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https://github.com/NGSolve/netgen.git
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613 lines
15 KiB
C++
613 lines
15 KiB
C++
#include <meshing.hpp>
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#include <geometry2d.hpp>
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namespace netgen
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{
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// extern DLL_HEADER MeshingParameters mparam;
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extern void Optimize2d (Mesh & mesh, MeshingParameters & mp);
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void CalcPartition (const SplineSegExt & spline,
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// double l,
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MeshingParameters & mp, Mesh & mesh,
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// double h, double h1, double h2, double hcurve,
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double elto0, Array<double> & points)
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{
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double fperel, oldf, f;
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int n = 10000;
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Array<Point<2> > xi(n);
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Array<double> hi(n);
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for (int i = 0; i < n; i++)
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{
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xi[i] = spline.GetPoint ( (i+0.5) / n );
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hi[i] = mesh.GetH (Point<3> (xi[i](0), xi[i](1), 0));
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}
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// limit slope
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double gradh = 1/elto0;
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for (int i = 0; i < n-1; i++)
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{
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double hnext = hi[i] + gradh * (xi[i+1]-xi[i]).Length();
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hi[i+1] = min(hi[i+1], hnext);
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}
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for (int i = n-1; i > 1; i--)
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{
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double hnext = hi[i] + gradh * (xi[i-1]-xi[i]).Length();
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hi[i-1] = min(hi[i-1], hnext);
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}
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points.SetSize (0);
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double len = spline.Length();
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double dt = len / n;
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double sum = 0;
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for (int i = 1; i <= n; i++)
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{
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// double t = (i-0.5)*dt;
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double fun = hi[i-1];
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sum += dt / fun;
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}
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int nel = int (sum+1);
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fperel = sum / nel;
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points.Append (0);
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int i = 1;
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oldf = 0;
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for (int j = 1; j <= n && i < nel; j++)
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{
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double t = (j-0.5)*dt;
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double fun = hi[j-1];
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f = oldf + dt / fun;
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while (i * fperel < f && i < nel)
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{
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points.Append ( dt * (j-1) + (i * fperel - oldf) * fun);
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i++;
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}
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oldf = f;
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t += dt;
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}
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points.Append (len);
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}
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// partitionizes spline curve
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void Partition (const SplineSegExt & spline,
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MeshingParameters & mp, double hxxx, double elto0,
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Mesh & mesh, Point3dTree & searchtree, int segnr)
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{
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int n = 100;
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Point<2> mark, oldmark;
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Array<double> curvepoints;
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double edgelength, edgelengthold;
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CalcPartition (spline, mp, mesh, elto0, curvepoints);
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double dt = 1.0 / n;
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int j = 1;
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Point<2> pold = spline.GetPoint (0);
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double lold = 0;
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oldmark = pold;
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edgelengthold = 0;
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Array<int> locsearch;
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for (int i = 1; i <= n; i++)
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{
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Point<2> p = spline.GetPoint (i*dt);
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double l = lold + Dist (p, pold);
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while (j < curvepoints.Size() && (l >= curvepoints[j] || i == n))
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{
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double frac = (curvepoints[j]-lold) / (l-lold);
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edgelength = i*dt + (frac-1)*dt;
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mark = spline.GetPoint (edgelength);
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{
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PointIndex pi1 = -1, pi2 = -1;
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Point3d mark3(mark(0), mark(1), 0);
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Point3d oldmark3(oldmark(0), oldmark(1), 0);
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double h = mesh.GetH (Point<3> (oldmark(0), oldmark(1), 0));
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Vec<3> v (1e-4*h, 1e-4*h, 1e-4*h);
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searchtree.GetIntersecting (oldmark3 - v, oldmark3 + v, locsearch);
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for (int k = 0; k < locsearch.Size(); k++)
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if ( mesh[PointIndex(locsearch[k])].GetLayer() == spline.layer)
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pi1 = locsearch[k];
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searchtree.GetIntersecting (mark3 - v, mark3 + v, locsearch);
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for (int k = 0; k < locsearch.Size(); k++)
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if ( mesh[PointIndex(locsearch[k])].GetLayer() == spline.layer)
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pi2 = locsearch[k];
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if (pi1 == -1)
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{
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pi1 = mesh.AddPoint(oldmark3, spline.layer);
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searchtree.Insert (oldmark3, pi1);
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}
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if (pi2 == -1)
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{
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pi2 = mesh.AddPoint(mark3, spline.layer);
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searchtree.Insert (mark3, pi2);
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}
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Segment seg;
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seg.edgenr = segnr;
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seg.si = spline.bc; // segnr;
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seg[0] = pi1;
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seg[1] = pi2;
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seg.domin = spline.leftdom;
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seg.domout = spline.rightdom;
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seg.epgeominfo[0].edgenr = segnr;
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seg.epgeominfo[0].dist = edgelengthold;
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seg.epgeominfo[1].edgenr = segnr;
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seg.epgeominfo[1].dist = edgelength;
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seg.singedge_left = spline.hpref_left;
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seg.singedge_right = spline.hpref_right;
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mesh.AddSegment (seg);
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}
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oldmark = mark;
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edgelengthold = edgelength;
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j++;
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}
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pold = p;
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lold = l;
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}
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}
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void SplineGeometry2d :: PartitionBoundary (MeshingParameters & mp, double h, Mesh & mesh2d)
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{
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enum { D = 2 };
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Box<D> bbox;
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GetBoundingBox (bbox);
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double dist = Dist (bbox.PMin(), bbox.PMax());
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Point<3> pmin;
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Point<3> pmax;
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pmin(2) = -dist; pmax(2) = dist;
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for(int j=0;j<D;j++)
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{
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pmin(j) = bbox.PMin()(j);
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pmax(j) = bbox.PMax()(j);
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}
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Point3dTree searchtree (pmin, pmax);
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for (int i = 0; i < splines.Size(); i++)
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for (int side = 0; side <= 1; side++)
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{
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int dom = (side == 0) ? GetSpline(i).leftdom : GetSpline(i).rightdom;
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if (dom != 0) GetSpline(i).layer = GetDomainLayer (dom);
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}
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// mesh size restrictions ...
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for (int i = 0; i < splines.Size(); i++)
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{
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const SplineSegExt & spline = GetSpline(i);
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const GeomPoint<2> & p1 = spline.StartPI();
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const GeomPoint<2> & p2 = spline.EndPI();
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double h1 = min (p1.hmax, h/p1.refatpoint);
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mesh2d.RestrictLocalH (Point<3>(p1(0),p1(1),0), h1);
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double h2 = min (p2.hmax, h/p2.refatpoint);
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mesh2d.RestrictLocalH (Point<3>(p2(0),p2(1),0), h2);
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double len = spline.Length();
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mesh2d.RestrictLocalHLine (Point<3>(p1(0),p1(1),0),
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Point<3>(p2(0),p2(1),0), len/mp.segmentsperedge);
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double hcurve = min (spline.hmax, h/spline.reffak);
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double hl = GetDomainMaxh (spline.leftdom);
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if (hl > 0) hcurve = min2 (hcurve, hl);
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double hr = GetDomainMaxh (spline.rightdom);
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if (hr > 0) hcurve = min2 (hcurve, hr);
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int np = 1000;
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for (double t = 0.5/np; t < 1; t += 1.0/np)
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{
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Point<2> x = spline.GetPoint(t);
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double hc = 1.0/mp.curvaturesafety / (1e-99+spline.CalcCurvature (t));
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mesh2d.RestrictLocalH (Point<3> (x(0), x(1), 0), min2(hc, hcurve));
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}
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}
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for (int i = 0; i < splines.Size(); i++)
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if (GetSpline(i).copyfrom == -1)
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{
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// astrid - set boundary meshsize to domain meshsize h
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// if no domain mesh size is given, the max h value from the bounding box is used
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double hl = GetDomainMaxh ( GetSpline(i).leftdom );
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double hr = GetDomainMaxh ( GetSpline(i).rightdom );
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double useh = h;
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if (hl > 0) useh = min2 (h, hl);
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if (hr > 0) useh = min2 (h, hr);
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Partition(GetSpline(i), mp, useh, elto0, mesh2d, searchtree, i+1);
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}
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else
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{
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CopyEdgeMesh (GetSpline(i).copyfrom, i+1, mesh2d, searchtree);
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}
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}
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void SplineGeometry2d :: CopyEdgeMesh (int from, int to, Mesh & mesh, Point3dTree & searchtree)
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{
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// const int D = 2;
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Array<int, PointIndex::BASE> mappoints (mesh.GetNP());
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Array<double, PointIndex::BASE> param (mesh.GetNP());
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mappoints = -1;
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param = 0;
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Point3d pmin, pmax;
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mesh.GetBox (pmin, pmax);
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double diam2 = Dist2(pmin, pmax);
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if (printmessage_importance>0)
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cout << "copy edge, from = " << from << " to " << to << endl;
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for (int i = 1; i <= mesh.GetNSeg(); i++)
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{
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const Segment & seg = mesh.LineSegment(i);
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if (seg.edgenr == from)
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{
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mappoints.Elem(seg[0]) = 1;
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param.Elem(seg[0]) = seg.epgeominfo[0].dist;
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mappoints.Elem(seg[1]) = 1;
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param.Elem(seg[1]) = seg.epgeominfo[1].dist;
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}
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}
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bool mapped = false;
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for (int i = 1; i <= mappoints.Size(); i++)
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{
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if (mappoints.Get(i) != -1)
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{
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Point<2> newp = splines.Get(to)->GetPoint (param.Get(i));
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Point<3> newp3 (newp(0), newp(1), 0);
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int npi = -1;
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for (PointIndex pi = PointIndex::BASE;
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pi < mesh.GetNP()+PointIndex::BASE; pi++)
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if (Dist2 (mesh.Point(pi), newp3) < 1e-12 * diam2)
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npi = pi;
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if (npi == -1)
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{
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npi = mesh.AddPoint (newp3);
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searchtree.Insert (newp3, npi);
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}
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mappoints.Elem(i) = npi;
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mesh.GetIdentifications().Add (i, npi, to);
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mapped = true;
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}
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}
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if(mapped)
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mesh.GetIdentifications().SetType(to,Identifications::PERIODIC);
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// copy segments
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int oldnseg = mesh.GetNSeg();
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for (int i = 1; i <= oldnseg; i++)
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{
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const Segment & seg = mesh.LineSegment(i);
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if (seg.edgenr == from)
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{
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Segment nseg;
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nseg.edgenr = to;
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nseg.si = GetSpline(to-1).bc; // splines.Get(to)->bc;
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nseg[0] = mappoints.Get(seg[0]);
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nseg[1] = mappoints.Get(seg[1]);
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nseg.domin = GetSpline(to-1).leftdom;
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nseg.domout = GetSpline(to-1).rightdom;
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nseg.epgeominfo[0].edgenr = to;
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nseg.epgeominfo[0].dist = param.Get(seg[0]);
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nseg.epgeominfo[1].edgenr = to;
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nseg.epgeominfo[1].dist = param.Get(seg[1]);
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mesh.AddSegment (nseg);
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}
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}
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}
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void MeshFromSpline2D (SplineGeometry2d & geometry,
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shared_ptr<Mesh> & mesh,
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MeshingParameters & mp)
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{
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PrintMessage (1, "Generate Mesh from spline geometry");
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double h = mp.maxh;
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Box<2> bbox = geometry.GetBoundingBox ();
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if (bbox.Diam() < h)
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{
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h = bbox.Diam();
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mp.maxh = h;
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}
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mesh = make_shared<Mesh>();
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mesh->SetDimension (2);
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Point3d pmin(bbox.PMin()(0), bbox.PMin()(1), -bbox.Diam());
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Point3d pmax(bbox.PMax()(0), bbox.PMax()(1), bbox.Diam());
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mesh->SetLocalH (pmin, pmax, mp.grading);
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mesh->SetGlobalH (h);
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geometry.PartitionBoundary (mp, h, *mesh);
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// marks mesh points for hp-refinement
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for (int i = 0; i < geometry.GetNP(); i++)
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if (geometry.GetPoint(i).hpref)
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{
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double mindist = 1e99;
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PointIndex mpi(0);
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Point<2> gp = geometry.GetPoint(i);
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Point<3> gp3(gp(0), gp(1), 0);
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for (PointIndex pi = PointIndex::BASE;
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pi < mesh->GetNP()+PointIndex::BASE; pi++)
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if (Dist2(gp3, (*mesh)[pi]) < mindist)
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{
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mpi = pi;
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mindist = Dist2(gp3, (*mesh)[pi]);
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}
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(*mesh)[mpi].Singularity(1.);
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}
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int maxdomnr = 0;
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for (SegmentIndex si = 0; si < mesh->GetNSeg(); si++)
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{
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if ( (*mesh)[si].domin > maxdomnr) maxdomnr = (*mesh)[si].domin;
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if ( (*mesh)[si].domout > maxdomnr) maxdomnr = (*mesh)[si].domout;
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}
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mesh->ClearFaceDescriptors();
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for (int i = 1; i <= maxdomnr; i++)
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mesh->AddFaceDescriptor (FaceDescriptor (i, 0, 0, i));
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// set Array<string*> bcnames...
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// number of bcnames
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int maxsegmentindex = 0;
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for (SegmentIndex si = 0; si < mesh->GetNSeg(); si++)
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{
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if ( (*mesh)[si].si > maxsegmentindex) maxsegmentindex = (*mesh)[si].si;
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}
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mesh->SetNBCNames(maxsegmentindex);
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for ( int sindex = 0; sindex < maxsegmentindex; sindex++ )
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mesh->SetBCName ( sindex, geometry.GetBCName( sindex+1 ) );
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for (SegmentIndex si = 0; si < mesh->GetNSeg(); si++)
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(*mesh)[si].SetBCName ( (*mesh).GetBCNamePtr( (*mesh)[si].si-1 ) );
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mesh->CalcLocalH(mp.grading);
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int bnp = mesh->GetNP(); // boundary points
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int hquad = mp.quad;
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for (int domnr = 1; domnr <= maxdomnr; domnr++)
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if (geometry.GetDomainTensorMeshing (domnr))
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{ // tensor product mesh
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Array<PointIndex, PointIndex::BASE> nextpi(bnp);
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Array<int, PointIndex::BASE> si1(bnp), si2(bnp);
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PointIndex firstpi;
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nextpi = -1;
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si1 = -1;
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si2 = -1;
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for (SegmentIndex si = 0; si < mesh->GetNSeg(); si++)
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{
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int p1 = -1, p2 = -2;
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if ( (*mesh)[si].domin == domnr)
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{ p1 = (*mesh)[si][0]; p2 = (*mesh)[si][1]; }
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if ( (*mesh)[si].domout == domnr)
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{ p1 = (*mesh)[si][1]; p2 = (*mesh)[si][0]; }
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if (p1 == -1) continue;
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nextpi[p1] = p2; // counter-clockwise
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int index = (*mesh)[si].si;
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if (si1[p1] != index && si2[p1] != index)
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{ si2[p1] = si1[p1]; si1[p1] = index; }
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if (si1[p2] != index && si2[p2] != index)
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{ si2[p2] = si1[p2]; si1[p2] = index; }
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}
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PointIndex c1(0), c2, c3, c4; // 4 corner points
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int nex = 1, ney = 1;
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for (PointIndex pi = 1; pi <= si2.Size(); pi++)
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if (si2[pi] != -1)
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{ c1 = pi; break; }
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for (c2 = nextpi[c1]; si2[c2] == -1; c2 = nextpi[c2], nex++);
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for (c3 = nextpi[c2]; si2[c3] == -1; c3 = nextpi[c3], ney++);
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for (c4 = nextpi[c3]; si2[c4] == -1; c4 = nextpi[c4]);
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Array<PointIndex> pts ( (nex+1) * (ney+1) ); // x ... inner loop
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pts = -1;
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for (PointIndex pi = c1, i = 0; pi != c2; pi = nextpi[pi], i++)
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pts[i] = pi;
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for (PointIndex pi = c2, i = 0; pi != c3; pi = nextpi[pi], i++)
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pts[(nex+1)*i+nex] = pi;
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for (PointIndex pi = c3, i = 0; pi != c4; pi = nextpi[pi], i++)
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pts[(nex+1)*(ney+1)-i-1] = pi;
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for (PointIndex pi = c4, i = 0; pi != c1; pi = nextpi[pi], i++)
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pts[(nex+1)*(ney-i)] = pi;
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for (PointIndex pix = nextpi[c1], ix = 0; pix != c2; pix = nextpi[pix], ix++)
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for (PointIndex piy = nextpi[c2], iy = 0; piy != c3; piy = nextpi[piy], iy++)
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{
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Point<3> p = (*mesh)[pix] + ( (*mesh)[piy] - (*mesh)[c2] );
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pts[(nex+1)*(iy+1) + ix+1] = mesh -> AddPoint (p , 1, FIXEDPOINT);
|
|
}
|
|
|
|
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);
|
|
}
|
|
}
|
|
|
|
|
|
|
|
|
|
for (int domnr = 1; domnr <= maxdomnr; domnr++)
|
|
{
|
|
if (geometry.GetDomainTensorMeshing (domnr)) continue;
|
|
|
|
if ( geometry.GetDomainMaxh ( domnr ) > 0 )
|
|
h = geometry.GetDomainMaxh(domnr);
|
|
|
|
|
|
PrintMessage (3, "Meshing domain ", domnr, " / ", maxdomnr);
|
|
|
|
int oldnf = mesh->GetNSE();
|
|
|
|
mp.quad = hquad || geometry.GetDomainQuadMeshing (domnr);
|
|
|
|
Meshing2 meshing (mp, Box<3> (pmin, pmax));
|
|
|
|
Array<int, PointIndex::BASE> compress(bnp);
|
|
compress = -1;
|
|
int cnt = 0;
|
|
for (PointIndex pi = PointIndex::BASE; pi < bnp+PointIndex::BASE; pi++)
|
|
if ( (*mesh)[pi].GetLayer() == geometry.GetDomainLayer(domnr))
|
|
{
|
|
meshing.AddPoint ( (*mesh)[pi], pi);
|
|
cnt++;
|
|
compress[pi] = cnt;
|
|
}
|
|
|
|
PointGeomInfo gi;
|
|
gi.trignum = 1;
|
|
for (SegmentIndex si = 0; si < mesh->GetNSeg(); si++)
|
|
{
|
|
if ( (*mesh)[si].domin == domnr)
|
|
{
|
|
meshing.AddBoundaryElement ( compress[(*mesh)[si][0]],
|
|
compress[(*mesh)[si][1]], gi, gi);
|
|
}
|
|
if ( (*mesh)[si].domout == domnr)
|
|
{
|
|
meshing.AddBoundaryElement ( compress[(*mesh)[si][1]],
|
|
compress[(*mesh)[si][0]], gi, gi);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
mp.checkoverlap = 0;
|
|
|
|
meshing.GenerateMesh (*mesh, mp, h, domnr);
|
|
|
|
for (SurfaceElementIndex sei = oldnf; sei < mesh->GetNSE(); sei++)
|
|
(*mesh)[sei].SetIndex (domnr);
|
|
|
|
|
|
// astrid
|
|
char * material;
|
|
geometry.GetMaterial( domnr, material );
|
|
if ( material )
|
|
{
|
|
(*mesh).SetMaterial ( domnr, material );
|
|
}
|
|
|
|
}
|
|
|
|
mp.quad = hquad;
|
|
|
|
|
|
|
|
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();
|
|
mesh -> SetNextMajorTimeStamp();
|
|
|
|
|
|
extern DLL_HEADER void Render();
|
|
Render();
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
}
|