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// This file is part of ff3d - http://www.freefem.org/ff3d
// Copyright (C) 2001, 2002, 2003 Stphane Del Pino
// 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: Structured3DMesh.cpp,v 1.15 2007/04/01 23:49:09 delpinux Exp $
// This class allow to Manipulate 3D Scalar Variable.
#include <fstream>
#include <cmath>
#include <ConnectivityBuilder.hpp>
#include <CartesianHexahedron.hpp>
#include <Structured3DMesh.hpp>
#include <Scene.hpp>
#include <FacesBuilder.hpp>
#include <EdgesBuilder.hpp>
void Structured3DMesh::
buildEdges()
{
EdgesBuilder<Structured3DMesh> edgesBuilder(*this);
__edgesSet = edgesBuilder.edgesSet();
}
void Structured3DMesh::
buildFaces()
{
FacesBuilder<Structured3DMesh> facesBuilder(*this);
__facesSet = facesBuilder.facesSet();
}
/*!
Constructs a Structured3DMesh 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.
*/
Structured3DMesh::
Structured3DMesh(const Structured3DMeshShape& SMShape,
ReferenceCounting<VerticesCorrespondance> correspondances)
: Mesh(Mesh::cartesianHexahedraMesh,
Mesh::volume,
new VerticesSet(SMShape.numberOfVertices()),
correspondances),
__verticesShape(SMShape),
__cellShape(__verticesShape.shape()-1),
__cells(SMShape.numberOfCells()),
__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 nx = __verticesShape.nx();
const size_t ny = __verticesShape.ny();
const size_t nz = __verticesShape.nz();
const size_t nx_1 = __cellShape.nx();
const size_t ny_1 = __cellShape.ny();
const size_t nz_1 = __cellShape.nz();
for (size_t i=0; i<nx; i++) {
real_t wi0 = static_cast<real_t>(i) / static_cast<real_t>(nx_1);
real_t wi1 = static_cast<real_t>(nx_1-i) / static_cast<real_t>(nx_1);;
for (size_t j=0; j<ny; j++) {
real_t wj0 = static_cast<real_t>(j) / static_cast<real_t>(ny_1);
real_t wj1 = static_cast<real_t>(ny_1-j) / static_cast<real_t>(ny_1);
for (size_t k=0; k<nz; k++) {
real_t wk0 = static_cast<real_t>(k) / static_cast<real_t>(nz_1);
real_t wk1 = static_cast<real_t>(nz_1-k)/static_cast<real_t>(nz_1);
Vertex& v = vertex(i,j,k);
v.x() = wi0 * __verticesShape.b(0) + wi1 * __verticesShape.a(0);
v.y() = wj0 * __verticesShape.b(1) + wj1 * __verticesShape.a(1);
v.z() = wk0 * __verticesShape.b(2) + wk1 * __verticesShape.a(2);
}
}
}
// 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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