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https://github.com/NGSolve/netgen.git
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2d boundary layers
This commit is contained in:
Matthias Hochsteger
parent
c77da32463
commit
98770dbf94
@ -1,5 +1,8 @@
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#include <mystdlib.h>
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#include "meshing.hpp"
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#include "meshing2.hpp"
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#include "global.hpp"
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#include "../geom2d/csg2d.hpp"
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namespace netgen
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{
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@ -625,4 +628,586 @@ namespace netgen
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mesh.GetFaceDescriptor(i).SetDomainIn(new_mat_nr);
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}
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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.si == 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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for(const auto & seg : mesh.LineSegments())
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if (seg.si == 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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PointGeomInfo gi;
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gi.trignum = domain;
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for(const auto & seg : mesh.LineSegments())
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if (seg.si == domain)
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meshing.AddBoundaryElement (compress[seg[0]], compress[seg[1]], gi, gi);
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auto oldnf = mesh.GetNSE();
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auto res = 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.OrderElements();
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mesh.SetNextMajorTimeStamp();
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}
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void GenerateBoundaryLayer2 (Mesh & mesh, int domain, const Array<int> & boundaries, const Array<double> & thicknesses)
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{
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int np = mesh.GetNP();
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int nseg = mesh.GetNSeg();
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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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// map for all segments with same points
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// points to pair of SegmentIndex, int
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// int is type of other segment, either:
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// TODO: recognize "end points" of boundary layer and implement closure properly
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Array<Array<pair<SegmentIndex, int>>, SegmentIndex> segmap(mesh.GetNSeg());
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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<SurfaceElementIndex, SegmentIndex> seg2surfel(mesh.GetNSeg());
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seg2surfel = -1;
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NgArray<SurfaceElementIndex> temp_els;
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for(auto si : Range(mesh.LineSegments()))
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{
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meshtopo.GetSegmentSurfaceElements ( si+1, temp_els );
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// NgArray<int> surfeledges;
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// meshtopo.GetSurfaceElementEdges(si+1, surfeledges);
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for(auto seli : temp_els)
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if(mesh[seli].GetIndex() == mesh[si].si)
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seg2surfel[si] = seli;
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}
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Array<SegmentIndex> segments;
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// surface index map
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Array<int> si_map(mesh.GetNFD()+1);
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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 : mesh.LineSegments())
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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.si > max_domain)
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max_domain = seg.si;
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}
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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(mesh.LineSegments()))
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{
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const auto seg = mesh[segi];
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if(active_boundaries.Test(seg.epgeominfo[0].edgenr) && seg.si==domain)
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active_segments.SetBit(segi);
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}
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for(auto segi : Range(mesh.LineSegments()))
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{
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const auto& seg = mesh[segi];
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auto si = seg.si;
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if(si_map[si]!=-1)
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continue;
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if(!active_segments.Test(segi))
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continue;
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int new_si = mesh.GetNFD()+1;
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FaceDescriptor new_fd(-1, 0, 0, -1);
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new_fd.SetBCProperty(new_si);
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mesh.AddFaceDescriptor(new_fd);
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si_map[si] = new_si;
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mesh.SetBCName(new_si-1, "mapped_" + mesh.GetBCName(si-1));
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}
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for(auto si : Range(mesh.LineSegments()))
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{
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if(segs_done[si]) continue;
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segs_done.SetBit(si);
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const auto& segi = mesh[si];
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if(si_map[segi.si] == -1) continue;
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if(!active_boundaries.Test(segi.epgeominfo[0].edgenr))
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continue;
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segmap[si].Append(make_pair(si, 0));
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moved_segs.Append(si);
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for(auto sj : Range(mesh.LineSegments()))
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{
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if(segs_done.Test(sj)) continue;
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const auto& segj = mesh[sj];
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if((segi[0] == segj[0] && segi[1] == segj[1]) ||
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(segi[0] == segj[1] && segi[1] == segj[0]))
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{
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segs_done.SetBit(sj);
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int type = 0;
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segmap[si].Append(make_pair(sj, type));
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}
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}
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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 = mesh[si];
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meshtopo.GetSegmentSurfaceElements ( si+1, temp_els );
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ArrayMem<int, 10> seg_domains;
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temp_els.SetSize(0);
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if(seg2surfel[si]!=-1)
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temp_els.Append(seg2surfel[si]);
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int n_temp_els = temp_els.Size();
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if(n_temp_els==0)
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continue;
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int dom0 = mesh[temp_els[0]].GetIndex();
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int dom1 = n_temp_els==2 ? mesh[temp_els[1]].GetIndex() : 0;
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bool in_dom0 = dom0 == domain;
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bool in_dom1 = dom1 == domain;
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if(!in_dom0 && !in_dom1)
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continue;
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int side = in_dom0 ? 0 : 1;
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auto & sel = mesh[ temp_els[side] ];
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int domain = sel.GetIndex();
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Vec<3> pcenter = 0.0;
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for(auto i : IntRange(sel.GetNP()))
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{
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for(auto d : IntRange(3))
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pcenter[d] += mesh[sel[i]][d];
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}
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pcenter = 1.0/sel.GetNP() * pcenter;
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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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Vec<3> p0{mesh[seg[0]]};
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Vec<3> p1{mesh[seg[0]]};
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auto v = pcenter -0.5*(p0+p1);
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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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if(Dot(n, v)<0)
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n = -1*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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// 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.si != seg1.si)
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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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// check if angle between normal vectors is less than 180 degrees (cant overlap for opposing directions)
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// if(n[0]*n1[1]-n[1]*n1[0]<0.0)
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// return;
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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] == 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;
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if(growthvectors[pi] == 0.0)
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continue;
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Point<3> points[] = { p10, p10+t*growthvectors[seg1[0]], p11, p11+t*growthvectors[seg1[1]] };
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auto p0 = mesh[pi];
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auto p1 = p0 + t*growthvectors[pi];
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auto P2 = [](Point<3> p) { return Point<2>{p[0], p[1]}; };
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ArrayMem<pair<double, double>, 4> intersections;
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double alpha, beta;
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if(X_INTERSECTION == intersect( P2(p0), P2(p1), P2(points[0]), P2(points[2]), alpha, beta ))
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intersections.Append({alpha, 0.0});
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if(X_INTERSECTION == intersect( P2(p0), P2(p1), P2(points[1]), P2(points[3]), alpha, beta ))
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intersections.Append({alpha, 1.0});
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if(X_INTERSECTION == intersect( P2(p0), P2(p1), P2(points[0]), P2(points[1]), alpha, beta ))
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intersections.Append({alpha, beta});
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if(X_INTERSECTION == intersect( P2(p0), P2(p1), P2(points[2]), P2(points[3]), alpha, beta ))
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intersections.Append({alpha, beta});
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QuickSort(intersections);
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for(auto [alpha,beta] : intersections)
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{
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if(!active_segments.Test(segi1))
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growth[pi] = min(growth[pi], alpha);
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else
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{
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double mean = 0.5*(alpha+beta);
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growth[pi] = min(growth[pi], mean);
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growth[seg1[0]] = min(growth[seg1[0]], mean);
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growth[seg1[1]] = min(growth[seg1[1]], mean);
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}
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}
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}
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}
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};
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Box<3> box(Box<3>::EMPTY_BOX);
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for (auto segi : Range(mesh.LineSegments()))
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{
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auto segbox = getSegmentBox( segi );
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box.Add(segbox.PMin());
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box.Add(segbox.PMax());
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}
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BoxTree<3> segtree(box);
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for (auto segi : Range(mesh.LineSegments()))
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{
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auto p2 = [](Point<3> p) { return Point<2>{p[0], p[1]}; };
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auto seg = mesh[segi];
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double alpha,beta;
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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 );
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if(beta>0 && alpha>0 && alpha<1.1)
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growth[seg[0]] = min(growth[seg[0]], 0.8*alpha);
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if(alpha>0 && beta>0 && beta<1.1)
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growth[seg[1]] = min(growth[seg[1]], 0.8*beta);
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for (auto segj : Range(mesh.LineSegments()))
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if(segi!=segj)
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restrictGrowthVectors(segi, segj);
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}
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for( auto pi : Range(growthvectors))
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growthvectors[pi] *= growth[pi];
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// 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 = mesh[si];
|
||||
|
||||
bool swap = false;
|
||||
auto & pm0 = mapto[seg[0]];
|
||||
auto & pm1 = mapto[seg[1]];
|
||||
|
||||
auto newindex = si_map[seg.si];
|
||||
|
||||
{
|
||||
Segment s = seg;
|
||||
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);
|
||||
|
||||
Swap(s[0], s[1]);
|
||||
s.si = newindex;
|
||||
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(si_map[seg.si]);
|
||||
|
||||
// if(swap)
|
||||
// {
|
||||
// Swap(newel[0], newel[1]);
|
||||
// Swap(newel[2], newel[3]);
|
||||
// }
|
||||
|
||||
mesh.AddSurfaceElement(newel);
|
||||
|
||||
}
|
||||
// segment now adjacent to new 2d-domain!
|
||||
mesh[si].si = si_map[seg.si];
|
||||
}
|
||||
|
||||
for(auto pi : Range(mapto))
|
||||
{
|
||||
if(mapto[pi].Size() == 0)
|
||||
continue;
|
||||
auto pnew = mapto[pi].Last();
|
||||
NgArray<SurfaceElementIndex> old_els;
|
||||
meshtopo.GetVertexSurfaceElements( pi, old_els);
|
||||
for(auto old_sei : old_els)
|
||||
{
|
||||
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);
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
@ -24,5 +24,6 @@ public:
|
||||
DLL_HEADER void GenerateBoundaryLayer (Mesh & mesh,
|
||||
const BoundaryLayerParameters & blp);
|
||||
|
||||
DLL_HEADER void GenerateBoundaryLayer2 (Mesh & mesh, int domain, const Array<int> & boundaries, const Array<double> & thicknesses);
|
||||
|
||||
#endif
|
||||
|
||||
Loading…
Reference in New Issue
Block a user