2011-02-19 03:50:58 +05:00
|
|
|
#include <meshing.hpp>
|
2009-01-13 04:40:13 +05:00
|
|
|
#include <geometry2d.hpp>
|
2011-02-19 03:50:58 +05:00
|
|
|
|
2009-01-13 04:40:13 +05:00
|
|
|
namespace netgen
|
|
|
|
{
|
2014-09-25 20:51:57 +06:00
|
|
|
// extern DLL_HEADER MeshingParameters mparam;
|
2009-01-13 04:40:13 +05:00
|
|
|
|
2011-02-28 17:59:27 +05:00
|
|
|
extern void Optimize2d (Mesh & mesh, MeshingParameters & mp);
|
2009-01-13 04:40:13 +05:00
|
|
|
|
|
|
|
|
|
|
|
|
2012-08-28 16:36:58 +06:00
|
|
|
|
|
|
|
void CalcPartition (const SplineSegExt & spline,
|
|
|
|
// double l,
|
|
|
|
MeshingParameters & mp, Mesh & mesh,
|
|
|
|
// double h, double h1, double h2, double hcurve,
|
2019-07-09 13:39:16 +05:00
|
|
|
double elto0, NgArray<double> & points)
|
2012-08-28 16:36:58 +06:00
|
|
|
{
|
|
|
|
double fperel, oldf, f;
|
|
|
|
|
2020-10-16 21:40:04 +05:00
|
|
|
int n = 1;
|
|
|
|
NgArray<Point<2> > xi;
|
|
|
|
NgArray<double> hi;
|
|
|
|
|
|
|
|
// do one extra step
|
|
|
|
int not_fine_enough = 2;
|
|
|
|
|
|
|
|
while(not_fine_enough && n < 10000)
|
|
|
|
{
|
|
|
|
not_fine_enough--;
|
|
|
|
n*=4;
|
|
|
|
|
|
|
|
xi.SetSize(n);
|
|
|
|
hi.SetSize(n);
|
|
|
|
|
|
|
|
for (int i = 0; i < n; i++)
|
2012-08-28 16:36:58 +06:00
|
|
|
{
|
2020-10-16 21:40:04 +05:00
|
|
|
xi[i] = spline.GetPoint ( (i+0.5) / n );
|
|
|
|
hi[i] = mesh.GetH (Point<3> (xi[i](0), xi[i](1), 0));
|
2012-08-28 16:36:58 +06:00
|
|
|
}
|
|
|
|
|
2020-10-16 21:40:04 +05:00
|
|
|
// limit slope
|
|
|
|
double gradh = min(1/elto0,mp.grading);
|
|
|
|
for (int i = 0; i < n-1; i++)
|
2012-08-28 16:36:58 +06:00
|
|
|
{
|
2020-10-16 21:40:04 +05:00
|
|
|
double hnext = hi[i] + gradh * (xi[i+1]-xi[i]).Length();
|
|
|
|
if(hnext > 2*hi[i])
|
|
|
|
not_fine_enough = 2;
|
|
|
|
hi[i+1] = min(hi[i+1], hnext);
|
2012-08-28 16:36:58 +06:00
|
|
|
}
|
2020-10-16 21:40:04 +05:00
|
|
|
for (int i = n-1; i > 1; i--)
|
2012-08-28 16:36:58 +06:00
|
|
|
{
|
2020-10-16 21:40:04 +05:00
|
|
|
double hnext = hi[i] + gradh * (xi[i-1]-xi[i]).Length();
|
|
|
|
if(hnext > 2*hi[i])
|
|
|
|
not_fine_enough = 2;
|
|
|
|
hi[i-1] = min(hi[i-1], hnext);
|
2012-08-28 16:36:58 +06:00
|
|
|
}
|
2020-10-16 21:40:04 +05:00
|
|
|
}
|
2012-08-28 16:36:58 +06:00
|
|
|
|
|
|
|
points.SetSize (0);
|
|
|
|
|
|
|
|
double len = spline.Length();
|
|
|
|
double dt = len / n;
|
|
|
|
|
|
|
|
double sum = 0;
|
|
|
|
for (int i = 1; i <= n; i++)
|
|
|
|
{
|
2014-08-20 01:58:36 +06:00
|
|
|
// double t = (i-0.5)*dt;
|
2012-08-28 16:36:58 +06:00
|
|
|
double fun = hi[i-1];
|
|
|
|
sum += dt / fun;
|
|
|
|
}
|
|
|
|
|
2019-02-08 03:09:34 +05:00
|
|
|
int nel = int (sum+0.5);
|
|
|
|
if (nel == 0) nel = 1;
|
2012-08-28 16:36:58 +06:00
|
|
|
fperel = sum / nel;
|
|
|
|
|
|
|
|
points.Append (0);
|
|
|
|
|
|
|
|
int i = 1;
|
|
|
|
oldf = 0;
|
|
|
|
|
|
|
|
for (int j = 1; j <= n && i < nel; j++)
|
|
|
|
{
|
|
|
|
double t = (j-0.5)*dt;
|
|
|
|
double fun = hi[j-1];
|
|
|
|
|
|
|
|
f = oldf + dt / fun;
|
|
|
|
|
|
|
|
while (i * fperel < f && i < nel)
|
|
|
|
{
|
|
|
|
points.Append ( dt * (j-1) + (i * fperel - oldf) * fun);
|
|
|
|
i++;
|
|
|
|
}
|
|
|
|
oldf = f;
|
|
|
|
t += dt;
|
|
|
|
}
|
|
|
|
points.Append (len);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2011-02-28 17:59:27 +05:00
|
|
|
|
|
|
|
// partitionizes spline curve
|
|
|
|
void Partition (const SplineSegExt & spline,
|
2012-08-28 16:43:39 +06:00
|
|
|
MeshingParameters & mp, double hxxx, double elto0,
|
2011-02-28 17:59:27 +05:00
|
|
|
Mesh & mesh, Point3dTree & searchtree, int segnr)
|
|
|
|
{
|
|
|
|
int n = 100;
|
2012-08-28 16:36:58 +06:00
|
|
|
|
|
|
|
Point<2> mark, oldmark;
|
2019-07-09 13:39:16 +05:00
|
|
|
NgArray<double> curvepoints;
|
2011-02-28 17:59:27 +05:00
|
|
|
double edgelength, edgelengthold;
|
|
|
|
|
2012-08-28 16:36:58 +06:00
|
|
|
CalcPartition (spline, mp, mesh, elto0, curvepoints);
|
2011-02-28 17:59:27 +05:00
|
|
|
|
2012-08-28 16:36:58 +06:00
|
|
|
double dt = 1.0 / n;
|
2011-02-28 17:59:27 +05:00
|
|
|
|
2012-08-28 16:36:58 +06:00
|
|
|
int j = 1;
|
2011-02-28 17:59:27 +05:00
|
|
|
|
2012-08-28 16:36:58 +06:00
|
|
|
Point<2> pold = spline.GetPoint (0);
|
|
|
|
double lold = 0;
|
2011-02-28 17:59:27 +05:00
|
|
|
oldmark = pold;
|
|
|
|
edgelengthold = 0;
|
2019-07-09 13:39:16 +05:00
|
|
|
NgArray<int> locsearch;
|
2011-02-28 17:59:27 +05:00
|
|
|
|
2012-08-28 16:36:58 +06:00
|
|
|
for (int i = 1; i <= n; i++)
|
2011-02-28 17:59:27 +05:00
|
|
|
{
|
2012-08-28 16:36:58 +06:00
|
|
|
Point<2> p = spline.GetPoint (i*dt);
|
|
|
|
double l = lold + Dist (p, pold);
|
2011-02-28 17:59:27 +05:00
|
|
|
while (j < curvepoints.Size() && (l >= curvepoints[j] || i == n))
|
|
|
|
{
|
2012-08-28 16:36:58 +06:00
|
|
|
double frac = (curvepoints[j]-lold) / (l-lold);
|
2011-02-28 17:59:27 +05:00
|
|
|
edgelength = i*dt + (frac-1)*dt;
|
|
|
|
mark = spline.GetPoint (edgelength);
|
|
|
|
|
|
|
|
{
|
|
|
|
PointIndex pi1 = -1, pi2 = -1;
|
|
|
|
|
|
|
|
Point3d mark3(mark(0), mark(1), 0);
|
|
|
|
Point3d oldmark3(oldmark(0), oldmark(1), 0);
|
|
|
|
|
2012-08-28 16:43:39 +06:00
|
|
|
double h = mesh.GetH (Point<3> (oldmark(0), oldmark(1), 0));
|
2011-02-28 17:59:27 +05:00
|
|
|
Vec<3> v (1e-4*h, 1e-4*h, 1e-4*h);
|
|
|
|
searchtree.GetIntersecting (oldmark3 - v, oldmark3 + v, locsearch);
|
|
|
|
|
|
|
|
for (int k = 0; k < locsearch.Size(); k++)
|
|
|
|
if ( mesh[PointIndex(locsearch[k])].GetLayer() == spline.layer)
|
|
|
|
pi1 = locsearch[k];
|
|
|
|
|
|
|
|
searchtree.GetIntersecting (mark3 - v, mark3 + v, locsearch);
|
|
|
|
for (int k = 0; k < locsearch.Size(); k++)
|
|
|
|
if ( mesh[PointIndex(locsearch[k])].GetLayer() == spline.layer)
|
|
|
|
pi2 = locsearch[k];
|
|
|
|
|
|
|
|
if (pi1 == -1)
|
|
|
|
{
|
|
|
|
pi1 = mesh.AddPoint(oldmark3, spline.layer);
|
|
|
|
searchtree.Insert (oldmark3, pi1);
|
|
|
|
}
|
|
|
|
if (pi2 == -1)
|
|
|
|
{
|
|
|
|
pi2 = mesh.AddPoint(mark3, spline.layer);
|
|
|
|
searchtree.Insert (mark3, pi2);
|
|
|
|
}
|
|
|
|
|
|
|
|
Segment seg;
|
|
|
|
seg.edgenr = segnr;
|
|
|
|
seg.si = spline.bc; // segnr;
|
|
|
|
seg[0] = pi1;
|
|
|
|
seg[1] = pi2;
|
|
|
|
seg.domin = spline.leftdom;
|
|
|
|
seg.domout = spline.rightdom;
|
|
|
|
seg.epgeominfo[0].edgenr = segnr;
|
|
|
|
seg.epgeominfo[0].dist = edgelengthold;
|
|
|
|
seg.epgeominfo[1].edgenr = segnr;
|
|
|
|
seg.epgeominfo[1].dist = edgelength;
|
|
|
|
seg.singedge_left = spline.hpref_left;
|
|
|
|
seg.singedge_right = spline.hpref_right;
|
|
|
|
mesh.AddSegment (seg);
|
|
|
|
}
|
|
|
|
|
|
|
|
oldmark = mark;
|
|
|
|
edgelengthold = edgelength;
|
|
|
|
j++;
|
|
|
|
}
|
|
|
|
|
|
|
|
pold = p;
|
|
|
|
lold = l;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
2012-08-27 22:07:27 +06:00
|
|
|
void SplineGeometry2d :: PartitionBoundary (MeshingParameters & mp, double h, Mesh & mesh2d)
|
2011-02-28 17:59:27 +05:00
|
|
|
{
|
|
|
|
enum { D = 2 };
|
|
|
|
Box<D> bbox;
|
|
|
|
GetBoundingBox (bbox);
|
|
|
|
double dist = Dist (bbox.PMin(), bbox.PMax());
|
|
|
|
Point<3> pmin;
|
|
|
|
Point<3> pmax;
|
|
|
|
|
|
|
|
pmin(2) = -dist; pmax(2) = dist;
|
|
|
|
for(int j=0;j<D;j++)
|
|
|
|
{
|
|
|
|
pmin(j) = bbox.PMin()(j);
|
|
|
|
pmax(j) = bbox.PMax()(j);
|
|
|
|
}
|
|
|
|
|
|
|
|
Point3dTree searchtree (pmin, pmax);
|
|
|
|
|
|
|
|
for (int i = 0; i < splines.Size(); i++)
|
|
|
|
for (int side = 0; side <= 1; side++)
|
|
|
|
{
|
|
|
|
int dom = (side == 0) ? GetSpline(i).leftdom : GetSpline(i).rightdom;
|
|
|
|
if (dom != 0) GetSpline(i).layer = GetDomainLayer (dom);
|
|
|
|
}
|
|
|
|
|
2012-08-28 16:36:58 +06:00
|
|
|
|
|
|
|
// mesh size restrictions ...
|
2018-12-04 10:58:08 +05:00
|
|
|
|
|
|
|
for (auto & point : geompoints)
|
|
|
|
mesh2d.RestrictLocalH (Point<3> (point(0), point(1), 0), point.hmax);
|
2012-08-28 16:36:58 +06:00
|
|
|
|
|
|
|
for (int i = 0; i < splines.Size(); i++)
|
|
|
|
{
|
|
|
|
const SplineSegExt & spline = GetSpline(i);
|
|
|
|
const GeomPoint<2> & p1 = spline.StartPI();
|
|
|
|
const GeomPoint<2> & p2 = spline.EndPI();
|
|
|
|
|
|
|
|
double h1 = min (p1.hmax, h/p1.refatpoint);
|
|
|
|
mesh2d.RestrictLocalH (Point<3>(p1(0),p1(1),0), h1);
|
|
|
|
double h2 = min (p2.hmax, h/p2.refatpoint);
|
|
|
|
mesh2d.RestrictLocalH (Point<3>(p2(0),p2(1),0), h2);
|
|
|
|
|
|
|
|
double len = spline.Length();
|
|
|
|
mesh2d.RestrictLocalHLine (Point<3>(p1(0),p1(1),0),
|
|
|
|
Point<3>(p2(0),p2(1),0), len/mp.segmentsperedge);
|
|
|
|
|
|
|
|
double hcurve = min (spline.hmax, h/spline.reffak);
|
|
|
|
double hl = GetDomainMaxh (spline.leftdom);
|
|
|
|
if (hl > 0) hcurve = min2 (hcurve, hl);
|
|
|
|
double hr = GetDomainMaxh (spline.rightdom);
|
|
|
|
if (hr > 0) hcurve = min2 (hcurve, hr);
|
|
|
|
|
2020-10-19 16:19:25 +05:00
|
|
|
// skip curvature restrictions for straight lines
|
|
|
|
if(spline.MaxCurvature()==0)
|
|
|
|
{
|
|
|
|
mesh2d.RestrictLocalHLine (Point<3>(p1(0),p1(1),0),
|
|
|
|
Point<3>(p2(0),p2(1),0), hcurve);
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
int np = 1000;
|
|
|
|
for (double t = 0.5/np; t < 1; t += 1.0/np)
|
|
|
|
{
|
|
|
|
Point<2> x = spline.GetPoint(t);
|
|
|
|
double hc = 1.0/mp.curvaturesafety / (1e-99+spline.CalcCurvature (t));
|
|
|
|
mesh2d.RestrictLocalH (Point<3> (x(0), x(1), 0), min2(hc, hcurve));
|
|
|
|
}
|
|
|
|
}
|
2012-08-28 16:36:58 +06:00
|
|
|
}
|
2018-11-08 14:37:33 +05:00
|
|
|
|
|
|
|
for (auto mspnt : mp.meshsize_points)
|
|
|
|
mesh2d.RestrictLocalH (mspnt.pnt, mspnt.h);
|
2018-12-04 10:58:08 +05:00
|
|
|
|
|
|
|
// add point elements
|
|
|
|
for (auto & point : geompoints)
|
|
|
|
{
|
|
|
|
Point<3> newp(point(0), point(1), 0);
|
|
|
|
PointIndex npi = mesh2d.AddPoint (newp, 1, FIXEDPOINT);
|
|
|
|
mesh2d.AddLockedPoint(npi);
|
|
|
|
Element0d el(npi, npi);
|
|
|
|
el.name = point.name;
|
|
|
|
mesh2d.SetCD2Name(npi, point.name);
|
|
|
|
mesh2d.pointelements.Append (el);
|
|
|
|
searchtree.Insert (newp, npi);
|
|
|
|
}
|
|
|
|
|
2017-03-08 22:07:45 +05:00
|
|
|
// first add all vertices (for compatible orientation on periodic bnds)
|
|
|
|
{
|
|
|
|
double diam2 = Dist2(pmin, pmax);
|
|
|
|
for (int i = 0; i < splines.Size(); i++)
|
|
|
|
for (int j : { 1, 2 })
|
|
|
|
{
|
|
|
|
Point<2> hnewp = (j == 1) ? splines[i]->StartPI() : splines[i]->EndPI();
|
|
|
|
Point<3> newp(hnewp(0), hnewp(1), 0);
|
|
|
|
int layer = GetSpline(i).layer;
|
|
|
|
int npi = -1;
|
|
|
|
for (PointIndex pi = PointIndex::BASE;
|
|
|
|
pi < mesh2d.GetNP()+PointIndex::BASE; pi++)
|
|
|
|
if (Dist2 (mesh2d.Point(pi), newp) < 1e-12 * diam2 && mesh2d.Point(pi).GetLayer() == layer)
|
|
|
|
npi = pi;
|
|
|
|
|
|
|
|
if (npi == -1)
|
|
|
|
{
|
|
|
|
npi = mesh2d.AddPoint (newp, layer);
|
|
|
|
searchtree.Insert (newp, npi);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2011-02-28 17:59:27 +05:00
|
|
|
for (int i = 0; i < splines.Size(); i++)
|
|
|
|
if (GetSpline(i).copyfrom == -1)
|
|
|
|
{
|
|
|
|
// astrid - set boundary meshsize to domain meshsize h
|
|
|
|
// if no domain mesh size is given, the max h value from the bounding box is used
|
2012-08-28 16:36:58 +06:00
|
|
|
double hl = GetDomainMaxh ( GetSpline(i).leftdom );
|
|
|
|
double hr = GetDomainMaxh ( GetSpline(i).rightdom );
|
|
|
|
|
|
|
|
double useh = h;
|
|
|
|
if (hl > 0) useh = min2 (h, hl);
|
|
|
|
if (hr > 0) useh = min2 (h, hr);
|
|
|
|
Partition(GetSpline(i), mp, useh, elto0, mesh2d, searchtree, i+1);
|
2011-02-28 17:59:27 +05:00
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
CopyEdgeMesh (GetSpline(i).copyfrom, i+1, mesh2d, searchtree);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
void SplineGeometry2d :: CopyEdgeMesh (int from, int to, Mesh & mesh, Point3dTree & searchtree)
|
|
|
|
{
|
2019-08-27 17:00:44 +05:00
|
|
|
Array<PointIndex, PointIndex> mappoints (mesh.GetNP());
|
|
|
|
Array<double, PointIndex> param (mesh.GetNP());
|
|
|
|
mappoints = PointIndex::INVALID;
|
2011-02-28 17:59:27 +05:00
|
|
|
param = 0;
|
|
|
|
|
|
|
|
Point3d pmin, pmax;
|
|
|
|
mesh.GetBox (pmin, pmax);
|
|
|
|
double diam2 = Dist2(pmin, pmax);
|
|
|
|
|
2019-08-27 17:00:44 +05:00
|
|
|
PrintMessage(3, string("Copy edge, from ") + ToString(from) + " to " + ToString(to));
|
2011-02-28 17:59:27 +05:00
|
|
|
|
2019-08-27 17:00:44 +05:00
|
|
|
for (const auto& seg : mesh.LineSegments())
|
2011-02-28 17:59:27 +05:00
|
|
|
{
|
|
|
|
if (seg.edgenr == from)
|
|
|
|
{
|
2019-08-27 17:00:44 +05:00
|
|
|
mappoints[seg[0]] = 1;
|
|
|
|
param[seg[0]] = seg.epgeominfo[0].dist;
|
2011-02-28 17:59:27 +05:00
|
|
|
|
2019-08-27 17:00:44 +05:00
|
|
|
mappoints[seg[1]] = 1;
|
|
|
|
param[seg[1]] = seg.epgeominfo[1].dist;
|
2011-02-28 17:59:27 +05:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
bool mapped = false;
|
2019-08-27 17:00:44 +05:00
|
|
|
for (auto i : Range(mappoints))
|
2011-02-28 17:59:27 +05:00
|
|
|
{
|
2019-08-27 17:00:44 +05:00
|
|
|
if (mappoints[i].IsValid())
|
2011-02-28 17:59:27 +05:00
|
|
|
{
|
2019-08-27 17:00:44 +05:00
|
|
|
Point<2> newp = splines.Get(to)->GetPoint (param[i]);
|
2012-08-28 16:43:39 +06:00
|
|
|
Point<3> newp3 (newp(0), newp(1), 0);
|
2011-02-28 17:59:27 +05:00
|
|
|
|
2019-08-27 17:00:44 +05:00
|
|
|
PointIndex npi = PointIndex::INVALID;
|
2011-02-28 17:59:27 +05:00
|
|
|
|
2019-08-27 17:00:44 +05:00
|
|
|
for (auto pi : Range(mesh.Points()))
|
2011-02-28 17:59:27 +05:00
|
|
|
if (Dist2 (mesh.Point(pi), newp3) < 1e-12 * diam2)
|
|
|
|
npi = pi;
|
|
|
|
|
2019-08-27 17:00:44 +05:00
|
|
|
if (!npi.IsValid())
|
2011-02-28 17:59:27 +05:00
|
|
|
{
|
|
|
|
npi = mesh.AddPoint (newp3);
|
|
|
|
searchtree.Insert (newp3, npi);
|
|
|
|
}
|
|
|
|
|
2019-08-27 17:00:44 +05:00
|
|
|
mappoints[i] = npi;
|
2011-02-28 17:59:27 +05:00
|
|
|
|
|
|
|
mesh.GetIdentifications().Add (i, npi, to);
|
|
|
|
mapped = true;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
if(mapped)
|
|
|
|
mesh.GetIdentifications().SetType(to,Identifications::PERIODIC);
|
|
|
|
|
|
|
|
// copy segments
|
|
|
|
int oldnseg = mesh.GetNSeg();
|
2012-08-28 16:43:39 +06:00
|
|
|
for (int i = 1; i <= oldnseg; i++)
|
2011-02-28 17:59:27 +05:00
|
|
|
{
|
|
|
|
const Segment & seg = mesh.LineSegment(i);
|
|
|
|
if (seg.edgenr == from)
|
|
|
|
{
|
|
|
|
Segment nseg;
|
|
|
|
nseg.edgenr = to;
|
|
|
|
nseg.si = GetSpline(to-1).bc; // splines.Get(to)->bc;
|
2019-08-27 17:00:44 +05:00
|
|
|
nseg[0] = mappoints[seg[0]];
|
|
|
|
nseg[1] = mappoints[seg[1]];
|
2011-02-28 17:59:27 +05:00
|
|
|
nseg.domin = GetSpline(to-1).leftdom;
|
|
|
|
nseg.domout = GetSpline(to-1).rightdom;
|
|
|
|
|
|
|
|
nseg.epgeominfo[0].edgenr = to;
|
2019-08-27 17:00:44 +05:00
|
|
|
nseg.epgeominfo[0].dist = param[seg[0]];
|
2011-02-28 17:59:27 +05:00
|
|
|
nseg.epgeominfo[1].edgenr = to;
|
2019-08-27 17:00:44 +05:00
|
|
|
nseg.epgeominfo[1].dist = param[seg[1]];
|
2011-02-28 17:59:27 +05:00
|
|
|
mesh.AddSegment (nseg);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
2009-01-13 04:40:13 +05:00
|
|
|
|
|
|
|
|
|
|
|
void MeshFromSpline2D (SplineGeometry2d & geometry,
|
2014-09-26 02:23:31 +06:00
|
|
|
shared_ptr<Mesh> & mesh,
|
2009-01-13 04:40:13 +05:00
|
|
|
MeshingParameters & mp)
|
|
|
|
{
|
2020-10-16 21:28:09 +05:00
|
|
|
static Timer tall("MeshFromSpline2D"); RegionTimer rtall(tall);
|
|
|
|
static Timer t_h("SetH");
|
|
|
|
static Timer t_tensor("tensor domain meshing");
|
|
|
|
static Timer t_part_boundary("PartitionBoundary");
|
|
|
|
static Timer t_hpref("mark hpref points");
|
2009-01-13 04:40:13 +05:00
|
|
|
PrintMessage (1, "Generate Mesh from spline geometry");
|
|
|
|
|
|
|
|
Box<2> bbox = geometry.GetBoundingBox ();
|
|
|
|
|
2020-10-16 21:28:09 +05:00
|
|
|
t_h.Start();
|
2015-10-30 23:50:40 +05:00
|
|
|
if (bbox.Diam() < mp.maxh)
|
|
|
|
mp.maxh = bbox.Diam();
|
|
|
|
|
|
|
|
// double h = mp.maxh;
|
2009-01-13 04:40:13 +05:00
|
|
|
|
2014-10-08 18:46:25 +06:00
|
|
|
// mesh = make_shared<Mesh>();
|
2009-01-13 04:40:13 +05:00
|
|
|
mesh->SetDimension (2);
|
|
|
|
|
2012-08-28 16:36:58 +06:00
|
|
|
Point3d pmin(bbox.PMin()(0), bbox.PMin()(1), -bbox.Diam());
|
|
|
|
Point3d pmax(bbox.PMax()(0), bbox.PMax()(1), bbox.Diam());
|
|
|
|
|
2014-09-25 20:51:57 +06:00
|
|
|
mesh->SetLocalH (pmin, pmax, mp.grading);
|
2015-10-30 23:50:40 +05:00
|
|
|
mesh->SetGlobalH (mp.maxh);
|
2012-08-28 16:36:58 +06:00
|
|
|
|
|
|
|
|
|
|
|
|
2020-10-16 21:28:09 +05:00
|
|
|
t_part_boundary.Start();
|
2015-10-30 23:50:40 +05:00
|
|
|
geometry.PartitionBoundary (mp, mp.maxh, *mesh);
|
2020-10-16 21:28:09 +05:00
|
|
|
t_part_boundary.Stop();
|
2014-09-26 17:51:10 +06:00
|
|
|
|
|
|
|
PrintMessage (3, "Boundary mesh done, np = ", mesh->GetNP());
|
2009-01-13 04:40:13 +05:00
|
|
|
|
2010-03-23 02:41:07 +05:00
|
|
|
|
2020-10-16 21:28:09 +05:00
|
|
|
t_hpref.Start();
|
2009-01-13 04:40:13 +05:00
|
|
|
// marks mesh points for hp-refinement
|
|
|
|
for (int i = 0; i < geometry.GetNP(); i++)
|
|
|
|
if (geometry.GetPoint(i).hpref)
|
|
|
|
{
|
|
|
|
double mindist = 1e99;
|
|
|
|
PointIndex mpi(0);
|
|
|
|
Point<2> gp = geometry.GetPoint(i);
|
|
|
|
Point<3> gp3(gp(0), gp(1), 0);
|
|
|
|
for (PointIndex pi = PointIndex::BASE;
|
|
|
|
pi < mesh->GetNP()+PointIndex::BASE; pi++)
|
|
|
|
if (Dist2(gp3, (*mesh)[pi]) < mindist)
|
|
|
|
{
|
|
|
|
mpi = pi;
|
|
|
|
mindist = Dist2(gp3, (*mesh)[pi]);
|
|
|
|
}
|
2017-10-03 09:33:39 +05:00
|
|
|
(*mesh)[mpi].Singularity(geometry.GetPoint(i).hpref);
|
2009-01-13 04:40:13 +05:00
|
|
|
}
|
2020-10-16 21:28:09 +05:00
|
|
|
t_hpref.Stop();
|
2009-01-13 04:40:13 +05:00
|
|
|
|
|
|
|
|
|
|
|
int maxdomnr = 0;
|
|
|
|
for (SegmentIndex si = 0; si < mesh->GetNSeg(); si++)
|
|
|
|
{
|
|
|
|
if ( (*mesh)[si].domin > maxdomnr) maxdomnr = (*mesh)[si].domin;
|
|
|
|
if ( (*mesh)[si].domout > maxdomnr) maxdomnr = (*mesh)[si].domout;
|
|
|
|
}
|
|
|
|
|
2020-10-22 15:04:32 +05:00
|
|
|
TableCreator<const Segment*> dom2seg_creator(maxdomnr+1);
|
|
|
|
for ( ; !dom2seg_creator.Done(); dom2seg_creator++)
|
|
|
|
for (const Segment & seg : mesh->LineSegments())
|
|
|
|
{
|
|
|
|
dom2seg_creator.Add (seg.domin, &seg);
|
2020-11-20 00:07:03 +05:00
|
|
|
if (seg.domin != seg.domout)
|
|
|
|
dom2seg_creator.Add (seg.domout, &seg);
|
2020-10-22 15:04:32 +05:00
|
|
|
}
|
|
|
|
auto dom2seg = dom2seg_creator.MoveTable();
|
|
|
|
|
2009-01-13 04:40:13 +05:00
|
|
|
mesh->ClearFaceDescriptors();
|
|
|
|
for (int i = 1; i <= maxdomnr; i++)
|
|
|
|
mesh->AddFaceDescriptor (FaceDescriptor (i, 0, 0, i));
|
|
|
|
|
2019-07-09 13:39:16 +05:00
|
|
|
// set NgArray<string*> bcnames...
|
2009-01-13 04:40:13 +05:00
|
|
|
// number of bcnames
|
|
|
|
int maxsegmentindex = 0;
|
|
|
|
for (SegmentIndex si = 0; si < mesh->GetNSeg(); si++)
|
2014-09-26 17:51:10 +06:00
|
|
|
if ( (*mesh)[si].si > maxsegmentindex) maxsegmentindex = (*mesh)[si].si;
|
2009-01-13 04:40:13 +05:00
|
|
|
|
2019-01-31 00:54:25 +05:00
|
|
|
mesh->SetNBCNames(maxsegmentindex);
|
2009-01-13 04:40:13 +05:00
|
|
|
|
2019-01-31 00:54:25 +05:00
|
|
|
for ( int sindex = 0; sindex < maxsegmentindex; sindex++ )
|
2009-04-20 03:15:26 +06:00
|
|
|
mesh->SetBCName ( sindex, geometry.GetBCName( sindex+1 ) );
|
2009-01-13 04:40:13 +05:00
|
|
|
|
2014-09-25 20:51:57 +06:00
|
|
|
mesh->CalcLocalH(mp.grading);
|
2020-10-16 21:28:09 +05:00
|
|
|
t_h.Stop();
|
2009-01-13 04:40:13 +05:00
|
|
|
|
|
|
|
int bnp = mesh->GetNP(); // boundary points
|
2014-12-02 18:23:36 +05:00
|
|
|
auto BndPntRange = mesh->Points().Range();
|
2009-01-13 04:40:13 +05:00
|
|
|
|
2014-09-25 20:51:57 +06:00
|
|
|
int hquad = mp.quad;
|
2009-01-13 04:40:13 +05:00
|
|
|
|
|
|
|
|
|
|
|
for (int domnr = 1; domnr <= maxdomnr; domnr++)
|
|
|
|
if (geometry.GetDomainTensorMeshing (domnr))
|
|
|
|
{ // tensor product mesh
|
2020-10-16 21:28:09 +05:00
|
|
|
RegionTimer rt(t_tensor);
|
2009-01-13 04:40:13 +05:00
|
|
|
|
2019-07-09 13:39:16 +05:00
|
|
|
NgArray<PointIndex, PointIndex::BASE> nextpi(bnp);
|
|
|
|
NgArray<int, PointIndex::BASE> si1(bnp), si2(bnp);
|
2019-08-07 21:36:16 +05:00
|
|
|
// PointIndex firstpi;
|
2009-01-13 04:40:13 +05:00
|
|
|
|
|
|
|
nextpi = -1;
|
|
|
|
si1 = -1;
|
|
|
|
si2 = -1;
|
|
|
|
for (SegmentIndex si = 0; si < mesh->GetNSeg(); si++)
|
|
|
|
{
|
|
|
|
int p1 = -1, p2 = -2;
|
|
|
|
|
|
|
|
if ( (*mesh)[si].domin == domnr)
|
2009-04-03 20:39:52 +06:00
|
|
|
{ p1 = (*mesh)[si][0]; p2 = (*mesh)[si][1]; }
|
2009-01-13 04:40:13 +05:00
|
|
|
if ( (*mesh)[si].domout == domnr)
|
2009-04-03 20:39:52 +06:00
|
|
|
{ p1 = (*mesh)[si][1]; p2 = (*mesh)[si][0]; }
|
2009-01-13 04:40:13 +05:00
|
|
|
|
|
|
|
if (p1 == -1) continue;
|
|
|
|
|
|
|
|
nextpi[p1] = p2; // counter-clockwise
|
|
|
|
|
|
|
|
int index = (*mesh)[si].si;
|
|
|
|
if (si1[p1] != index && si2[p1] != index)
|
|
|
|
{ si2[p1] = si1[p1]; si1[p1] = index; }
|
|
|
|
if (si1[p2] != index && si2[p2] != index)
|
|
|
|
{ si2[p2] = si1[p2]; si1[p2] = index; }
|
|
|
|
}
|
|
|
|
|
|
|
|
PointIndex c1(0), c2, c3, c4; // 4 corner points
|
|
|
|
int nex = 1, ney = 1;
|
|
|
|
|
|
|
|
for (PointIndex pi = 1; pi <= si2.Size(); pi++)
|
|
|
|
if (si2[pi] != -1)
|
|
|
|
{ c1 = pi; break; }
|
|
|
|
|
|
|
|
for (c2 = nextpi[c1]; si2[c2] == -1; c2 = nextpi[c2], nex++);
|
|
|
|
for (c3 = nextpi[c2]; si2[c3] == -1; c3 = nextpi[c3], ney++);
|
|
|
|
for (c4 = nextpi[c3]; si2[c4] == -1; c4 = nextpi[c4]);
|
|
|
|
|
|
|
|
|
|
|
|
|
2019-07-09 13:39:16 +05:00
|
|
|
NgArray<PointIndex> pts ( (nex+1) * (ney+1) ); // x ... inner loop
|
2009-01-13 04:40:13 +05:00
|
|
|
pts = -1;
|
|
|
|
|
|
|
|
for (PointIndex pi = c1, i = 0; pi != c2; pi = nextpi[pi], i++)
|
|
|
|
pts[i] = pi;
|
|
|
|
for (PointIndex pi = c2, i = 0; pi != c3; pi = nextpi[pi], i++)
|
|
|
|
pts[(nex+1)*i+nex] = pi;
|
|
|
|
for (PointIndex pi = c3, i = 0; pi != c4; pi = nextpi[pi], i++)
|
|
|
|
pts[(nex+1)*(ney+1)-i-1] = pi;
|
|
|
|
for (PointIndex pi = c4, i = 0; pi != c1; pi = nextpi[pi], i++)
|
|
|
|
pts[(nex+1)*(ney-i)] = pi;
|
|
|
|
|
|
|
|
|
|
|
|
for (PointIndex pix = nextpi[c1], ix = 0; pix != c2; pix = nextpi[pix], ix++)
|
2020-06-08 13:41:22 +05:00
|
|
|
{
|
|
|
|
Point<3> px = (*mesh)[pix];
|
2009-01-13 04:40:13 +05:00
|
|
|
for (PointIndex piy = nextpi[c2], iy = 0; piy != c3; piy = nextpi[piy], iy++)
|
|
|
|
{
|
2020-06-08 13:41:22 +05:00
|
|
|
double lam = Dist((*mesh)[piy],(*mesh)[c2]) / Dist((*mesh)[c3],(*mesh)[c2]);
|
|
|
|
auto pix1 = pts[(nex+1)*ney+ix+1];
|
|
|
|
auto pnew = px + lam*((*mesh)[pix1]-px);
|
|
|
|
pts[(nex+1)*(iy+1) + ix+1] = mesh -> AddPoint (pnew, 1, FIXEDPOINT);
|
2009-01-13 04:40:13 +05:00
|
|
|
}
|
2020-06-08 13:41:22 +05:00
|
|
|
}
|
2009-01-13 04:40:13 +05:00
|
|
|
|
|
|
|
for (int i = 0; i < ney; i++)
|
|
|
|
for (int j = 0; j < nex; j++)
|
|
|
|
{
|
|
|
|
Element2d el(QUAD);
|
|
|
|
el[0] = pts[i*(nex+1)+j];
|
|
|
|
el[1] = pts[i*(nex+1)+j+1];
|
|
|
|
el[2] = pts[(i+1)*(nex+1)+j+1];
|
|
|
|
el[3] = pts[(i+1)*(nex+1)+j];
|
|
|
|
el.SetIndex (domnr);
|
|
|
|
|
|
|
|
mesh -> AddSurfaceElement (el);
|
|
|
|
}
|
2020-06-23 21:52:29 +05:00
|
|
|
char* material;
|
|
|
|
geometry.GetMaterial(domnr, material);
|
|
|
|
if(material)
|
|
|
|
mesh->SetMaterial(domnr, material);
|
2009-01-13 04:40:13 +05:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2020-10-16 21:28:09 +05:00
|
|
|
static Timer t_domain("Mesh domain");
|
2020-10-22 15:04:32 +05:00
|
|
|
static Timer t_points("Mesh domain - find points");
|
2009-01-13 04:40:13 +05:00
|
|
|
for (int domnr = 1; domnr <= maxdomnr; domnr++)
|
|
|
|
{
|
2020-10-16 21:28:09 +05:00
|
|
|
RegionTimer rt(t_domain);
|
2009-01-13 04:40:13 +05:00
|
|
|
if (geometry.GetDomainTensorMeshing (domnr)) continue;
|
2015-10-30 23:50:40 +05:00
|
|
|
|
|
|
|
double h = mp.maxh;
|
2009-01-13 04:40:13 +05:00
|
|
|
if ( geometry.GetDomainMaxh ( domnr ) > 0 )
|
|
|
|
h = geometry.GetDomainMaxh(domnr);
|
|
|
|
|
|
|
|
|
|
|
|
PrintMessage (3, "Meshing domain ", domnr, " / ", maxdomnr);
|
|
|
|
|
|
|
|
int oldnf = mesh->GetNSE();
|
|
|
|
|
2014-09-25 20:51:57 +06:00
|
|
|
mp.quad = hquad || geometry.GetDomainQuadMeshing (domnr);
|
2009-01-13 04:40:13 +05:00
|
|
|
|
2019-10-28 17:44:51 +05:00
|
|
|
Meshing2 meshing (geometry, mp, Box<3> (pmin, pmax));
|
2009-01-13 04:40:13 +05:00
|
|
|
|
2020-10-16 21:28:09 +05:00
|
|
|
NgArray<int, PointIndex::BASE> compress(mesh->GetNP());
|
2009-09-07 17:50:13 +06:00
|
|
|
compress = -1;
|
|
|
|
int cnt = 0;
|
2020-10-16 21:28:09 +05:00
|
|
|
|
2020-10-22 15:04:32 +05:00
|
|
|
t_points.Start();
|
|
|
|
/*
|
2020-10-16 21:28:09 +05:00
|
|
|
for (SegmentIndex si = 0; si < mesh->GetNSeg(); si++)
|
|
|
|
{
|
|
|
|
const auto & s = (*mesh)[si];
|
|
|
|
if ( s.domin==domnr || s.domout==domnr )
|
|
|
|
{
|
|
|
|
for (auto pi : {s[0], s[1]})
|
|
|
|
{
|
|
|
|
if(compress[pi]==-1)
|
|
|
|
{
|
|
|
|
meshing.AddPoint((*mesh)[pi], pi);
|
|
|
|
cnt++;
|
|
|
|
compress[pi] = cnt;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
2020-10-22 15:04:32 +05:00
|
|
|
*/
|
|
|
|
for (const Segment * seg : dom2seg[domnr])
|
|
|
|
if (seg->domin==domnr || seg->domout==domnr )
|
|
|
|
for (auto pi : {(*seg)[0], (*seg)[1]})
|
|
|
|
if (compress[pi]==-1)
|
|
|
|
{
|
|
|
|
meshing.AddPoint((*mesh)[pi], pi);
|
|
|
|
cnt++;
|
|
|
|
compress[pi] = cnt;
|
|
|
|
}
|
|
|
|
|
2009-01-13 04:40:13 +05:00
|
|
|
|
|
|
|
PointGeomInfo gi;
|
|
|
|
gi.trignum = 1;
|
2020-10-22 15:04:32 +05:00
|
|
|
/*
|
2009-01-13 04:40:13 +05:00
|
|
|
for (SegmentIndex si = 0; si < mesh->GetNSeg(); si++)
|
|
|
|
{
|
|
|
|
if ( (*mesh)[si].domin == domnr)
|
2009-09-07 17:50:13 +06:00
|
|
|
{
|
2014-12-02 18:23:36 +05:00
|
|
|
meshing.AddBoundaryElement (compress[(*mesh)[si][0]],
|
|
|
|
compress[(*mesh)[si][1]], gi, gi);
|
2009-09-07 17:50:13 +06:00
|
|
|
}
|
2009-01-13 04:40:13 +05:00
|
|
|
if ( (*mesh)[si].domout == domnr)
|
2009-09-07 17:50:13 +06:00
|
|
|
{
|
2014-12-02 18:23:36 +05:00
|
|
|
meshing.AddBoundaryElement (compress[(*mesh)[si][1]],
|
|
|
|
compress[(*mesh)[si][0]], gi, gi);
|
2009-09-07 17:50:13 +06:00
|
|
|
}
|
2009-01-13 04:40:13 +05:00
|
|
|
}
|
2020-10-22 15:04:32 +05:00
|
|
|
*/
|
|
|
|
|
|
|
|
for (const Segment * seg : dom2seg[domnr])
|
|
|
|
{
|
|
|
|
if (seg->domin == domnr)
|
|
|
|
meshing.AddBoundaryElement (compress[(*seg)[0]],
|
|
|
|
compress[(*seg)[1]], gi, gi);
|
|
|
|
|
|
|
|
if (seg->domout == domnr)
|
|
|
|
meshing.AddBoundaryElement (compress[(*seg)[1]],
|
|
|
|
compress[(*seg)[0]], gi, gi);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
t_points.Stop();
|
2009-01-13 04:40:13 +05:00
|
|
|
|
2020-10-25 20:31:47 +05:00
|
|
|
if(mp.delaunay2d && cnt>1)
|
2020-10-16 21:28:09 +05:00
|
|
|
meshing.Delaunay(*mesh, domnr, mp);
|
|
|
|
else
|
|
|
|
{
|
|
|
|
// mp.checkoverlap = 0;
|
|
|
|
auto res = meshing.GenerateMesh (*mesh, mp, h, domnr);
|
|
|
|
if (res != 0)
|
|
|
|
throw NgException("meshing failed");
|
|
|
|
}
|
2018-12-04 13:49:53 +05:00
|
|
|
|
2009-01-13 04:40:13 +05:00
|
|
|
for (SurfaceElementIndex sei = oldnf; sei < mesh->GetNSE(); sei++)
|
|
|
|
(*mesh)[sei].SetIndex (domnr);
|
|
|
|
|
|
|
|
// astrid
|
|
|
|
char * material;
|
2014-12-02 18:23:36 +05:00
|
|
|
geometry.GetMaterial (domnr, material);
|
|
|
|
if (material)
|
|
|
|
mesh->SetMaterial (domnr, material);
|
2009-01-13 04:40:13 +05:00
|
|
|
}
|
|
|
|
|
2020-10-25 20:31:47 +05:00
|
|
|
mesh->Compress();
|
|
|
|
|
2014-09-25 20:51:57 +06:00
|
|
|
mp.quad = hquad;
|
2009-01-13 04:40:13 +05:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
int hsteps = mp.optsteps2d;
|
|
|
|
|
|
|
|
mp.optimize2d = "smcm";
|
|
|
|
mp.optsteps2d = hsteps/2;
|
|
|
|
Optimize2d (*mesh, mp);
|
|
|
|
|
|
|
|
mp.optimize2d = "Smcm";
|
|
|
|
mp.optsteps2d = (hsteps+1)/2;
|
|
|
|
Optimize2d (*mesh, mp);
|
|
|
|
|
|
|
|
mp.optsteps2d = hsteps;
|
|
|
|
|
|
|
|
mesh->Compress();
|
2016-05-13 15:06:12 +05:00
|
|
|
mesh->OrderElements();
|
2009-01-13 04:40:13 +05:00
|
|
|
mesh -> SetNextMajorTimeStamp();
|
|
|
|
|
2014-09-26 16:49:21 +06:00
|
|
|
mp.Render();
|
2009-01-13 04:40:13 +05:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
}
|