, axisX, axisY, axisZ);
    }

    mesh_->rotate(phi*3.14159265/180.0,axis,p);
}

/* ----------------------------------------------------------------------
   scales the mesh by a factor in x, y and z direction
   can also be used to distort a mesh
   (factorX factorY factorZ) vector contains the factors to scale the
   mesh in the xyz direction
------------------------------------------------------------------------- */

void FixMesh::scaleMesh(double const factor)
{
    if (comm->me == 0){
      //fprintf(screen,"scale ");
      //fprintf(screen,"%f \n", factor);
    }
    mesh_->scale(factor);
}

/* ----------------------------------------------------------------------
   pack entire state of Fix into one write
------------------------------------------------------------------------- */

void FixMesh::write_restart(FILE *fp)
{
    mesh_->writeRestart(fp);
}

/* ----------------------------------------------------------------------
   use state info from restart file to restart the Fix
------------------------------------------------------------------------- */

void FixMesh::restart(char *buf)
{
    double *list = (double *) buf;
    mesh_->restart(list);
}

/* ----------------------------------------------------------------------
   change box extent due to mesh node position
------------------------------------------------------------------------- */

void FixMesh::box_extent(double &xlo,double &xhi,double &ylo,double &yhi,double &zlo,double &zhi)
{
    double node[3];
    int size = mesh()->size();
    int numNodes = mesh()->numNodes();

    for(int i = 0; i < size; i++)
    {

        for(int j = 0; j < numNodes; j++)
        {
            mesh()->node_slow(i,j,node);
            xlo = std::min(xlo,node[0]);
            xhi = std::max(xhi,node[0]);
            ylo = std::min(ylo,node[1]);
            yhi = std::max(yhi,node[1]);
            zlo = std::min(zlo,node[2]);
            zhi = std::max(zhi,node[2]);
        }
    }
}

/* ---------------------------------------------------------------------- */

void FixMesh::move(const double * const dx, const FixMoveMesh * const caller)
{
    mesh_->move(dx);
    std::list<FixMoveMesh *>::iterator it;
    bool found = false;
    for (it = fixMoveMeshes_.begin(); it != fixMoveMeshes_.end(); it++)
    {
        if (*it == caller)
            found = true;
        if (found)
            (*it)->move(dx);
    }
}

/* ---------------------------------------------------------------------- */

void FixMesh::rotate(const double dphi, const double * const axis, const double * const center, const FixMoveMesh * const caller)
{
    mesh_->rotate(dphi, axis, center);
    std::list<FixMoveMesh *>::iterator it;
    bool found = false;
    for (it = fixMoveMeshes_.begin(); it != fixMoveMeshes_.end(); it++)
    {
        if (*it == caller)
            found = true;
        if (found)
            (*it)->rotate(dphi, axis, center);
    }
}