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// This file is part of ff3d - http://www.freefem.org/ff3d
// Copyright (C) 2007 Stphane Del Pino&Driss Yakoui
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 2, or (at your option)
// any later version.
// This program 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 General Public License for more details.
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software Foundation,
// Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
// $Id: SpectralMesh.cpp,v 1.4 2007/05/03 18:41:44 yakoubix Exp $
// This class allow to Manipulate 3D Scalar Variable.
#include <fstream>
#include <cmath>
#include <ConnectivityBuilder.hpp>
#include <CartesianHexahedron.hpp>
#include <SpectralMesh.hpp>
#include <Scene.hpp>
#include <FacesBuilder.hpp>
#include <EdgesBuilder.hpp>
#include <GaussLobatto.hpp>
#include <SpectralConformTransformation.hpp>
void SpectralMesh::
buildEdges()
{
EdgesBuilder<SpectralMesh> edgesBuilder(*this);
__edgesSet = edgesBuilder.edgesSet();
}
void SpectralMesh::
buildFaces()
{
FacesBuilder<SpectralMesh> facesBuilder(*this);
__facesSet = facesBuilder.facesSet();
}
/*!
Constructs a SpectralMesh using \a n0 along the X-axis, \a n1 along
the Y-axis and \a n2 along the Z-axis. The vertices \a v0 and \a v1 are two
opposed corners of the mesh, and the edges of the mesh are parallel to the
axis.
*/
SpectralMesh::
SpectralMesh(const Structured3DMeshShape& degrees,
ReferenceCounting<VerticesCorrespondance> correspondances)
: Mesh(Mesh::spectralMesh,
Mesh::volume,
new VerticesSet((degrees.shape().nx()+2)*(degrees.shape().ny()+2)*(degrees.shape().nz()+2)),
correspondances),
__degrees(degrees.shape().nx(),degrees.shape().ny(),degrees.shape().nz()),
__verticesShape(degrees.shape().nx()+2,degrees.shape().ny()+2,degrees.shape().nz()+2, degrees.a(), degrees.b()),
__cellShape(degrees.shape().nx()+1,degrees.shape().ny()+1,degrees.shape().nz()+1),
__cells((degrees.shape().nx()+1)*(degrees.shape().ny()+1)*(degrees.shape().nz()+1)),
__facesSet(0),
__connectivity(*this)
{
// w[ijk][01] variable respresent the coefficient needed to
// compute vertices position between a and b.
// for example wj1 is the weight computed for the jth point in the
// 'y' direction for v1
// const size_t degreeX = degrees.shape().nx();
// const size_t degreeY = degrees.shape().ny();
// const size_t degreeZ = degrees.shape().nz();
const size_t degreeX = degrees.nx();
const size_t degreeY = degrees.ny();
const size_t degreeZ = degrees.nz();
const size_t nx_1 = __cellShape.nx();
const size_t ny_1 = __cellShape.ny();
const size_t nz_1 = __cellShape.nz();
Interval intervalX(__verticesShape.a()[0],__verticesShape.b()[0]) ;
Interval intervalY(__verticesShape.a()[1],__verticesShape.b()[1]) ;
Interval intervalZ(__verticesShape.a()[2],__verticesShape.b()[2]) ;
GaussLobatto gaussLobattoX(degreeX+1);
GaussLobatto gaussLobattoY(degreeY+1);
GaussLobatto gaussLobattoZ(degreeZ+1);
SpectralConformTransformation transformationX(intervalX);
SpectralConformTransformation transformationY(intervalY);
SpectralConformTransformation transformationZ(intervalZ);
for (size_t i=0; i<__verticesShape.nx(); i++) {
for (size_t j=0; j<__verticesShape.ny(); j++) {
for (size_t k=0; k<__verticesShape.nz(); k++) {
Vertex& v = vertex(i,j,k);
v.x() = transformationX(gaussLobattoX(i));
v.y() = transformationY(gaussLobattoY(j));
v.z() = transformationZ(gaussLobattoZ(k));
}
}
}
// Generating Mesh's cells.
// As Cells generation needs Vertices's references
// This must be done after.
size_t n=0;
for (size_t i=0; i<nx_1; i++) {
for (size_t j=0; j<ny_1; j++) {
for (size_t k=0; k<nz_1; k++) {
__cells[n] = CartesianHexahedron(vertex( i, j, k),
vertex(i+1, j, k),
vertex(i+1,j+1, k),
vertex( i,j+1, k),
vertex( i, j,k+1),
vertex(i+1, j,k+1),
vertex(i+1,j+1,k+1),
vertex( i,j+1,k+1));
n++;
}
}
}
/**
* Now generates boundary meshes
*
*/
Vector<Quadrangle>* pQuadrangles
= new Vector<Quadrangle>(2*ny_1*nz_1+2*nx_1*nz_1+2*nx_1*ny_1);
Vector<Quadrangle>& quadrangles = *pQuadrangles;
size_t currentCell = 0;
/// x=xmin
for (size_t j=0; j<ny_1; j++) {
for (size_t k=0; k<nz_1; k++) {
const Vertex& V0 = vertex(0, j, k);
const Vertex& V1 = vertex(0, j,k+1);
const Vertex& V2 = vertex(0,j+1,k+1);
const Vertex& V3 = vertex(0,j+1, k);
Quadrangle& Q = quadrangles[currentCell];
Q = Quadrangle(V0, V1, V2, V3, 0);
Q.setMother(&(cell(0,j,k)),4);
currentCell++;
}
}
/// x=xmax
for (size_t j=0; j<ny_1; j++) {
for (size_t k=0; k<nz_1; k++) {
const Vertex& V0 = vertex(nx_1, j, k);
const Vertex& V1 = vertex(nx_1,j+1, k);
const Vertex& V2 = vertex(nx_1,j+1,k+1);
const Vertex& V3 = vertex(nx_1, j,k+1);
Quadrangle& Q = quadrangles[currentCell];
Q = Quadrangle(V0, V1, V2, V3, 1);
Q.setMother(&(cell(nx_1-1,j,k)),2);
currentCell++;
}
}
/// y=ymin
for (size_t i=0; i<nx_1; i++) {
for (size_t k=0; k<nz_1; k++) {
const Vertex& V0 = vertex( i,0, k);
const Vertex& V1 = vertex(i+1,0, k);
const Vertex& V2 = vertex(i+1,0,k+1);
const Vertex& V3 = vertex( i,0,k+1);
Quadrangle& Q = quadrangles[currentCell];
Q = Quadrangle(V0, V1, V2, V3, 2);
Q.setMother(&(cell(i,0,k)),1);
currentCell++;
}
}
/// y=ymax
for (size_t i=0; i<nx_1; i++) {
for (size_t k=0; k<nz_1; k++) {
const Vertex& V0 = vertex( i,ny_1, k);
const Vertex& V1 = vertex( i,ny_1,k+1);
const Vertex& V2 = vertex(i+1,ny_1,k+1);
const Vertex& V3 = vertex(i+1,ny_1, k);
Quadrangle& Q = quadrangles[currentCell];
Q = Quadrangle(V0, V1, V2, V3, 3);
Q.setMother(&(cell(i,ny_1-1,k)),3);
currentCell++;
}
}
/// z=zmin
for (size_t i=0; i<nx_1; i++) {
for (size_t j=0; j<ny_1; j++) {
const Vertex& V0 = vertex( i, j,0);
const Vertex& V1 = vertex( i,j+1,0);
const Vertex& V2 = vertex(i+1,j+1,0);
const Vertex& V3 = vertex(i+1, j,0);
Quadrangle& Q = quadrangles[currentCell];
Q = Quadrangle(V0, V1, V2, V3, 4);
Q.setMother(&(cell(i,j,0)),0);
currentCell++;
}
}
/// z=zmax
for (size_t i=0; i<nx_1; i++) {
for (size_t j=0; j<ny_1; j++) {
const Vertex& V0 = vertex( i, j,nz_1);
const Vertex& V1 = vertex(i+1, j,nz_1);
const Vertex& V2 = vertex(i+1,j+1,nz_1);
const Vertex& V3 = vertex( i,j+1,nz_1);
Quadrangle& Q = quadrangles[currentCell];
Q = Quadrangle(V0, V1, V2, V3, 5);
Q.setMother(&(cell(i,j,nz_1-1)),5);
currentCell++;
}
}
__surfaceMesh = new SurfaceMeshOfQuadrangles(__verticesSet,
__verticesCorrespondance,
pQuadrangles);
(*__surfaceMesh).setBackgroundMesh(this);
}
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