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FEMultiBlockMesh.cpp
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/*This file is part of the FEBio Studio source code and is licensed under the MIT license
listed below.
See Copyright-FEBio-Studio.txt for details.
Copyright (c) 2021 University of Utah, The Trustees of Columbia University in
the City of New York, and others.
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.*/
#include "stdafx.h"
#include "FEMultiBlockMesh.h"
#include <MeshLib/FEMesh.h>
#include <MeshLib/FENodeNodeList.h>
#include <GeomLib/geom.h>
void MBBlock::SetNodes(int n1,int n2,int n3,int n4,int n5,int n6,int n7,int n8)
{
m_node[0] = n1;
m_node[1] = n2;
m_node[2] = n3;
m_node[3] = n4;
m_node[4] = n5;
m_node[5] = n6;
m_node[6] = n7;
m_node[7] = n8;
}
MBBlock& MBBlock::SetZoning(double gx, double gy, double gz, bool bx, bool by, bool bz)
{
m_gx = gx;
m_gy = gy;
m_gz = gz;
m_bx = bx;
m_by = by;
m_bz = bz;
return *this;
}
//-----------------------------------------------------------------------------
//-----------------------------------------------------------------------------
FEMultiBlockMesh::FEMultiBlockMesh()
{
m_pm = nullptr;
m_elemType = FE_HEX8;
}
//-----------------------------------------------------------------------------
FEMultiBlockMesh::~FEMultiBlockMesh(void)
{
}
//-----------------------------------------------------------------------------
void FEMultiBlockMesh::SetElementType(int elemType)
{
assert((m_elemType == FE_HEX8) || (m_elemType == FE_HEX20) || (m_elemType == FE_HEX27));
m_elemType = elemType;
m_quadMesh = (elemType != FE_HEX8);
}
//-----------------------------------------------------------------------------
// build the FE mesh
//
FEMesh* FEMultiBlockMesh::BuildMesh()
{
if ((m_elemType != FE_HEX8) && (m_elemType != FE_HEX20) && (m_elemType != FE_HEX27))
{
assert(false);
return nullptr;
}
m_quadMesh = (m_elemType != FE_HEX8);
// create a new mesh
FEMesh* pm = new FEMesh();
m_pm = pm;
// clear the node lists
for (int i = 0; i < m_MBNode.size(); ++i) m_MBNode[i].m_fenodes.clear();
for (int i = 0; i < m_MBEdge.size(); ++i) m_MBEdge[i].m_fenodes.clear();
for (int i = 0; i < m_MBFace.size(); ++i) m_MBFace[i].m_fenodes.clear();
for (int i = 0; i < m_MBlock.size(); ++i) m_MBlock[i].m_fenodes.clear();
// update face geometry data
for (int i = 0; i < m_MBFace.size(); ++i)
{
MBFace& f = m_MBFace[i];
// see if this face is a sphere
// it is assumed a sphere if all edges are 3P arcs with the same center node
f.m_isSphere = true;
f.m_sphereRadius = 0;
f.m_sphereCenter = vec3d(0, 0, 0);
int c0 = m_MBEdge[f.m_edge[0]].edge.m_cnode;
for (int j = 0; j < 4; ++j)
{
MBEdge& edgej = m_MBEdge[f.m_edge[j]];
if ((edgej.edge.m_ntype != EDGE_3P_CIRC_ARC) || (edgej.edge.m_cnode != c0))
{
f.m_isSphere = false;
break;
}
}
if (f.m_isSphere)
{
// we assume that the corner nodes are already on the sphere
vec3d r0 = m_MBNode[f.m_node[0]].m_r;
f.m_sphereCenter = m_MBNode[c0].m_r;
f.m_sphereRadius = (r0 - f.m_sphereCenter).Length();
}
// see if it is a revolved surface
f.m_isRevolve = false;
f.m_nrevolveEdge = -1;
if ((m_MBEdge[f.m_edge[0]].edge.m_ntype == EDGE_ZARC) &&
(m_MBEdge[f.m_edge[2]].edge.m_ntype == EDGE_ZARC))
{
f.m_isRevolve = true;
f.m_nrevolveEdge = 1;
}
if ((m_MBEdge[f.m_edge[1]].edge.m_ntype == EDGE_ZARC) &&
(m_MBEdge[f.m_edge[3]].edge.m_ntype == EDGE_ZARC))
{
f.m_isRevolve = true;
f.m_nrevolveEdge = 0;
}
}
// build the mesh
BuildFENodes(pm);
BuildFEEdges(pm);
BuildFEFaces(pm);
BuildFEElements(pm);
assert(pm->Nodes() == m_nodes);
// update the mesh
pm->BuildMesh();
return pm;
}
//-----------------------------------------------------------------------------
vec3d FEMultiBlockMesh::EdgePosition(MBEdge& e, const MQPoint& q)
{
double r = q.m_r;
vec3d r1 = m_MBNode[e.Node(0)].m_r;
vec3d r2 = m_MBNode[e.Node(1)].m_r;
vec3d p;
switch (e.edge.Type())
{
case EDGE_LINE:
p = r1 * (1 - r) + r2 * r;
break;
case EDGE_ZARC:
{
vec2d c(0, 0);
vec2d a(r1.x, r1.y);
vec2d b(r2.x, r2.y);
// create an arc object
GM_CIRCLE_ARC ca(c, a, b, e.m_winding);
vec2d q = ca.Point(r);
p = vec3d(q.x(), q.y(), r1.z);
}
break;
case EDGE_3P_CIRC_ARC:
{
vec3d r0 = m_MBNode[e.edge.m_cnode].m_r;
vec3d r1 = m_MBNode[e.edge.m_node[0]].m_r;
vec3d r2 = m_MBNode[e.edge.m_node[1]].m_r;
GM_CIRCLE_3P_ARC c(r0, r1, r2, e.m_winding);
p = c.Point(r);
}
break;
default:
assert(false);
}
return p;
}
//-----------------------------------------------------------------------------
vec3d FEMultiBlockMesh::FacePosition(MBFace& F, const MQPoint& q)
{
vec3d r1 = m_MBNode[F.m_node[0]].m_r;
vec3d r2 = m_MBNode[F.m_node[1]].m_r;
vec3d r3 = m_MBNode[F.m_node[2]].m_r;
vec3d r4 = m_MBNode[F.m_node[3]].m_r;
/*
// linear interpolation
N1 = (1-r)*(1-s);
N2 = r*(1-s);
N3 = r*s;
N4 = (1-r)*s;
pn->r = r1*N1 + r2*N2 + r3*N3 + r4*N4;
*/
// transfinite interpolation
double r = q.m_r;
double s = q.m_s;
double N1 = (1 - r) * (1 - s);
double N2 = r * (1 - s);
double N3 = r * s;
double N4 = (1 - r) * s;
int mx = F.m_mx;
int my = F.m_my;
int i = q.m_i;
int j = q.m_j;
// get edge points
vec3d e[4];
e[0] = m_pm->Node(GetFaceEdgeNodeIndex(F, 0, i)).r;
e[1] = m_pm->Node(GetFaceEdgeNodeIndex(F, 1, j)).r;
e[2] = m_pm->Node(GetFaceEdgeNodeIndex(F, 2, mx - i - 1)).r;
e[3] = m_pm->Node(GetFaceEdgeNodeIndex(F, 3, my - j - 1)).r;
vec3d p = e[0] * (1 - s) + e[1] * r + e[2] * s + e[3] * (1 - r) \
- (r1 * N1 + r2 * N2 + r3 * N3 + r4 * N4);
// if this point should be on a sphere, project it to the sphere
if (F.m_isSphere)
{
vec3d t = p - F.m_sphereCenter; t.Normalize();
p = F.m_sphereCenter + t * F.m_sphereRadius;
}
if (F.m_isRevolve)
{
vec2d c(e[F.m_nrevolveEdge].x, e[F.m_nrevolveEdge].y);
double R = c.norm();
double z = p.z;
p.z = 0;
p.Normalize();
p.x *= R;
p.y *= R;
p.z = z;
}
return p;
}
//-----------------------------------------------------------------------------
vec3d FEMultiBlockMesh::BlockPosition(MBBlock& B, const MQPoint& q)
{
double r = q.m_r;
double s = q.m_s;
double t = q.m_t;
double N1 = (1 - r) * (1 - s) * (1 - t);
double N2 = r * (1 - s) * (1 - t);
double N3 = r * s * (1 - t);
double N4 = (1 - r) * s * (1 - t);
double N5 = (1 - r) * (1 - s) * t;
double N6 = r * (1 - s) * t;
double N7 = r * s * t;
double N8 = (1 - r) * s * t;
vec3d r1 = m_MBNode[B.m_node[0]].m_r;
vec3d r2 = m_MBNode[B.m_node[1]].m_r;
vec3d r3 = m_MBNode[B.m_node[2]].m_r;
vec3d r4 = m_MBNode[B.m_node[3]].m_r;
vec3d r5 = m_MBNode[B.m_node[4]].m_r;
vec3d r6 = m_MBNode[B.m_node[5]].m_r;
vec3d r7 = m_MBNode[B.m_node[6]].m_r;
vec3d r8 = m_MBNode[B.m_node[7]].m_r;
// tri-linear interpolation
// pn->r = r1*N1 + r2*N2 + r3*N3 + r4*N4 + r5*N5 + r6*N6 + r7*N7 + r8*N8;
int mx = B.m_mx;
int my = B.m_my;
int mz = B.m_mz;
int i = q.m_i;
int j = q.m_j;
int k = q.m_k;
// transfinite interpolation
vec3d f1 = m_pm->Node(GetBlockFaceNodeIndex(B, 4, i, my - j - 1)).r;
vec3d f2 = m_pm->Node(GetBlockFaceNodeIndex(B, 0, i, k)).r;
vec3d f3 = m_pm->Node(GetBlockFaceNodeIndex(B, 3, my - j - 1, k)).r;
vec3d f4 = m_pm->Node(GetBlockFaceNodeIndex(B, 5, i, j)).r;
vec3d f5 = m_pm->Node(GetBlockFaceNodeIndex(B, 2, mx - i - 1, k)).r;
vec3d f6 = m_pm->Node(GetBlockFaceNodeIndex(B, 1, j, k)).r;
vec3d p = (f1 * (1 - t) + f2 * (1 - s) + f3 * (1 - r) + f4 * t + f5 * s + f6 * r \
- (r1 * N1 + r2 * N2 + r3 * N3 + r4 * N4 + r5 * N5 + r6 * N6 + r7 * N7 + r8 * N8)) * 0.5;
return p;
}
//-----------------------------------------------------------------------------
int FEMultiBlockMesh::AddFENode(const vec3d& r, int gid)
{
m_currentNode->r = r;
m_currentNode->m_gid = gid;
m_currentNode++;
m_nodes++;
return m_nodes - 1;
}
//-----------------------------------------------------------------------------
// build the FE nodes
//
void FEMultiBlockMesh::BuildFENodes(FEMesh *pm)
{
int NB = m_MBlock.size();
int NF = m_MBFace.size();
int NE = m_MBEdge.size();
int NN = m_MBNode.size();
// now, let's count the nodes
int nodes = 0;
for (int i = 0; i < NN; ++i)
{
MBNode& N = m_MBNode[i];
if (N.m_type != NODE_SHAPE)
nodes += 1;
}
for (int i = 0; i < NE; ++i)
{
MBEdge& E = m_MBEdge[i];
nodes += (m_quadMesh ? 2*E.m_nx - 1 : E.m_nx -1 );
}
for (int i = 0; i < NF; ++i)
{
MBFace& F = m_MBFace[i];
switch (m_elemType)
{
case FE_HEX8 : nodes += (F.m_nx - 1) * (F.m_ny - 1); break;
case FE_HEX20: nodes += (F.m_nx - 1) * (F.m_ny - 1) + (F.m_nx - 1)*F.m_ny + (F.m_ny - 1)*F.m_nx; break;
case FE_HEX27: nodes += (2*F.m_nx - 1) * (2*F.m_ny - 1); break;
}
}
for (int i=0; i<NB; ++i)
{
MBBlock& B = m_MBlock[i];
switch (m_elemType)
{
case FE_HEX8 : nodes += (B.m_nx - 1) * (B.m_ny - 1) * (B.m_nz - 1); break;
case FE_HEX20:
nodes += (B.m_nx - 1) * (B.m_ny - 1) * (B.m_nz - 1);
nodes += (B.m_nz - 1) * (B.m_nx - 1) * B.m_ny;
nodes += (B.m_nz - 1) * (B.m_ny - 1) * B.m_nx;
nodes += B.m_nz * (B.m_nx - 1) * (B.m_ny - 1);
break;
case FE_HEX27: nodes += (2*B.m_nx - 1) * (2*B.m_ny - 1) * (2*B.m_nz - 1); break;
}
}
// create storage
pm->Create(nodes, 0);
m_currentNode = pm->NodePtr();
m_nodes = 0;
// A. create the nodes
// A.1. add all MB nodes
for (int i=0; i<NN; ++i)
{
MBNode& node = m_MBNode[i];
if (node.m_type != NODE_SHAPE)
{
node.m_ntag = AddFENode(node.m_r, node.m_gid);
node.m_fenodes.push_back(node.m_ntag);
}
else node.m_ntag = -1;
}
}
//-----------------------------------------------------------------------------
int FEMultiBlockMesh::AddFEEdgeNode(MBEdge& E, const MQPoint& q)
{
int i = q.m_i;
int n = E.m_fenodes[i];
if (i == 0) n = m_MBNode[E.Node(0)].m_ntag;
else if (i == E.m_fenodes.size() - 1) n = m_MBNode[E.Node(1)].m_ntag;
else if (E.m_fenodes[i] == -1)
{
vec3d p = EdgePosition(E, q);
n = AddFENode(p);
}
if (E.m_fenodes[i] == -1) E.m_fenodes[i] = n;
assert(E.m_fenodes[i] == n);
return n;
}
//-----------------------------------------------------------------------------
// Build the FE edges
//
void FEMultiBlockMesh::BuildFEEdges(FEMesh* pm)
{
// count edges
int edges = 0;
for (int i = 0; i < (int)m_MBEdge.size(); ++i)
{
MBEdge& e = m_MBEdge[i];
if (e.m_gid >= 0)
edges += e.m_nx;
}
// allocate faces
pm->Create(0, 0, 0, edges);
// build the edges
FEEdge* pe = pm->EdgePtr();
for (int k = 0; k < (int)m_MBEdge.size(); ++k)
{
MBEdge& e = m_MBEdge[k];
e.m_ntag = edges;
// allocate fenodes array
e.m_mx = (m_quadMesh ? 2 * e.m_nx + 1 : e.m_nx + 1);
e.m_fenodes.assign(e.m_mx, -1);
// discretize edge
Sampler1D dx(e.m_nx, e.m_gx, e.m_bx);
int n = 0;
int nn = (m_quadMesh ? 2 : 1);
int en[3];
for (int i = 0; i < e.m_nx; ++i)
{
double r = dx.value();
double dr = dx.increment();
en[0] = AddFEEdgeNode(e, MQPoint(n, r));
if (m_quadMesh)
{
// Note that we insert the middle node before the right edge node!
en[2] = AddFEEdgeNode(e, MQPoint(n + 1, r + 0.5 * dr));
}
else en[2] = -1;
en[1] = AddFEEdgeNode(e, MQPoint(n + nn, r + dr));
if (e.m_gid >= 0)
{
pe->m_gid = e.m_gid;
pe->SetType(m_quadMesh ? FE_EDGE3 : FE_EDGE2);
pe->n[0] = en[0];
pe->n[1] = en[1];
pe->n[2] = en[2];
pe++;
edges++;
}
dx.advance();
n += nn;
}
}
}
//-----------------------------------------------------------------------------
int FEMultiBlockMesh::AddFEFaceNode(MBFace& F, const MQPoint& q)
{
int i = q.m_i;
int j = q.m_j;
int mx = F.m_mx;
int my = F.m_my;
if (j == 0 ) return GetFaceEdgeNodeIndex(F, 0, i);
else if (i == mx - 1) return GetFaceEdgeNodeIndex(F, 1, j);
else if (j == my - 1) return GetFaceEdgeNodeIndex(F, 2, mx - i - 1);
else if (i == 0 ) return GetFaceEdgeNodeIndex(F, 3, my - j - 1);
else
{
int n = j * mx + i;
if (F.m_fenodes[n] == -1)
{
vec3d p = FacePosition(F, q);
F.m_fenodes[n] = AddFENode(p);
}
return F.m_fenodes[n];
}
assert(false);
return -1;
}
//-----------------------------------------------------------------------------
// Build the FE faces
//
void FEMultiBlockMesh::BuildFEFaces(FEMesh* pm)
{
// count faces
int faces = 0;
int n1, n2;
for (int i = 0; i < (int)m_MBFace.size(); ++i)
{
MBFace& f = m_MBFace[i];
if (f.m_gid >= 0)
{
faces += f.m_nx * f.m_ny;
}
}
// allocate faces
pm->Create(0, 0, faces);
// A.3. add all face nodes
int fn[9] = { -1, -1, -1, -1, -1, -1, -1, -1, -1 };
faces = 0;
for (int n = 0; n < (int)m_MBFace.size(); ++n)
{
MBFace& F = m_MBFace[n];
F.m_ntag = (F.m_gid >= 0 ? faces : -1);
F.m_mx = (m_quadMesh ? (2 * F.m_nx + 1) : F.m_nx + 1);
F.m_my = (m_quadMesh ? (2 * F.m_ny + 1) : F.m_ny + 1);
int nf = F.m_mx*F.m_my;
F.m_fenodes.assign(nf, -1);
int nx = F.m_nx;
int ny = F.m_ny;
Sampler1D dx(nx, F.m_gx, F.m_bx);
Sampler1D dy(ny, F.m_gy, F.m_by);
int nn = (m_quadMesh ? 2 : 1);
int nj = 0;
for (int j = 0; j < ny; ++j)
{
dx.reset();
double r = dx.value();
double dr = dx.increment();
double s = dy.value();
double ds = dy.increment();
int ni = 0;
for (int i = 0; i < nx; ++i)
{
r = dx.value();
dr = dx.increment();
fn[0] = AddFEFaceNode(F, MQPoint(ni, nj, r, s));
fn[1] = AddFEFaceNode(F, MQPoint(ni + nn, nj, r + dr, s));
fn[2] = AddFEFaceNode(F, MQPoint(ni + nn, nj + nn, r + dr, s + ds));
fn[3] = AddFEFaceNode(F, MQPoint(ni, nj + nn, r, s + ds));
if (m_quadMesh)
{
fn[4] = AddFEFaceNode(F, MQPoint(ni + 1, nj, r + 0.5 * dr, s));
fn[5] = AddFEFaceNode(F, MQPoint(ni + 2, nj + 1, r + dr, s + 0.5 * ds));
fn[6] = AddFEFaceNode(F, MQPoint(ni + 1, nj + 2, r + 0.5 * dr, s + ds));
fn[7] = AddFEFaceNode(F, MQPoint(ni, nj + 1, r, s + 0.5 * ds));
if (m_elemType == FE_HEX27)
fn[8] = AddFEFaceNode(F, MQPoint(ni + 1, nj + 1, r + 0.5 * dr, s + 0.5 * ds));
}
if (F.m_gid >= 0)
{
FEFace* pf = pm->FacePtr(faces++);
pf->m_gid = F.m_gid;
pf->m_sid = (F.m_sid < 0 ? F.m_gid : F.m_sid);
switch (m_elemType)
{
case FE_HEX8 : pf->SetType(FE_FACE_QUAD4); break;
case FE_HEX20: pf->SetType(FE_FACE_QUAD8); break;
case FE_HEX27: pf->SetType(FE_FACE_QUAD9); break;
};
for (int k = 0; k < 9; k++) pf->n[k] = fn[k];
}
dx.advance();
ni += nn;
}
dy.advance();
nj += nn;
}
}
}
//-----------------------------------------------------------------------------
int FEMultiBlockMesh::AddFEElemNode(MBBlock& B, const MQPoint& q)
{
int mx = B.m_mx, my = B.m_my, mz = B.m_mz;
int i = q.m_i, j = q.m_j, k = q.m_k;
if (i == 0)
{
return GetBlockFaceNodeIndex(B, 3, my - j - 1, k);
}
else if (i == mx-1)
{
return GetBlockFaceNodeIndex(B, 1, j, k);
}
else if (j == 0)
{
return GetBlockFaceNodeIndex(B, 0, i, k);
}
else if (j == my-1)
{
return GetBlockFaceNodeIndex(B, 2, mx - i - 1, k);
}
else if (k == 0)
{
return GetBlockFaceNodeIndex(B, 4, i, my - j - 1);
}
else if (k == mz-1)
{
return GetBlockFaceNodeIndex(B, 5, i, j);
}
else
{
int n = k*mx*my + j * mx + i;
if (B.m_fenodes[n] == -1)
{
vec3d p = BlockPosition(B, q);
B.m_fenodes[n] = AddFENode(p);
}
return B.m_fenodes[n];
}
}
//-----------------------------------------------------------------------------
// build the FE elements
//
void FEMultiBlockMesh::BuildFEElements(FEMesh* pm)
{
int NB = m_MBlock.size();
// figure out how many elements we have
int elems = 0;
for (int i=0; i<NB; ++i)
{
MBBlock& B = m_MBlock[i];
elems += B.m_nx*B.m_ny*B.m_nz;
}
// allocate elements
pm->Create(0, elems);
// create the elements
int eid = 0;
for (int l=0; l<NB; ++l)
{
MBBlock& b = m_MBlock[l];
b.m_ntag = m_nodes;
int nx = b.m_nx;
int ny = b.m_ny;
int nz = b.m_nz;
b.m_mx = (m_quadMesh ? (2 * b.m_nx + 1) : b.m_nx + 1);
b.m_my = (m_quadMesh ? (2 * b.m_ny + 1) : b.m_ny + 1);
b.m_mz = (m_quadMesh ? (2 * b.m_nz + 1) : b.m_nz + 1);
int nb = b.m_mx * b.m_my * b.m_mz;
b.m_fenodes.assign(nb, -1);
Sampler1D dx(nx, b.m_gx, b.m_bx);
Sampler1D dy(ny, b.m_gy, b.m_by);
Sampler1D dz(ny, b.m_gy, b.m_by);
int nn = (m_quadMesh ? 2 : 1);
int nk = 0;
for (int k=0; k<nz; ++k)
{
dx.reset();
dy.reset();
double r = dx.value(); double dr = dx.increment();
double s = dy.value(); double ds = dy.increment();
double t = dz.value(); double dt = dz.increment();
int nj = 0;
for (int j=0; j<ny; ++j)
{
dx.reset();
double r = dx.value(); double dr = dx.increment();
double s = dy.value(); double ds = dy.increment();
int ni = 0;
for (int i=0; i<nx; ++i)
{
FEElement_* pe = pm->ElementPtr(eid++);
pe->m_gid = b.m_gid;
pe->SetType(m_elemType);
double r = dx.value();
double dr = dx.increment();
pe->m_node[0] = AddFEElemNode(b, MQPoint(ni , nj , nk , r , s , t ));
pe->m_node[1] = AddFEElemNode(b, MQPoint(ni + nn, nj , nk , r + dr, s , t ));
pe->m_node[2] = AddFEElemNode(b, MQPoint(ni + nn, nj + nn, nk , r + dr, s + ds, t ));
pe->m_node[3] = AddFEElemNode(b, MQPoint(ni , nj + nn, nk , r , s + ds, t ));
pe->m_node[4] = AddFEElemNode(b, MQPoint(ni , nj , nk + nn, r , s , t + dt));
pe->m_node[5] = AddFEElemNode(b, MQPoint(ni + nn, nj , nk + nn, r + dr, s , t + dt));
pe->m_node[6] = AddFEElemNode(b, MQPoint(ni + nn, nj + nn, nk + nn, r + dr, s + ds, t + dt));
pe->m_node[7] = AddFEElemNode(b, MQPoint(ni , nj + nn, nk + nn, r , s + ds, t + dt));
if (m_elemType != FE_HEX8)
{
pe->m_node[ 8] = AddFEElemNode(b, MQPoint(ni + 1, nj , nk , r + 0.5*dr, s , t ));
pe->m_node[ 9] = AddFEElemNode(b, MQPoint(ni + 2, nj + 1, nk , r + dr, s + 0.5*ds, t ));
pe->m_node[10] = AddFEElemNode(b, MQPoint(ni + 1, nj + 2, nk , r + 0.5*dr, s + ds, t ));
pe->m_node[11] = AddFEElemNode(b, MQPoint(ni , nj + 1, nk , r , s + 0.5*ds, t ));
pe->m_node[12] = AddFEElemNode(b, MQPoint(ni + 1, nj , nk + 2, r + 0.5*dr, s , t + dt ));
pe->m_node[13] = AddFEElemNode(b, MQPoint(ni + 2, nj + 1, nk + 2, r + dr, s + 0.5*ds, t + dt ));
pe->m_node[14] = AddFEElemNode(b, MQPoint(ni + 1, nj + 2, nk + 2, r + 0.5*dr, s + ds, t + dt ));
pe->m_node[15] = AddFEElemNode(b, MQPoint(ni , nj + 1, nk + 2, r , s + 0.5*ds, t + dt ));
pe->m_node[16] = AddFEElemNode(b, MQPoint(ni , nj , nk + 1, r , s , t + 0.5*dt));
pe->m_node[17] = AddFEElemNode(b, MQPoint(ni + 2, nj , nk + 1, r + dr, s , t + 0.5*dt));
pe->m_node[18] = AddFEElemNode(b, MQPoint(ni + 2, nj + 2, nk + 1, r + dr, s + ds, t + 0.5*dt));
pe->m_node[19] = AddFEElemNode(b, MQPoint(ni , nj + 2, nk + 1, r , s + ds, t + 0.5*dt));
if (m_elemType == FE_HEX27)
{
pe->m_node[20] = AddFEElemNode(b, MQPoint(ni + 1, nj , nk + 1, r + 0.5*dr, s , t + 0.5*dt));
pe->m_node[21] = AddFEElemNode(b, MQPoint(ni + 2, nj + 1, nk + 1, r + dr, s + 0.5*ds, t + 0.5*dt));
pe->m_node[22] = AddFEElemNode(b, MQPoint(ni + 1, nj + 2, nk + 1, r + 0.5*dr, s + ds, t + 0.5*dt));
pe->m_node[23] = AddFEElemNode(b, MQPoint(ni , nj + 1, nk + 1, r , s + 0.5*ds, t + 0.5*dt));
pe->m_node[24] = AddFEElemNode(b, MQPoint(ni + 1, nj + 1, nk , r + 0.5*dr, s + 0.5*ds, t ));
pe->m_node[25] = AddFEElemNode(b, MQPoint(ni + 1, nj + 1, nk + 2, r + 0.5*dr, s + 0.5*ds, t + dt));
pe->m_node[26] = AddFEElemNode(b, MQPoint(ni + 1, nj + 1, nk + 1, r + 0.5*dr, s + 0.5*ds, t + 0.5*dt));
}
}
dx.advance();
ni += nn;
}
dy.advance();
nj += nn;
}
dz.advance();
nk += nn;
}
}
}
//-----------------------------------------------------------------------------
void FEMultiBlockMesh::BuildMBEdges()
{
int i, j, n, n1, n2;
int NF = m_MBFace.size();
m_MBEdge.clear();
m_MBEdge.reserve(4*NF);
int NE = 0;
for (i=0; i<NF; ++i)
{
MBFace& f = m_MBFace[i];
for (j=0; j<4; ++j)
{
n1 = f.m_node[j];
n2 = f.m_node[(j+1)%4];
n = FindEdge(n1, n2);
if (n >= 0)
{
MBEdge& e = m_MBEdge[n];
f.m_edge[j] = n;
if (f.IsExternal())
{
if (e.m_face[0] == -1) e.m_face[0] = i;
else e.m_face[1] = i;
}
}
else
{
MBEdge e(n1, n2);
e.m_face[0] = e.m_face[1] = -1;
if (f.IsExternal()) e.m_face[0] = i;
switch (j)
{
case 0:
e.m_nx = f.m_nx;
e.m_gx = f.m_gx;
e.m_bx = f.m_bx;
break;
case 1:
e.m_nx = f.m_ny;
e.m_gx = f.m_gy;
e.m_bx = f.m_by;
break;
case 2:
e.m_nx = f.m_nx;
e.m_gx = (f.m_bx?f.m_gx:1/f.m_gx);
e.m_bx = f.m_bx;
break;
case 3:
e.m_nx = f.m_ny;
e.m_gx = (f.m_by?f.m_gy:1/f.m_gy);
e.m_bx = f.m_by;
break;
}
m_MBEdge.push_back(e);
f.m_edge[j] = NE++;
}
}
}
NE = m_MBEdge.size();
// find the block edges
int NN = m_MBNode.size();
vector< vector<int> > ET(NN);
for (int i = 0; i < NE; ++i)
{
MBEdge& ei = m_MBEdge[i];
ET[ei.edge.m_node[0]].push_back(i);
ET[ei.edge.m_node[1]].push_back(i);
}
const int EL[12][2] = { {0,1},{1,2},{2,3},{3,0},{4,5},{5,6},{6,7},{7,4},{0,4},{1,5},{2,6},{3,7} };
int NB = m_MBlock.size();
for (int i = 0; i < NB; ++i)
{
MBBlock& b = m_MBlock[i];
for (int j = 0; j < 12; ++j)
{
b.m_edge[j] = -1;
int n0 = b.m_node[EL[j][0]];
int n1 = b.m_node[EL[j][1]];
int ne = ET[n0].size();
for (int k = 0; k < ne; ++k)
{
MBEdge& ek = m_MBEdge[ET[n0][k]];
if (((ek.Node(0) == n0) && (ek.Node(1) == n1))||
((ek.Node(0) == n1) && (ek.Node(1) == n0)))
{
b.m_edge[j] = ET[n0][k];
break;
}
}
}
}
}
//-----------------------------------------------------------------------------
// This function builds all the faces of the multi-block
void FEMultiBlockMesh::BuildMBFaces()
{
// clear all faces
m_MBFace.clear();
// get the number of blocks
int NB = m_MBlock.size();
// reset all block tags
for (int i=0; i<NB; ++i) m_MBlock[i].m_ntag = 0;
// count faces
int faces = 0;
for (int i=0; i<NB; ++i)
{
MBBlock& B = m_MBlock[i];
for (int j=0; j<6; ++j)
{
if (B.m_Nbr[j] == -1) ++faces;
else
{
MBBlock& B2 = m_MBlock[ B.m_Nbr[j] ];
if (B2.m_ntag == 0) ++faces;
}
}
B.m_ntag = 1;
}
// create face array
m_MBFace.resize(faces);
// reset all block tags
for (int i=0; i<NB; ++i) m_MBlock[i].m_ntag = 0;
// fill face array
faces = 0;
MBFace f;
int n1, n2;
for (int i=0; i<NB; ++i)
{
MBBlock& B = m_MBlock[i];
n1 = i;
for (int j=0; j<6; ++j)
{
bool badd = false;
n2 = -1;
if (B.m_Nbr[j] == -1) badd = true;
else
{
MBBlock& B2 = m_MBlock[ B.m_Nbr[j] ];
if (B2.m_ntag == 0) { badd = true; n2 = B.m_Nbr[j]; }
else
{
for (int k=0; k<6; ++k)
{
if (B2.m_Nbr[k] == i)
{
B.m_face[j] = B2.m_face[k];
break;
}
}
}
}
if (badd)
{
f = BuildBlockFace(B, j);
B.m_face[j] = faces;
f.m_block[0] = n1;
f.m_block[1] = n2;
m_MBFace[faces++] = f;
}
}
B.m_ntag = 1;
}
}
//-----------------------------------------------------------------------------
void FEMultiBlockMesh::FindFaceNeighbours()
{
// build the node-face table
vector< vector<int> > NFT;
BuildNodeFaceTable(NFT);
// reset all face neighbours
int NF = (int)m_MBFace.size();
for (int i=0; i<NF; ++i)
{
MBFace& F = m_MBFace[i];
for (int j=0; j<4; ++j) F.m_nbr[j] = -1;
}
// find the face's neighbours
int nf, n1, n2;
for (int i=0; i<NF; ++i)
{
MBFace& F = m_MBFace[i];
if (F.IsExternal())
{
for (int j=0; j<4; ++j)
{
if (F.m_nbr[j] == -1)
{
// pick a node
n1 = F.m_node[j];
n2 = F.m_node[(j+1)%4];
for (int k=0; k<(int) NFT[n1].size(); ++k)
{
nf = NFT[n1][k];
if (nf != i)
{
MBFace& F2 = m_MBFace[nf];
if (F2.IsExternal())
{
int l = FindEdgeIndex(F2, n1, n2);
if (l != -1)
{
F.m_nbr[j] = nf;
F2.m_nbr[l] = i;
break;
}
}
}
}
}
}
}
}
}
//-----------------------------------------------------------------------------
// This function finds the neighbors for all blocks.
// It is called from UpdateMB().
// At this point it is assumed that the nodes and the blocks are defined.
void FEMultiBlockMesh::FindBlockNeighbours()
{
// build the node-block table