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FECylinder.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.*/
// FECylinder.cpp: implementation of the FECylinder class.
//
//////////////////////////////////////////////////////////////////////
#include "stdafx.h"
#include "FECylinder.h"
#include <GeomLib/GPrimitive.h>
#include <MeshLib/FEMesh.h>
extern double gain2(double x, double r, double n);
//-----------------------------------------------------------------------------
// Constructor
FECylinder::FECylinder(GCylinder* po)
{
m_pobj = po;
m_r = 0.5;
m_nd = m_ns = 4;
m_nz = 8;
m_gz = 1;
m_gr = 1;
m_ctype = 0;
m_bz = false;
m_br = false;
AddDoubleParam(m_r, "r", "Ratio");
AddIntParam(m_nd, "nd", "Slices");
AddIntParam(m_ns, "ns", "Segments");
AddIntParam(m_nz, "nz", "Stacks");
AddDoubleParam(m_gz, "gz", "Z-bias");
AddDoubleParam(m_gr, "gr", "R-bias");
AddIntParam(m_ctype, "ctype", "Mesh Type")->SetEnumNames("Butterfly center\0Wedge center\0");
AddBoolParam(m_bz, "bz", "Z-mirrored bias");
AddBoolParam(m_br, "br", "R-mirrored bias");
AddChoiceParam(0, "elem_type", "Element Type")->SetEnumNames("HEX8\0HEX20\0HEX27\0");
}
//-----------------------------------------------------------------------------
// Build the mesh
FSMesh* FECylinder::BuildMesh()
{
m_ctype = GetIntValue(CTYPE);
switch (m_ctype)
{
case BUTTERFLY: return BuildButterfly();
case WEDGED : return BuildWedged();
default:
assert(false);
}
return 0;
}
//-----------------------------------------------------------------------------
bool FECylinder::BuildMultiBlock()
{
assert(m_pobj);
// get the object parameters
ParamBlock& param = m_pobj->GetParamBlock();
double h = param.GetFloatValue(GCylinder::HEIGHT);
// get the mesh parameters
m_gz = GetFloatValue(ZZ);
m_gr = GetFloatValue(GR);
m_nd = GetIntValue(NDIV);
m_ns = GetIntValue(NSEG);
m_nz = GetIntValue(NSTACK);
m_bz = GetBoolValue(GZ2);
m_br = GetBoolValue(GR2);
// get parameters
int nd = m_nd;
int ns = m_ns;
int nz = m_nz;
double fz = m_gz;
double fr = m_gr;
// check parameters
if (nd < 1) nd = 1;
if (ns < 1) ns = 1;
if (nz < 1) nz = 1;
if (nz == 1) m_bz = false;
double R1 = param.GetFloatValue(GCylinder::RADIUS);
m_r = GetFloatValue(RATIO);
double b = R1 * sqrt(2.0) / 2.0;
double a = m_r * b;
double c = R1;
ClearMB();
// create the MB nodes
m_MBNode.resize(34);
m_MBNode[0].m_r = vec3d(-a, -a, 0);
m_MBNode[1].m_r = vec3d(0, -a, 0);
m_MBNode[2].m_r = vec3d(a, -a, 0);
m_MBNode[3].m_r = vec3d(-a, 0, 0);
m_MBNode[4].m_r = vec3d(0, 0, 0);
m_MBNode[5].m_r = vec3d(a, 0, 0);
m_MBNode[6].m_r = vec3d(-a, a, 0);
m_MBNode[7].m_r = vec3d(0, a, 0);
m_MBNode[8].m_r = vec3d(a, a, 0);
m_MBNode[9].m_r = vec3d(-a, -a, h);
m_MBNode[10].m_r = vec3d(0, -a, h);
m_MBNode[11].m_r = vec3d(a, -a, h);
m_MBNode[12].m_r = vec3d(-a, 0, h);
m_MBNode[13].m_r = vec3d(0, 0, h);
m_MBNode[14].m_r = vec3d(a, 0, h);
m_MBNode[15].m_r = vec3d(-a, a, h);
m_MBNode[16].m_r = vec3d(0, a, h);
m_MBNode[17].m_r = vec3d(a, a, h);
m_MBNode[18].m_r = vec3d(-b, -b, 0);
m_MBNode[19].m_r = vec3d(0, -c, 0);
m_MBNode[20].m_r = vec3d(b, -b, 0);
m_MBNode[21].m_r = vec3d(c, 0, 0);
m_MBNode[22].m_r = vec3d(b, b, 0);
m_MBNode[23].m_r = vec3d(0, c, 0);
m_MBNode[24].m_r = vec3d(-b, b, 0);
m_MBNode[25].m_r = vec3d(-c, 0, 0);
m_MBNode[26].m_r = vec3d(-b, -b, h);
m_MBNode[27].m_r = vec3d(0, -c, h);
m_MBNode[28].m_r = vec3d(b, -b, h);
m_MBNode[29].m_r = vec3d(c, 0, h);
m_MBNode[30].m_r = vec3d(b, b, h);
m_MBNode[31].m_r = vec3d(0, c, h);
m_MBNode[32].m_r = vec3d(-b, b, h);
m_MBNode[33].m_r = vec3d(-c, 0, h);
// create the MB blocks
m_MBlock.resize(12);
MBBlock& b1 = m_MBlock[0];
b1.SetID(0);
b1.SetNodes(0, 1, 4, 3, 9, 10, 13, 12);
b1.SetSizes(nd, nd, nz);
b1.SetZoning(1, 1, fz, false, false, m_bz);
MBBlock& b2 = m_MBlock[1];
b2.SetID(0);
b2.SetNodes(1, 2, 5, 4, 10, 11, 14, 13);
b2.SetSizes(nd, nd, nz);
b2.SetZoning(1, 1, fz, false, false, m_bz);
MBBlock& b3 = m_MBlock[2];
b3.SetID(0);
b3.SetNodes(3, 4, 7, 6, 12, 13, 16, 15);
b3.SetSizes(nd, nd, nz);
b3.SetZoning(1, 1, fz, false, false, m_bz);
MBBlock& b4 = m_MBlock[3];
b4.SetID(0);
b4.SetNodes(4, 5, 8, 7, 13, 14, 17, 16);
b4.SetSizes(nd, nd, nz);
b4.SetZoning(1, 1, fz, false, false, m_bz);
MBBlock& b5 = m_MBlock[4];
b5.SetID(0);
b5.SetNodes(0, 18, 19, 1, 9, 26, 27, 10);
b5.SetSizes(ns, nd, nz);
b5.SetZoning(fr, 1, fz, false, false, m_bz);
MBBlock& b6 = m_MBlock[5];
b6.SetID(0);
b6.SetNodes(1, 19, 20, 2, 10, 27, 28, 11);
b6.SetSizes(ns, nd, nz);
b6.SetZoning(fr, 1, fz, false, false, m_bz);
MBBlock& b7 = m_MBlock[6];
b7.SetID(0);
b7.SetNodes(2, 20, 21, 5, 11, 28, 29, 14);
b7.SetSizes(ns, nd, nz);
b7.SetZoning(fr, 1, fz, false, false, m_bz);
MBBlock& b8 = m_MBlock[7];
b8.SetID(0);
b8.SetNodes(5, 21, 22, 8, 14, 29, 30, 17);
b8.SetSizes(ns, nd, nz);
b8.SetZoning(fr, 1, fz, false, false, m_bz);
MBBlock& b9 = m_MBlock[8];
b9.SetID(0);
b9.SetNodes(8, 22, 23, 7, 17, 30, 31, 16);
b9.SetSizes(ns, nd, nz);
b9.SetZoning(fr, 1, fz, false, false, m_bz);
MBBlock& b10 = m_MBlock[9];
b10.SetID(0);
b10.SetNodes(7, 23, 24, 6, 16, 31, 32, 15);
b10.SetSizes(ns, nd, nz);
b10.SetZoning(fr, 1, fz, false, false, m_bz);
MBBlock& b11 = m_MBlock[10];
b11.SetID(0);
b11.SetNodes(6, 24, 25, 3, 15, 32, 33, 12);
b11.SetSizes(ns, nd, nz);
b11.SetZoning(fr, 1, fz, false, false, m_bz);
MBBlock& b12 = m_MBlock[11];
b12.SetID(0);
b12.SetNodes(3, 25, 18, 0, 12, 33, 26, 9);
b12.SetSizes(ns, nd, nz);
b12.SetZoning(fr, 1, fz, false, false, m_bz);
// update the MB data
BuildMB();
// assign face ID's
/*
// order before new CAD engine
SetBlockFaceID(b1, -1, -1, -1, -1, 4, 5);
SetBlockFaceID(b2, -1, -1, -1, -1, 4, 5);
SetBlockFaceID(b3, -1, -1, -1, -1, 4, 5);
SetBlockFaceID(b4, -1, -1, -1, -1, 4, 5);
SetBlockFaceID(b5, -1, 2, -1, -1, 4, 5);
SetBlockFaceID(b6, -1, 3, -1, -1, 4, 5);
SetBlockFaceID(b7, -1, 3, -1, -1, 4, 5);
SetBlockFaceID(b8, -1, 0, -1, -1, 4, 5);
SetBlockFaceID(b9, -1, 0, -1, -1, 4, 5);
SetBlockFaceID(b10, -1, 1, -1, -1, 4, 5);
SetBlockFaceID(b11, -1, 1, -1, -1, 4, 5);
SetBlockFaceID(b12, -1, 2, -1, -1, 4, 5);
*/
SetBlockFaceID(b1, -1, -1, -1, -1, 0, 5);
SetBlockFaceID(b2, -1, -1, -1, -1, 0, 5);
SetBlockFaceID(b3, -1, -1, -1, -1, 0, 5);
SetBlockFaceID(b4, -1, -1, -1, -1, 0, 5);
SetBlockFaceID(b5, -1, 3, -1, -1, 0, 5);
SetBlockFaceID(b6, -1, 4, -1, -1, 0, 5);
SetBlockFaceID(b7, -1, 4, -1, -1, 0, 5);
SetBlockFaceID(b8, -1, 1, -1, -1, 0, 5);
SetBlockFaceID(b9, -1, 1, -1, -1, 0, 5);
SetBlockFaceID(b10, -1, 2, -1, -1, 0, 5);
SetBlockFaceID(b11, -1, 2, -1, -1, 0, 5);
SetBlockFaceID(b12, -1, 3, -1, -1, 0, 5);
MBFace& F1 = GetBlockFace(7, 1); SetFaceEdgeID(F1, 0, -1, 4, 8);
MBFace& F2 = GetBlockFace(8, 1); SetFaceEdgeID(F2, 0, 9, 4, -1);
MBFace& F3 = GetBlockFace(9, 1); SetFaceEdgeID(F3, 1, -1, 5, 9);
MBFace& F4 = GetBlockFace(10, 1); SetFaceEdgeID(F4, 1, 10, 5, -1);
MBFace& F5 = GetBlockFace(11, 1); SetFaceEdgeID(F5, 2, -1, 6, 10);
MBFace& F6 = GetBlockFace(4, 1); SetFaceEdgeID(F6, 2, 11, 6, -1);
MBFace& F7 = GetBlockFace(5, 1); SetFaceEdgeID(F7, 3, -1, 7, 11);
MBFace& F8 = GetBlockFace(6, 1); SetFaceEdgeID(F8, 3, 8, 7, -1);
GetFaceEdge(F1, 0).m_ntype = EDGE_ZARC;
GetFaceEdge(F1, 2).m_ntype = EDGE_ZARC; GetFaceEdge(F1, 2).m_orient = -1;
GetFaceEdge(F2, 0).m_ntype = EDGE_ZARC;
GetFaceEdge(F2, 2).m_ntype = EDGE_ZARC; GetFaceEdge(F2, 2).m_orient = -1;
GetFaceEdge(F3, 0).m_ntype = EDGE_ZARC;
GetFaceEdge(F3, 2).m_ntype = EDGE_ZARC; GetFaceEdge(F3, 2).m_orient = -1;
GetFaceEdge(F4, 0).m_ntype = EDGE_ZARC;
GetFaceEdge(F4, 2).m_ntype = EDGE_ZARC; GetFaceEdge(F4, 2).m_orient = -1;
GetFaceEdge(F5, 0).m_ntype = EDGE_ZARC;
GetFaceEdge(F5, 2).m_ntype = EDGE_ZARC; GetFaceEdge(F5, 2).m_orient = -1;
GetFaceEdge(F6, 0).m_ntype = EDGE_ZARC;
GetFaceEdge(F6, 2).m_ntype = EDGE_ZARC; GetFaceEdge(F6, 2).m_orient = -1;
GetFaceEdge(F7, 0).m_ntype = EDGE_ZARC;
GetFaceEdge(F7, 2).m_ntype = EDGE_ZARC; GetFaceEdge(F7, 2).m_orient = -1;
GetFaceEdge(F8, 0).m_ntype = EDGE_ZARC;
GetFaceEdge(F8, 2).m_ntype = EDGE_ZARC; GetFaceEdge(F8, 2).m_orient = -1;
m_MBNode[21].SetID(0);
m_MBNode[23].SetID(1);
m_MBNode[25].SetID(2);
m_MBNode[19].SetID(3);
m_MBNode[29].SetID(4);
m_MBNode[31].SetID(5);
m_MBNode[33].SetID(6);
m_MBNode[27].SetID(7);
UpdateMB();
return true;
}
//-----------------------------------------------------------------------------
// Build a butterfly mesh
FSMesh* FECylinder::BuildButterfly()
{
// create the multiblock data
BuildMultiBlock();
// set element type
int nelem = GetIntValue(ELEM_TYPE);
switch (nelem)
{
case 0: SetElementType(FE_HEX8); break;
case 1: SetElementType(FE_HEX20); break;
case 2: SetElementType(FE_HEX27); break;
}
// create the MB
FSMesh* pm = FEMultiBlockMesh::BuildMesh();
// the Multi-block mesher will assign a different smoothing ID
// to each face, but we don't want that here.
// For now, we autosmooth the mesh although we should think of a
// better way
pm->AutoSmooth(60);
return pm;
}
//-----------------------------------------------------------------------------
// Build a wedged mesh
FSMesh* FECylinder::BuildWedged()
{
assert(m_pobj);
int i, j, k;
// get the object parameters
ParamBlock& param = m_pobj->GetParamBlock();
double R1 = param.GetFloatValue(GCylinder::RADIUS);
double h = param.GetFloatValue(GCylinder::HEIGHT);
// get the mesh parameters
m_r = GetFloatValue(RATIO);
m_gz = GetFloatValue(ZZ);
m_gr = GetFloatValue(GR);
m_nd = GetIntValue(NDIV);
m_ns = GetIntValue(NSEG);
m_nz = GetIntValue(NSTACK);
m_bz = GetBoolValue(GZ2);
m_br = GetBoolValue(GR2);
// check parameters
if (m_nd < 1) m_nd = 1;
if (m_ns < 1) m_ns = 1;
if (m_nz < 1) m_nz = 1;
if (m_ns == 1) { m_gr = 1; m_br = false; }
// make sure the divisions is a multiple of 4
// so that we can always make four sides
m_nd *= 4;
// calculate storage
int nodes = (m_nz+1)*(1 + m_nd*m_ns);
int elems = m_nz*m_ns*m_nd;
int faces = 2*m_ns*m_nd + m_nz*m_nd;
int edges = 2*m_nd + 4*m_nz;
// create mesh
FSMesh* pm = new FSMesh;
pm->Create(nodes, elems, faces, edges);
// --- A. Create the nodes ---
FSNode* pn = pm->NodePtr();
double x, y, z, R;
double gz = 1;
double gr = 1;
double fz = m_gz;
double fr = m_gr;
if (m_bz)
{
gz = 2; if (m_nz%2) gz += fz;
for (i=0; i<m_nz/2-1; ++i) gz = fz*gz+2;
gz = h / gz;
}
else
{
for (i=0; i<m_nz-1; ++i) gz = fz*gz+1;
gz = h / gz;
}
if (m_br)
{
gr = 2; if (m_ns%2) gr += fr;
for (i=0; i<m_ns/2-1; ++i) gr = fr*gr+2;
gr = R1 / gr;
}
else
{
for (i=0; i<m_ns-1; ++i) gr = fr*gr+1;
gr = R1 / gr;
}
double dz = gz;
z = 0;
for (i=0; i<=m_nz; ++i)
{
double dr = gr;
R = 0;
// create the center node
pn->r = vec3d(0, 0, z);
pn->m_gid = -1;
++pn;
R += dr;
dr *= fr;
if (m_br && (m_ns == 2))
{
dr /= fr;
fr = 1.0/fr;
}
// create the other nodes
for (j=0; j<m_ns; ++j)
{
for (k=0; k<m_nd; ++k)
{
x = R*cos(k*2.0*PI / (m_nd));
y = R*sin(k*2.0*PI / (m_nd));
pn->r = vec3d(x, y, z);
pn->m_gid = -1;
pn++;
}
R += dr;
dr *= fr;
if (m_br && (j+1 == m_ns/2-1))
{
if (m_ns%2 == 0) dr /= fr;
fr = 1.0/fr;
}
}
if (m_br) fr = 1.0/fr;
z += dz;
dz *= fz;
if (m_bz && (i == m_nz/2-1))
{
if (m_nz%2 == 0) dz /= fz;
fz = 1.0/fz;
}
}
pm->Node(NodeIndex(0, m_ns, 0 )).m_gid = 0;
pm->Node(NodeIndex(0, m_ns, m_nd/4 )).m_gid = 1;
pm->Node(NodeIndex(0, m_ns, m_nd/2 )).m_gid = 2;
pm->Node(NodeIndex(0, m_ns, 3*m_nd/4)).m_gid = 3;
pm->Node(NodeIndex(m_nz, m_ns, 0 )).m_gid = 4;
pm->Node(NodeIndex(m_nz, m_ns, m_nd/4 )).m_gid = 5;
pm->Node(NodeIndex(m_nz, m_ns, m_nd/2 )).m_gid = 6;
pm->Node(NodeIndex(m_nz, m_ns, 3*m_nd/4)).m_gid = 7;
// --- B. Create the elements ---
// create the inner wedge elements
int eid = 0;
int nlevel = 1+m_nd*m_ns;
for (i=0; i<m_nz; i++)
{
// wedge elements
for (k=0; k<m_nd; ++k)
{
FEElement_* ph = pm->ElementPtr(eid++);
ph->SetType(FE_PENTA6);
ph->m_gid = 0;
ph->m_node[0] = i*nlevel;
ph->m_node[1] = i*nlevel + 1 + k;
ph->m_node[2] = i*nlevel + 1 + (k+1)%m_nd;
ph->m_node[3] = (i+1)*nlevel;
ph->m_node[4] = (i+1)*nlevel + 1 + k;
ph->m_node[5] = (i+1)*nlevel + 1 + (k+1)%m_nd;
}
// hex elements
for (j=1; j<m_ns; ++j)
{
for (k=0; k<m_nd; ++k)
{
FEElement_* ph = pm->ElementPtr(eid++);
ph->SetType(FE_HEX8);
ph->m_gid = 0;
ph->m_node[0] = i*nlevel + 1 + (j-1)*m_nd + k;
ph->m_node[1] = i*nlevel + 1 + (j )*m_nd + k;
ph->m_node[2] = i*nlevel + 1 + (j )*m_nd + (k+1)%m_nd;
ph->m_node[3] = i*nlevel + 1 + (j-1)*m_nd + (k+1)%m_nd;
ph->m_node[4] = (i+1)*nlevel + 1 + (j-1)*m_nd + k;
ph->m_node[5] = (i+1)*nlevel + 1 + (j )*m_nd + k;
ph->m_node[6] = (i+1)*nlevel + 1 + (j )*m_nd + (k+1)%m_nd;
ph->m_node[7] = (i+1)*nlevel + 1 + (j-1)*m_nd + (k+1)%m_nd;
}
}
}
// --- C. Create faces ---
// side faces
FSFace* pf = pm->FacePtr();
for (i=0; i<m_nz; ++i)
{
for (k=0; k<m_nd; ++k, ++pf)
{
pf->SetType(FE_FACE_QUAD4);
// pf->m_gid = k/(m_nd/4);
pf->m_gid = k/(m_nd/4) + 1;
pf->m_sid = 0;
pf->n[0] = NodeIndex(i , m_ns, k );
pf->n[1] = NodeIndex(i , m_ns, k+1);
pf->n[2] = NodeIndex(i+1, m_ns, k+1);
pf->n[3] = NodeIndex(i+1, m_ns, k );
}
}
// bottom faces
for (k=0; k<m_nd; ++k)
{
pf->SetType(FE_FACE_TRI3);
// pf->m_gid = 4;
pf->m_gid = 0;
pf->m_sid = 1;
pf->n[0] = NodeIndex(0, 0, 0);
pf->n[1] = NodeIndex(0, 1, k+1);
pf->n[2] = NodeIndex(0, 1, k);
pf->n[3] = pf->n[2];
++pf;
for (j=1; j<m_ns; ++j, ++pf)
{
pf->SetType(FE_FACE_QUAD4);
pf->m_gid = 0;
// pf->m_gid = 4;
pf->m_sid = 1;
pf->n[0] = NodeIndex(0,j ,k+1);
pf->n[1] = NodeIndex(0,j+1,k+1);
pf->n[2] = NodeIndex(0,j+1,k );
pf->n[3] = NodeIndex(0,j ,k );
}
}
// top faces
for (k=0; k<m_nd; ++k)
{
pf->SetType(FE_FACE_TRI3);
pf->m_gid = 5;
pf->m_sid = 2;
pf->n[0] = NodeIndex(m_nz, 0, 0);
pf->n[1] = NodeIndex(m_nz, 1, k);
pf->n[2] = NodeIndex(m_nz, 1, k+1);
pf->n[3] = pf->n[2];
++pf;
for (j=1; j<m_ns; ++j, ++pf)
{
pf->SetType(FE_FACE_QUAD4);
pf->m_gid = 5;
pf->m_sid = 2;
pf->n[0] = NodeIndex(m_nz,j ,k );
pf->n[1] = NodeIndex(m_nz,j+1,k );
pf->n[2] = NodeIndex(m_nz,j+1,k+1);
pf->n[3] = NodeIndex(m_nz,j ,k+1);
}
}
// --- D. Create edges ---
FSEdge* pe = pm->EdgePtr();
for (k=0; k<m_nd; ++k, ++pe)
{
pe->m_gid = k/(m_nd/4);
pe->SetType(FE_EDGE2);
pe->n[0] = NodeIndex(0, m_ns, k);
pe->n[1] = NodeIndex(0, m_ns, k+1);
}
for (k=0; k<m_nd; ++k, ++pe)
{
pe->m_gid = 4+k/(m_nd/4);
pe->SetType(FE_EDGE2);
pe->n[0] = NodeIndex(m_nz, m_ns, k);
pe->n[1] = NodeIndex(m_nz, m_ns, k+1);
}
for (k=0; k<4; ++k)
{
for (i=0; i<m_nz; ++i, ++pe)
{
pe->m_gid = 8 + k;
pe->SetType(FE_EDGE2);
pe->n[0] = NodeIndex(i, m_ns, k*m_nd / 4);
pe->n[1] = NodeIndex(i+1, m_ns, k*m_nd/4);
}
}
pm->BuildMesh();
return pm;
}
//=============================================================================
// C Y L I N D E R 2
//=============================================================================
// Constructor
FECylinder2::FECylinder2(GCylinder2* po)
{
m_pobj = po;
m_r = 0.5;
m_nd = m_ns = 4;
m_nz = 8;
m_gz = 1;
m_gr = 1;
m_ctype = 0;
m_bz = false;
m_br = false;
AddDoubleParam(m_r, "r", "Ratio");
AddIntParam(m_nd, "nd", "Divisions");
AddIntParam(m_ns, "ns", "Segments");
AddIntParam(m_nz, "nz", "Stacks");
AddDoubleParam(m_gz, "gz", "Z-bias");
AddDoubleParam(m_gr, "gr", "R-bias");
AddIntParam(m_ctype, "ctype", "Mesh Type")->SetEnumNames("Butterfly center\0Wedge center\0");
AddBoolParam(m_bz, "bz", "Z-mirrored bias");
AddBoolParam(m_br, "br", "R-mirrored bias");
}
//-----------------------------------------------------------------------------
// Build the mesh
FSMesh* FECylinder2::BuildMesh()
{
m_ctype = GetIntValue(CTYPE);
switch (m_ctype)
{
case BUTTERFLY: return BuildButterfly();
case WEDGED : return BuildWedged();
default:
assert(false);
}
return 0;
}
//-----------------------------------------------------------------------------
// Build a butterfly mesh
FSMesh* FECylinder2::BuildButterfly()
{
assert(m_pobj);
// get the object parameters
ParamBlock& param = m_pobj->GetParamBlock();
double Rx = param.GetFloatValue(GCylinder2::RADIUSX);
double Ry = param.GetFloatValue(GCylinder2::RADIUSY);
double h = param.GetFloatValue(GCylinder2::HEIGHT );
// get the mesh parameters
m_r = GetFloatValue(RATIO);
m_gz = GetFloatValue(ZZ);
m_nd = GetIntValue(NDIV);
m_ns = GetIntValue(NSEG);
m_nz = GetIntValue(NSTACK);
m_bz = GetBoolValue(GZ2);
// get parameters
double R0x = m_r;
double R0y = m_r;
int nd = m_nd;
int ns = m_ns;
int nz = m_nz;
double fz = m_gz;
double fr = 1;
// check parameters
if (nd < 1) nd = 1;
if (ns < 1) ns = 1;
if (nz < 1) nz = 1;
if (R0x < 0) R0x = 0; if (R0x > 1) R0x = 1;
if (R0y < 0) R0y = 0; if (R0y > 1) R0y = 1;
if (nz == 1) m_bz = false;
R0x *= Rx;
R0y *= Ry;
double d0x = R0x/sqrt(2.0);
double d1x = Rx /sqrt(2.0);
double d0y = R0y/sqrt(2.0);
double d1y = Ry /sqrt(2.0);
// create the MB nodes
m_MBNode.resize(34);
m_MBNode[ 0].m_r = vec3d( -1, -1, 0);
m_MBNode[ 1].m_r = vec3d( 0, -1, 0);
m_MBNode[ 2].m_r = vec3d( 1, -1, 0);
m_MBNode[ 3].m_r = vec3d( -1, 0, 0);
m_MBNode[ 4].m_r = vec3d( 0, 0, 0);
m_MBNode[ 5].m_r = vec3d( 1, 0, 0);
m_MBNode[ 6].m_r = vec3d( -1, 1, 0);
m_MBNode[ 7].m_r = vec3d( 0, 1, 0);
m_MBNode[ 8].m_r = vec3d( 1, 1, 0);
m_MBNode[ 9].m_r = vec3d(-1, -1, h);
m_MBNode[10].m_r = vec3d( 0, -1, h);
m_MBNode[11].m_r = vec3d( 1, -1, h);
m_MBNode[12].m_r = vec3d(-1, 0, h);
m_MBNode[13].m_r = vec3d( 0, 0, h);
m_MBNode[14].m_r = vec3d( 1, 0, h);
m_MBNode[15].m_r = vec3d(-1, 1, h);
m_MBNode[16].m_r = vec3d( 0, 1, h);
m_MBNode[17].m_r = vec3d( 1, 1, h);
m_MBNode[18].m_r = vec3d(-2, -2, 0);
m_MBNode[19].m_r = vec3d( 0, -2, 0);
m_MBNode[20].m_r = vec3d( 2, -2, 0);
m_MBNode[21].m_r = vec3d( 2, 0, 0);
m_MBNode[22].m_r = vec3d( 2, 2, 0);
m_MBNode[23].m_r = vec3d( 0, 2, 0);
m_MBNode[24].m_r = vec3d(-2, 2, 0);
m_MBNode[25].m_r = vec3d(-2, 0, 0);
m_MBNode[26].m_r = vec3d(-2, -2, h);
m_MBNode[27].m_r = vec3d( 0, -2, h);
m_MBNode[28].m_r = vec3d( 2, -2, h);
m_MBNode[29].m_r = vec3d( 2, 0, h);
m_MBNode[30].m_r = vec3d( 2, 2, h);
m_MBNode[31].m_r = vec3d( 0, 2, h);
m_MBNode[32].m_r = vec3d(-2, 2, h);
m_MBNode[33].m_r = vec3d(-2, 0, h);
// create the MB blocks
m_MBlock.resize(12);
MBBlock& b1 = m_MBlock[0];
b1.SetID(0);
b1.SetNodes(0,1,4,3,9,10,13,12);
b1.SetSizes(nd,nd,nz);
b1.SetZoning(1,1,fz, false, false, m_bz);
MBBlock& b2 = m_MBlock[1];
b2.SetID(0);
b2.SetNodes(1,2,5,4,10,11,14,13);
b2.SetSizes(nd,nd,nz);
b2.SetZoning(1,1,fz, false, false, m_bz);
MBBlock& b3 = m_MBlock[2];
b3.SetID(0);
b3.SetNodes(3,4,7,6,12,13,16,15);
b3.SetSizes(nd,nd,nz);
b3.SetZoning(1,1,fz, false, false, m_bz);
MBBlock& b4 = m_MBlock[3];
b4.SetID(0);
b4.SetNodes(4,5,8,7,13,14,17,16);
b4.SetSizes(nd,nd,nz);
b4.SetZoning(1,1,fz, false, false, m_bz);
MBBlock& b5 = m_MBlock[4];
b5.SetID(0);
b5.SetNodes(0,18,19,1,9,26,27,10);
b5.SetSizes(ns,nd,nz);
b5.SetZoning(fr,1,fz, false, false, m_bz);
MBBlock& b6 = m_MBlock[5];
b6.SetID(0);
b6.SetNodes(1,19,20,2,10,27,28,11);
b6.SetSizes(ns,nd,nz);
b6.SetZoning(fr,1,fz, false, false, m_bz);
MBBlock& b7 = m_MBlock[6];
b7.SetID(0);
b7.SetNodes(2,20,21,5,11,28,29,14);
b7.SetSizes(ns,nd,nz);
b7.SetZoning(fr,1,fz, false, false, m_bz);
MBBlock& b8 = m_MBlock[7];
b8.SetID(0);
b8.SetNodes(5,21,22,8,14,29,30,17);
b8.SetSizes(ns,nd,nz);
b8.SetZoning(fr,1,fz, false, false, m_bz);
MBBlock& b9 = m_MBlock[8];
b9.SetID(0);
b9.SetNodes(8,22,23,7,17,30,31,16);
b9.SetSizes(ns,nd,nz);
b9.SetZoning(fr,1,fz, false, false, m_bz);
MBBlock& b10 = m_MBlock[9];
b10.SetID(0);
b10.SetNodes(7,23,24,6,16,31,32,15);
b10.SetSizes(ns,nd,nz);
b10.SetZoning(fr,1,fz, false, false, m_bz);
MBBlock& b11 = m_MBlock[10];
b11.SetID(0);
b11.SetNodes(6,24,25,3,15,32,33,12);
b11.SetSizes(ns,nd,nz);
b11.SetZoning(fr,1,fz, false, false, m_bz);
MBBlock& b12 = m_MBlock[11];
b12.SetID(0);
b12.SetNodes(3,25,18,0,12,33,26,9);
b12.SetSizes(ns,nd,nz);
b12.SetZoning(fr,1,fz, false, false, m_bz);
// update the MB data
BuildMB();
// assign face ID's
SetBlockFaceID(b1, -1, -1, -1, -1, 0, 5);
SetBlockFaceID(b2, -1, -1, -1, -1, 0, 5);
SetBlockFaceID(b3, -1, -1, -1, -1, 0, 5);
SetBlockFaceID(b4, -1, -1, -1, -1, 0, 5);
SetBlockFaceID(b5, -1, 3, -1, -1, 0, 5);
SetBlockFaceID(b6, -1, 4, -1, -1, 0, 5);
SetBlockFaceID(b7, -1, 4, -1, -1, 0, 5);
SetBlockFaceID(b8, -1, 1, -1, -1, 0, 5);
SetBlockFaceID(b9, -1, 1, -1, -1, 0, 5);
SetBlockFaceID(b10, -1, 2, -1, -1, 0, 5);
SetBlockFaceID(b11, -1, 2, -1, -1, 0, 5);
SetBlockFaceID(b12, -1, 3, -1, -1, 0, 5);
MBFace& F1 = GetBlockFace( 7, 1); SetFaceEdgeID(F1, 0, -1, 4, 8);
MBFace& F2 = GetBlockFace( 8, 1); SetFaceEdgeID(F2, 0, 9, 4, -1);
MBFace& F3 = GetBlockFace( 9, 1); SetFaceEdgeID(F3, 1, -1, 5, 9);
MBFace& F4 = GetBlockFace(10, 1); SetFaceEdgeID(F4, 1, 10, 5, -1);
MBFace& F5 = GetBlockFace(11, 1); SetFaceEdgeID(F5, 2, -1, 6, 10);
MBFace& F6 = GetBlockFace( 4, 1); SetFaceEdgeID(F6, 2, 11, 6, -1);
MBFace& F7 = GetBlockFace( 5, 1); SetFaceEdgeID(F7, 3, -1, 7, 11);
MBFace& F8 = GetBlockFace( 6, 1); SetFaceEdgeID(F8, 3, 8, 7, -1);
m_MBNode[21].SetID(0);
m_MBNode[23].SetID(1);
m_MBNode[25].SetID(2);
m_MBNode[19].SetID(3);
m_MBNode[29].SetID(4);
m_MBNode[31].SetID(5);
m_MBNode[33].SetID(6);
m_MBNode[27].SetID(7);
// create the MB
FSMesh* pm = FEMultiBlockMesh::BuildMesh();
// project the nodes onto a cylinder
vec3d r0, r1;
for (int i=0; i<pm->Nodes(); ++i)
{
// get the nodal coordinate in the template
vec3d& rn = pm->Node(i).r;
double x = rn.x;
double y = rn.y;
// get the max-distance
double D = fmax(fabs(x),fabs(y));
if (D <= 1)
{
rn.x *= d0x;
rn.y *= d0y;
}
else
{
// "normalize" the coordinates
// with respect to the max distance
double r = x/D;
double s = y/D;
vec3d r0;
if (fabs(x) >= fabs(y))
{
double u = x/fabs(x);
r0.x = u*Rx*cos(PI*0.25*s);
r0.y = Ry*sin(PI*0.25*s);
}
else
{
double u = y/fabs(y);
r0.y = u*Ry*cos(PI*0.25*r);
r0.x = Rx*sin(PI*0.25*r);
}
vec3d r1(r*d0x, s*d0y, 0);
double a = D - 1;
rn.x = r0.x*a + r1.x*(1-a);
rn.y = r0.y*a + r1.y*(1-a);
}
}
// update the mesh
pm->UpdateMesh();
// the Multi-block mesher will assign a different smoothing ID
// to each face, but we don't want that here.
// For now, we autosmooth the mesh although we should think of a
// better way
pm->AutoSmooth(60);
return pm;
}
//-----------------------------------------------------------------------------
// Build a wedged mesh
FSMesh* FECylinder2::BuildWedged()
{
assert(m_pobj);
int i, j, k;
// get the object parameters
ParamBlock& param = m_pobj->GetParamBlock();
double Rx = param.GetFloatValue(GCylinder2::RADIUSX);
double Ry = param.GetFloatValue(GCylinder2::RADIUSY);
double h = param.GetFloatValue(GCylinder2::HEIGHT );
// get the mesh parameters
m_r = GetFloatValue(RATIO);
m_gz = GetFloatValue(ZZ);
m_gr = GetFloatValue(GR);
m_nd = GetIntValue(NDIV);
m_ns = GetIntValue(NSEG);
m_nz = GetIntValue(NSTACK);
m_bz = GetBoolValue(GZ2);
m_br = GetBoolValue(GR2);
// check parameters
if (m_nd < 1) m_nd = 1;
if (m_ns < 1) m_ns = 1;
if (m_nz < 1) m_nz = 1;
if (m_ns == 1) { m_gr = 1; m_br = false; }
// make sure the divisions is a multiple of 4
// so that we can always make four sides
m_nd *= 4;
// calculate storage
int nodes = (m_nz+1)*(1 + m_nd*m_ns);
int elems = m_nz*m_ns*m_nd;
int faces = 2*m_ns*m_nd + m_nz*m_nd;
int edges = 2*m_nd + 4*m_nz;
// create mesh
FSMesh* pm = new FSMesh;
pm->Create(nodes, elems, faces, edges);
// --- A. Create the nodes ---
FSNode* pn = pm->NodePtr();
double x, y, z, R;
double gz = 1;
double gr = 1;
double fz = m_gz;
double fr = m_gr;
if (m_bz)
{
gz = 2; if (m_nz%2) gz += fz;
for (i=0; i<m_nz/2-1; ++i) gz = fz*gz+2;
gz = h / gz;
}
else
{
for (i=0; i<m_nz-1; ++i) gz = fz*gz+1;
gz = h / gz;
}
if (m_br)
{