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https://github.com/NGSolve/netgen.git
synced 2024-11-11 16:49:16 +05:00
763 lines
22 KiB
C++
763 lines
22 KiB
C++
#include <mystdlib.h>
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#include "meshing.hpp"
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#include "meshing2.hpp"
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#include "../geom2d/csg2d.hpp"
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namespace netgen
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{
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void InsertVirtualBoundaryLayer (Mesh & mesh)
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{
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cout << "Insert virt. b.l." << endl;
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int surfid;
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cout << "Boundary Nr:";
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cin >> surfid;
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int i;
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int np = mesh.GetNP();
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cout << "Old NP: " << mesh.GetNP() << endl;
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cout << "Trigs: " << mesh.GetNSE() << endl;
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NgBitArray bndnodes(np);
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NgArray<int> mapto(np);
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bndnodes.Clear();
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for (i = 1; i <= mesh.GetNSeg(); i++)
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{
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int snr = mesh.LineSegment(i).edgenr;
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cout << "snr = " << snr << endl;
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if (snr == surfid)
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{
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bndnodes.Set (mesh.LineSegment(i)[0]);
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bndnodes.Set (mesh.LineSegment(i)[1]);
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}
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}
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for (i = 1; i <= mesh.GetNSeg(); i++)
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{
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int snr = mesh.LineSegment(i).edgenr;
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if (snr != surfid)
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{
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bndnodes.Clear (mesh.LineSegment(i)[0]);
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bndnodes.Clear (mesh.LineSegment(i)[1]);
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}
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}
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for (i = 1; i <= np; i++)
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{
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if (bndnodes.Test(i))
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mapto.Elem(i) = mesh.AddPoint (mesh.Point (i));
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else
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mapto.Elem(i) = 0;
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}
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for (i = 1; i <= mesh.GetNSE(); i++)
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{
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Element2d & el = mesh.SurfaceElement(i);
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for (int j = 1; j <= el.GetNP(); j++)
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if (mapto.Get(el.PNum(j)))
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el.PNum(j) = mapto.Get(el.PNum(j));
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}
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int nq = 0;
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for (i = 1; i <= mesh.GetNSeg(); i++)
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{
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int snr = mesh.LineSegment(i).edgenr;
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if (snr == surfid)
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{
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int p1 = mesh.LineSegment(i)[0];
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int p2 = mesh.LineSegment(i)[1];
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int p3 = mapto.Get (p1);
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if (!p3) p3 = p1;
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int p4 = mapto.Get (p2);
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if (!p4) p4 = p2;
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Element2d el(QUAD);
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el.PNum(1) = p1;
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el.PNum(2) = p2;
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el.PNum(3) = p3;
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el.PNum(4) = p4;
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el.SetIndex (2);
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mesh.AddSurfaceElement (el);
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nq++;
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}
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}
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cout << "New NP: " << mesh.GetNP() << endl;
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cout << "Quads: " << nq << endl;
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}
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void AddDirection( Vec<3> & a, Vec<3> b )
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{
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if(a.Length2()==0.)
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{
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a = b;
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return;
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}
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if(b.Length2()==0.)
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return;
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auto ab = a * b;
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if(fabs(ab)>1-1e-8)
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return;
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Mat<2> m;
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m(0,0) = a[0];
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m(0,1) = a[1];
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m(1,0) = b[0];
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m(1,1) = b[1];
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Vec<2> lam;
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Vec<2> rhs;
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rhs[0] = a[0]-b[0];
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rhs[1] = a[1]-b[1];
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const auto Dot = [](Vec<3> a, Vec<3> b)
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{ return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]; };
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rhs[0] = Dot(a,a);
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rhs[1] = Dot(b,b);
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m.Solve(rhs, lam);
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a[0] = lam[0];
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a[1] = lam[1];
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a[2] = 0.0;
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return;
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}
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static void Generate2dMesh( Mesh & mesh, int domain )
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{
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Box<3> box{Box<3>::EMPTY_BOX};
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for(const auto & seg : mesh.LineSegments())
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if (seg.domin == domain || seg.domout == domain)
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for (auto pi : {seg[0], seg[1]})
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box.Add(mesh[pi]);
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MeshingParameters mp;
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Meshing2 meshing (*mesh.GetGeometry(), mp, box);
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Array<PointIndex, PointIndex> compress(mesh.GetNP());
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compress = PointIndex::INVALID;
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PointIndex cnt = PointIndex::BASE;
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auto p2sel = mesh.CreatePoint2SurfaceElementTable();
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PointGeomInfo gi;
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gi.u = 0.0;
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gi.v = 0.0;
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gi.trignum = domain;
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for(auto seg : mesh.LineSegments())
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{
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if(seg.domin == domain || seg.domout == domain)
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for (auto pi : {seg[0], seg[1]})
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if (compress[pi]==PointIndex{PointIndex::INVALID})
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{
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meshing.AddPoint(mesh[pi], pi);
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compress[pi] = cnt++;
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}
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if(seg.domin == domain)
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meshing.AddBoundaryElement (compress[seg[0]], compress[seg[1]], gi, gi);
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if(seg.domout == domain)
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meshing.AddBoundaryElement (compress[seg[1]], compress[seg[0]], gi, gi);
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}
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auto oldnf = mesh.GetNSE();
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// auto res =
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meshing.GenerateMesh (mesh, mp, mp.maxh, domain);
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for (SurfaceElementIndex sei : Range(oldnf, mesh.GetNSE()))
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mesh[sei].SetIndex (domain);
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// int hsteps = mp.optsteps2d;
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const char * optstr = mp.optimize2d.c_str();
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MeshOptimize2d meshopt(mesh);
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meshopt.SetFaceIndex(domain);
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meshopt.SetMetricWeight (mp.elsizeweight);
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for (size_t j = 1; j <= strlen(optstr); j++)
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{
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switch (optstr[j-1])
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{
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case 's':
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{ // topological swap
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meshopt.EdgeSwapping (0);
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break;
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}
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case 'S':
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{ // metric swap
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meshopt.EdgeSwapping (1);
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break;
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}
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case 'm':
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{
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meshopt.ImproveMesh(mp);
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break;
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}
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case 'c':
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{
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meshopt.CombineImprove();
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break;
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}
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default:
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cerr << "Optimization code " << optstr[j-1] << " not defined" << endl;
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}
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}
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mesh.Compress();
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mesh.CalcSurfacesOfNode();
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mesh.OrderElements();
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mesh.SetNextMajorTimeStamp();
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}
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int GenerateBoundaryLayer2 (Mesh & mesh, int domain, const Array<double> & thicknesses, bool should_make_new_domain, const Array<int> & boundaries)
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{
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mesh.GetTopology().SetBuildVertex2Element(true);
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mesh.UpdateTopology();
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const auto & line_segments = mesh.LineSegments();
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SegmentIndex first_new_seg = mesh.LineSegments().Range().Next();
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int np = mesh.GetNP();
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int nseg = line_segments.Size();
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// int ne = mesh.GetNSE();
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mesh.UpdateTopology();
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double total_thickness = 0.0;
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for(auto thickness : thicknesses)
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total_thickness += thickness;
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Array<Array<PointIndex>, PointIndex> mapto(np);
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// Bit array to keep track of segments already processed
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BitArray segs_done(nseg);
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segs_done.Clear();
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// moved segments
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Array<SegmentIndex> moved_segs;
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Array<Vec<3>, PointIndex> growthvectors(np);
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growthvectors = 0.;
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auto & meshtopo = mesh.GetTopology();
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Array<SegmentIndex> segments;
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// surface index map
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Array<int> si_map(mesh.GetNFD()+2);
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si_map = -1;
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// int fd_old = mesh.GetNFD();
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int max_edge_nr = -1;
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int max_domain = -1;
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for(const auto& seg : line_segments)
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{
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if(seg.epgeominfo[0].edgenr > max_edge_nr)
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max_edge_nr = seg.epgeominfo[0].edgenr;
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if(seg.domin > max_domain)
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max_domain = seg.domin;
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if(seg.domout > max_domain)
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max_domain = seg.domout;
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}
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int new_domain = max_domain+1;
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BitArray active_boundaries(max_edge_nr+1);
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BitArray active_segments(nseg);
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active_boundaries.Clear();
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active_segments.Clear();
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if(boundaries.Size() == 0)
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active_boundaries.Set();
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else
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for(auto edgenr : boundaries)
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active_boundaries.SetBit(edgenr);
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for(auto segi : Range(line_segments))
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{
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const auto seg = line_segments[segi];
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if(active_boundaries.Test(seg.epgeominfo[0].edgenr) && (seg.domin==domain || seg.domout==domain))
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active_segments.SetBit(segi);
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}
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{
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FaceDescriptor new_fd(0, 0, 0, -1);
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new_fd.SetBCProperty(new_domain);
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// int new_fd_index =
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mesh.AddFaceDescriptor(new_fd);
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if(should_make_new_domain)
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mesh.SetBCName(new_domain-1, "mapped_" + mesh.GetBCName(domain-1));
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}
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for(auto segi : Range(line_segments))
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{
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if(segs_done[segi]) continue;
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segs_done.SetBit(segi);
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const auto& seg = line_segments[segi];
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if(seg.domin != domain && seg.domout != domain) continue;
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if(!active_boundaries.Test(seg.epgeominfo[0].edgenr))
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continue;
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moved_segs.Append(segi);
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}
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// calculate growth vectors (average normal vectors of adjacent segments at each point)
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for (auto si : moved_segs)
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{
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auto & seg = line_segments[si];
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auto n = mesh[seg[1]] - mesh[seg[0]];
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n = {-n[1], n[0], 0};
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n.Normalize();
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if(seg.domout == domain)
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n = -n;
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AddDirection(growthvectors[seg[0]], n);
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AddDirection(growthvectors[seg[1]], n);
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}
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//////////////////////////////////////////////////////////////////////////
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// average growthvectors along straight lines to avoid overlaps in corners
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BitArray points_done(np+1);
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points_done.Clear();
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for(auto si : moved_segs)
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{
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auto current_seg = line_segments[si];
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auto current_si = si;
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auto first = current_seg[0];
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auto current = -1;
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auto next = current_seg[1];
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if(points_done.Test(first))
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continue;
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Array<PointIndex> chain;
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chain.Append(first);
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// first find closed loops of segments
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while(next != current && next != first)
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{
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current = next;
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points_done.SetBit(current);
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chain.Append(current);
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for(auto sj : meshtopo.GetVertexSegments( current ))
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{
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if(!active_segments.Test(sj))
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continue;
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if(sj!=current_si)
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{
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current_si = sj;
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current_seg = mesh[sj];
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next = current_seg[0] + current_seg[1] - current;
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break;
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}
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}
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}
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auto ifirst = 0;
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auto n = chain.Size();
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// angle of adjacent segments at points a[i-1], a[i], a[i+1]
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auto getAngle = [&mesh, &growthvectors] (FlatArray<PointIndex> a, size_t i)
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{
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auto n = a.Size();
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auto v0 = growthvectors[a[(i+n-1)%n]];
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auto v1 = growthvectors[a[i]];
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auto v2 = growthvectors[a[(i+1)%n]];
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auto p0 = mesh[a[(i+n-1)%n]];
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auto p1 = mesh[a[i]];
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auto p2 = mesh[a[(i+1)%n]];
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v0 = p1-p0;
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v1 = p2-p1;
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auto angle = abs(atan2(v1[0], v1[1]) - atan2(v0[0], v0[1]));
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if(angle>M_PI)
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angle = 2*M_PI-angle;
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return angle;
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};
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// find first corner point
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while(getAngle(chain, ifirst) < 1e-5 )
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ifirst = (ifirst+1)%n;
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// Copy points of closed loop in correct order, starting with a corner
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Array<PointIndex> pis(n+1);
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pis.Range(0, n-ifirst) = chain.Range(ifirst, n);
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pis.Range(n-ifirst, n) = chain.Range(0, n-ifirst);
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pis[n] = pis[0];
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Array<double> lengths(n);
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for(auto i : Range(n))
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lengths[i] = (mesh[pis[(i+1)%n]] - mesh[pis[i]]).Length();
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auto averageGrowthVectors = [&] (size_t first, size_t last)
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{
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if(first+1 >= last)
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return;
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double total_len = 0.0;
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for(auto l : lengths.Range(first, last))
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total_len += l;
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double len = lengths[first];
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auto v0 = growthvectors[pis[first]];
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auto v1 = growthvectors[pis[last]];
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for(auto i : Range(first+1, last))
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{
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auto pi = pis[i];
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growthvectors[pi] = (len/total_len)*v1 + (1.0-len/total_len)*v0;
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len += lengths[i];
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}
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};
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auto icurrent = 0;
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while(icurrent<n)
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{
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auto ilast = icurrent+1;
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while(getAngle(pis, ilast) < 1e-5 && ilast < n)
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ilast++;
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// found straight line -> average growth vectors between end points
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if(icurrent!=ilast)
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averageGrowthVectors(icurrent, ilast);
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icurrent = ilast;
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}
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}
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//////////////////////////////////////////////////////////////////////
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// reduce growthvectors where necessary to avoid overlaps/slim regions
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const auto getSegmentBox = [&] (SegmentIndex segi)
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{
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PointIndex pi0=mesh[segi][0], pi1=mesh[segi][1];
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Box<3> box( mesh[pi0], mesh[pi1] );
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box.Add( mesh[pi0]+growthvectors[pi0] );
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box.Add( mesh[pi1]+growthvectors[pi1] );
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return box;
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};
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Array<double, PointIndex> growth(np);
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growth = 1.0;
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const auto Dot = [](auto a, auto b)
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{ return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]; };
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const auto restrictGrowthVectors = [&] (SegmentIndex segi0, SegmentIndex segi1)
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{
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if(!active_segments.Test(segi0))
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return;
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const auto & seg0 = mesh[segi0];
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const auto & seg1 = mesh[segi1];
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if( (seg0.domin != domain && seg0.domout != domain) ||
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(seg1.domin != domain && seg1.domout != domain) )
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return;
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if(segi0 == segi1)
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return;
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if(seg0[0]==seg1[0] || seg0[0]==seg1[1] || seg0[1]==seg1[0] || seg0[1] == seg1[1])
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return;
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auto n = mesh[seg0[0]] - mesh[seg0[1]];
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n = {-n[1], n[0], 0};
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n.Normalize();
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if(Dot(n, growthvectors[seg0[0]])<0) n = -n;
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if(Dot(n, growthvectors[seg0[1]])<0) n = -n;
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auto n1 = mesh[seg1[0]] - mesh[seg1[1]];
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n1 = {-n1[1], n1[0], 0};
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n1.Normalize();
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if(Dot(n1, growthvectors[seg1[0]])<0) n1 = -n;
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if(Dot(n1, growthvectors[seg1[1]])<0) n1 = -n;
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auto p10 = mesh[seg1[0]];
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auto p11 = mesh[seg1[1]];
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for ( auto pi : {seg0[0], seg0[1]} )
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{
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if(growthvectors[pi].Length2() == 0.0)
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continue;
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PointIndex pi1 = seg0[0] + seg0[1] - pi;
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auto p1 = mesh[pi1];
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auto p = mesh[pi];
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Point<3> points[] = { p10, p11, p10+total_thickness*growthvectors[seg1[0]], p11+total_thickness*growthvectors[seg1[1]], p1+total_thickness*growthvectors[pi1] };
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Vec<3> gn{ growthvectors[pi][1], -growthvectors[pi][0], 0.0 };
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if(Dot(gn, p1-p) < 0)
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gn = -gn;
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double d0 = Dot(gn, p);
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double d1 = Dot(gn, p1);
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if(d0>d1)
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Swap(d0,d1);
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bool all_left=true, all_right=true;
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for (auto i: Range(4))
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{
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auto p_other = points[i];
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auto dot = Dot(gn,p_other);
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if(dot>d0) all_left = false;
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if(dot<d1) all_right = false;
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}
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if(all_left || all_right)
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return;
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//for ( auto pi : {seg0[0], seg0[1]} )
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{
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double safety = 1.3;
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|
double t = safety*total_thickness;
|
|
if(growthvectors[pi].Length2() == 0.0)
|
|
continue;
|
|
|
|
Point<3> points[] = { p10, p10+t*growthvectors[seg1[0]], p11, p11+t*growthvectors[seg1[1]] };
|
|
auto p0 = mesh[pi];
|
|
auto p1 = p0 + t*growthvectors[pi];
|
|
auto P2 = [](Point<3> p) { return Point<2>{p[0], p[1]}; };
|
|
ArrayMem<pair<double, double>, 4> intersections;
|
|
|
|
double alpha, beta;
|
|
|
|
auto checkIntersection = [] (Point<2> p0, Point<2> p1, Point<2> q0, Point<2> q1, double & alpha, double & beta) {
|
|
auto intersection_type = intersect( p0, p1, q0, q1, alpha, beta );
|
|
return intersection_type == X_INTERSECTION || intersection_type == T_INTERSECTION_P || intersection_type == T_INTERSECTION_Q;
|
|
};
|
|
|
|
if(checkIntersection( P2(p0), P2(p1), P2(points[0]), P2(points[2]), alpha, beta ))
|
|
intersections.Append({alpha, 0.0});
|
|
|
|
if(checkIntersection( P2(p0), P2(p1), P2(points[1]), P2(points[3]), alpha, beta ))
|
|
intersections.Append({alpha, 1.0});
|
|
|
|
if(checkIntersection( P2(p0), P2(p1), P2(points[0]), P2(points[1]), alpha, beta ))
|
|
intersections.Append({alpha, beta});
|
|
|
|
if(checkIntersection( P2(p0), P2(p1), P2(points[2]), P2(points[3]), alpha, beta ))
|
|
intersections.Append({alpha, beta});
|
|
|
|
QuickSort(intersections);
|
|
for(auto [alpha,beta] : intersections)
|
|
{
|
|
if(!active_segments.Test(segi1))
|
|
growth[pi] = min(growth[pi], alpha);
|
|
else
|
|
{
|
|
double mean = 0.5*(alpha+beta);
|
|
growth[pi] = min(growth[pi], mean);
|
|
growth[seg1[0]] = min(growth[seg1[0]], mean);
|
|
growth[seg1[1]] = min(growth[seg1[1]], mean);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
};
|
|
|
|
Box<3> box(Box<3>::EMPTY_BOX);
|
|
for (auto segi : Range(mesh.LineSegments()))
|
|
{
|
|
auto segbox = getSegmentBox( segi );
|
|
box.Add(segbox.PMin());
|
|
box.Add(segbox.PMax());
|
|
}
|
|
BoxTree<3> segtree(box);
|
|
|
|
for (auto segi : Range(mesh.LineSegments()))
|
|
{
|
|
auto p2 = [](Point<3> p) { return Point<2>{p[0], p[1]}; };
|
|
|
|
auto seg = line_segments[segi];
|
|
double alpha,beta;
|
|
intersect( p2(mesh[seg[0]]), p2(mesh[seg[0]]+total_thickness*growthvectors[seg[0]]), p2(mesh[seg[1]]), p2(mesh[seg[1]]+total_thickness*growthvectors[seg[1]]), alpha, beta );
|
|
|
|
if(beta>0 && alpha>0 && alpha<1.1)
|
|
growth[seg[0]] = min(growth[seg[0]], 0.8*alpha);
|
|
if(alpha>0 && beta>0 && beta<1.1)
|
|
growth[seg[1]] = min(growth[seg[1]], 0.8*beta);
|
|
|
|
for (auto segj : Range(mesh.LineSegments()))
|
|
if(segi!=segj)
|
|
restrictGrowthVectors(segi, segj);
|
|
}
|
|
|
|
for( auto pi : Range(growthvectors))
|
|
growthvectors[pi] *= growth[pi];
|
|
|
|
|
|
// insert new points
|
|
for(PointIndex pi : Range(mesh.Points()))
|
|
if(growthvectors[pi].Length2()!=0)
|
|
{
|
|
|
|
auto & pnew = mapto[pi];
|
|
auto dist = 0.0;
|
|
for(auto t : thicknesses)
|
|
{
|
|
dist+=t;
|
|
pnew.Append( mesh.AddPoint( mesh[pi] + dist*growthvectors[pi] ) );
|
|
mesh[pnew.Last()].SetType(FIXEDPOINT);
|
|
}
|
|
}
|
|
|
|
map<pair<PointIndex, PointIndex>, int> seg2edge;
|
|
|
|
// insert new elements ( and move old ones )
|
|
for(auto si : moved_segs)
|
|
{
|
|
auto seg = line_segments[si];
|
|
|
|
bool swap = false;
|
|
auto & pm0 = mapto[seg[0]];
|
|
auto & pm1 = mapto[seg[1]];
|
|
|
|
// auto newindex = si_map[domain];
|
|
|
|
Segment s = seg;
|
|
s.geominfo[0] = {};
|
|
s.geominfo[1] = {};
|
|
s[0] = pm0.Last();
|
|
s[1] = pm1.Last();
|
|
s[2] = PointIndex::INVALID;
|
|
auto pair = s[0] < s[1] ? make_pair(s[0], s[1]) : make_pair(s[1], s[0]);
|
|
if(seg2edge.find(pair) == seg2edge.end())
|
|
seg2edge[pair] = ++max_edge_nr;
|
|
s.edgenr = seg2edge[pair];
|
|
s.si = seg.si;
|
|
mesh.AddSegment(s);
|
|
|
|
for ( auto i : Range(thicknesses))
|
|
{
|
|
PointIndex pi0, pi1, pi2, pi3;
|
|
|
|
if(i==0)
|
|
{
|
|
pi0 = seg[0];
|
|
pi1 = seg[1];
|
|
}
|
|
else
|
|
{
|
|
pi0 = pm0[i-1];
|
|
pi1 = pm1[i-1];
|
|
}
|
|
|
|
pi2 = pm1[i];
|
|
pi3 = pm0[i];
|
|
|
|
if(i==0)
|
|
{
|
|
auto p0 = mesh[pi0];
|
|
auto p1 = mesh[pi1];
|
|
auto q0 = mesh[pi2];
|
|
// auto q1 = mesh[pi3];
|
|
|
|
Vec<2> n = {-p1[1]+p0[1], p1[0]-p0[0]};
|
|
Vec<2> v = { q0[0]-p0[0], q0[1]-p0[1]};
|
|
if(n[0]*v[0]+n[1]*v[1]<0)
|
|
swap = true;
|
|
}
|
|
|
|
Element2d newel;
|
|
newel.SetType(QUAD);
|
|
newel[0] = pi0;
|
|
newel[1] = pi1;
|
|
newel[2] = pi2;
|
|
newel[3] = pi3;
|
|
newel.SetIndex(new_domain);
|
|
newel.GeomInfo() = PointGeomInfo{};
|
|
|
|
if(swap)
|
|
{
|
|
Swap(newel[0], newel[1]);
|
|
Swap(newel[2], newel[3]);
|
|
}
|
|
|
|
for(auto i : Range(4))
|
|
{
|
|
newel.GeomInfo()[i].u = 0.0;
|
|
newel.GeomInfo()[i].v = 0.0;
|
|
}
|
|
mesh.AddSurfaceElement(newel);
|
|
|
|
}
|
|
// segment now adjacent to new 2d-domain!
|
|
if(line_segments[si].domin == domain)
|
|
line_segments[si].domin = new_domain;
|
|
if(line_segments[si].domout == domain)
|
|
line_segments[si].domout = new_domain;
|
|
}
|
|
|
|
for(auto pi : Range(mapto))
|
|
{
|
|
if(mapto[pi].Size() == 0)
|
|
continue;
|
|
auto pnew = mapto[pi].Last();
|
|
for(auto old_sei : meshtopo.GetVertexSurfaceElements( pi ))
|
|
{
|
|
if(mesh[old_sei].GetIndex() == domain)
|
|
{
|
|
auto & old_el = mesh[old_sei];
|
|
for(auto i : IntRange(old_el.GetNP()))
|
|
if(old_el[i]==pi)
|
|
old_el[i] = pnew;
|
|
}
|
|
}
|
|
}
|
|
|
|
for(auto & sel : mesh.SurfaceElements())
|
|
if(sel.GetIndex() == domain)
|
|
sel.Delete();
|
|
|
|
mesh.Compress();
|
|
mesh.CalcSurfacesOfNode();
|
|
|
|
Generate2dMesh(mesh, domain);
|
|
|
|
// even without new domain, we need temporarily a new domain to mesh the remaining area, without confusing the meshes with quads -> add segments temporarily and reset domain number and segments afterwards
|
|
if(!should_make_new_domain)
|
|
{
|
|
// map new domain back to old one
|
|
for(auto & sel : mesh.SurfaceElements())
|
|
if(sel.GetIndex()==new_domain)
|
|
sel.SetIndex(domain);
|
|
|
|
// remove (temporary) inner segments
|
|
for(auto segi : Range(first_new_seg, mesh.LineSegments().Range().Next()))
|
|
{
|
|
mesh[segi][0].Invalidate();
|
|
mesh[segi][1].Invalidate();
|
|
}
|
|
|
|
for(auto segi : moved_segs)
|
|
{
|
|
if(mesh[segi].domin == new_domain)
|
|
mesh[segi].domin = domain;
|
|
if(mesh[segi].domout == new_domain)
|
|
mesh[segi].domout = domain;
|
|
}
|
|
|
|
mesh.Compress();
|
|
mesh.CalcSurfacesOfNode();
|
|
}
|
|
|
|
return new_domain;
|
|
}
|
|
|
|
} // namespace netgen
|