#include #include "meshing.hpp" #include namespace netgen { // find singular edges void SelectSingularEdges (const Mesh & mesh, const CSGeometry & geom, INDEX_2_HASHTABLE & singedges, ZRefinementOptions & opt) { // edges selected in csg input file for (int i = 1; i <= geom.singedges.Size(); i++) { //if(geom.singedges.Get(i)->maxhinit > 0) // continue; //!!!! const SingularEdge & se = *geom.singedges.Get(i); for (int j = 1; j <= se.segms.Size(); j++) { INDEX_2 i2 = se.segms.Get(j); singedges.Set (i2, 1); } } // edges interactively selected for (int i = 1; i <= mesh.GetNSeg(); i++) { const Segment & seg = mesh.LineSegment(i); if (seg.singedge_left || seg.singedge_right) { INDEX_2 i2(seg[0], seg[1]); i2.Sort(); singedges.Set (i2, 1); } } } /** Convert elements (vol-tets, surf-trigs) into prisms/quads */ void MakePrismsSingEdge (Mesh & mesh, INDEX_2_HASHTABLE & singedges) { // volume elements for (int i = 1; i <= mesh.GetNE(); i++) { Element & el = mesh.VolumeElement(i); if (el.GetType() != TET) continue; for (int j = 1; j <= 3; j++) for (int k = j+1; k <= 4; k++) { INDEX_2 edge(el.PNum(j), el.PNum(k)); edge.Sort(); if (singedges.Used (edge)) { int pi3 = 1, pi4 = 1; while (pi3 == j || pi3 == k) pi3++; pi4 = 10 - j - k - pi3; int p3 = el.PNum(pi3); int p4 = el.PNum(pi4); el.SetType(PRISM); el.PNum(1) = edge.I1(); el.PNum(2) = p3; el.PNum(3) = p4; el.PNum(4) = edge.I2(); el.PNum(5) = p3; el.PNum(6) = p4; } } } // surface elements for (int i = 1; i <= mesh.GetNSE(); i++) { Element2d & el = mesh.SurfaceElement(i); if (el.GetType() != TRIG) continue; for (int j = 1; j <= 3; j++) { int k = (j % 3) + 1; INDEX_2 edge(el.PNum(j), el.PNum(k)); edge.Sort(); if (singedges.Used (edge)) { int pi3 = 6-j-k; int p3 = el.PNum(pi3); int p1 = el.PNum(j); int p2 = el.PNum(k); el.SetType(QUAD); el.PNum(1) = p2; el.PNum(2) = p3; el.PNum(3) = p3; el.PNum(4) = p1; } } } } /* Convert tets and pyramids next to close (identified) points into prisms */ void MakePrismsClosePoints (Mesh & mesh) { int i, j, k; for (i = 1; i <= mesh.GetNE(); i++) { Element & el = mesh.VolumeElement(i); if (el.GetType() == TET) { for (j = 1; j <= 3; j++) for (k = j+1; k <= 4; k++) { INDEX_2 edge(el.PNum(j), el.PNum(k)); edge.Sort(); if (mesh.GetIdentifications().GetSymmetric (el.PNum(j), el.PNum(k))) { int pi3 = 1, pi4 = 1; while (pi3 == j || pi3 == k) pi3++; pi4 = 10 - j - k - pi3; int p3 = el.PNum(pi3); int p4 = el.PNum(pi4); el.SetType(PRISM); el.PNum(1) = edge.I1(); el.PNum(2) = p3; el.PNum(3) = p4; el.PNum(4) = edge.I2(); el.PNum(5) = p3; el.PNum(6) = p4; } } } if (el.GetType() == PYRAMID) { // pyramid, base face = 1,2,3,4 for (j = 0; j <= 1; j++) { PointIndex pi1 = el.PNum( (j+0) % 4 + 1); PointIndex pi2 = el.PNum( (j+1) % 4 + 1); PointIndex pi3 = el.PNum( (j+2) % 4 + 1); PointIndex pi4 = el.PNum( (j+3) % 4 + 1); PointIndex pi5 = el.PNum(5); INDEX_2 edge1(pi1, pi4); INDEX_2 edge2(pi2, pi3); edge1.Sort(); edge2.Sort(); if (mesh.GetIdentifications().GetSymmetric (pi1, pi4) && mesh.GetIdentifications().GetSymmetric (pi2, pi3)) { //int p3 = el.PNum(pi3); //int p4 = el.PNum(pi4); el.SetType(PRISM); el.PNum(1) = pi1; el.PNum(2) = pi2; el.PNum(3) = pi5; el.PNum(4) = pi4; el.PNum(5) = pi3; el.PNum(6) = pi5; } } } } for (i = 1; i <= mesh.GetNSE(); i++) { Element2d & el = mesh.SurfaceElement(i); if (el.GetType() != TRIG) continue; for (j = 1; j <= 3; j++) { k = (j % 3) + 1; INDEX_2 edge(el.PNum(j), el.PNum(k)); edge.Sort(); if (mesh.GetIdentifications().GetSymmetric (el.PNum(j), el.PNum(k))) { int pi3 = 6-j-k; int p3 = el.PNum(pi3); int p1 = el.PNum(j); int p2 = el.PNum(k); el.SetType(QUAD); el.PNum(1) = p2; el.PNum(2) = p3; el.PNum(3) = p3; el.PNum(4) = p1; } } } } #ifdef OLD void MakeCornerNodes (Mesh & mesh, INDEX_HASHTABLE & cornernodes) { int i, j; int nseg = mesh.GetNSeg(); NgArray edgesonpoint(mesh.GetNP()); for (i = 1; i <= mesh.GetNP(); i++) edgesonpoint.Elem(i) = 0; for (i = 1; i <= nseg; i++) { for (j = 1; j <= 2; j++) { int pi = (j == 1) ? mesh.LineSegment(i)[0] : mesh.LineSegment(i)[1]; edgesonpoint.Elem(pi)++; } } /* cout << "cornernodes: "; for (i = 1; i <= edgesonpoint.Size(); i++) if (edgesonpoint.Get(i) >= 6) { cornernodes.Set (i, 1); cout << i << " "; } cout << endl; */ // cornernodes.Set (5, 1); } #endif void RefinePrisms (Mesh & mesh, const CSGeometry * geom, ZRefinementOptions & opt) { int i, j; bool found, change; int cnt = 0; // markers for z-refinement: p1, p2, levels // p1-p2 is an edge to be refined NgArray ref_uniform; NgArray ref_singular; NgArray ref_slices; BitArray first_id(geom->identifications.Size()); first_id.Set(); // if (mesh.GetIdentifications().HasIdentifiedPoints()) { INDEX_2_HASHTABLE & identpts = mesh.GetIdentifications().GetIdentifiedPoints (); for (i = 1; i <= identpts.GetNBags(); i++) for (j = 1; j <= identpts.GetBagSize(i); j++) { INDEX_2 pair; int idnr; identpts.GetData(i, j, pair, idnr); const CloseSurfaceIdentification * csid = dynamic_cast (geom->identifications.Get(idnr)); if (csid) { if (!csid->GetSlices().Size()) { if (first_id.Test (idnr)) { first_id.Clear(idnr); ref_uniform.Append (INDEX_3 (pair.I1(), pair.I2(), csid->RefLevels())); ref_singular.Append (INDEX_3 (pair.I1(), pair.I2(), csid->RefLevels1())); ref_singular.Append (INDEX_3 (pair.I2(), pair.I1(), csid->RefLevels2())); } } else { //const NgArray & slices = csid->GetSlices(); INDEX_4 i4; i4[0] = pair.I1(); i4[1] = pair.I2(); i4[2] = idnr; i4[3] = csid->GetSlices().Size(); ref_slices.Append (i4); } } } } NgArray epgi; while (1) { cnt++; PrintMessage (3, "Z-Refinement, level = ", cnt); INDEX_2_HASHTABLE refedges(mesh.GetNSE()+1); found = 0; // mark prisms due to close surface flags: int oldsize = ref_uniform.Size(); for (i = 1; i <= oldsize; i++) { int pi1 = ref_uniform.Get(i).I1(); int pi2 = ref_uniform.Get(i).I2(); int levels = ref_uniform.Get(i).I3(); if (levels > 0) { const Point3d & p1 = mesh.Point(pi1); const Point3d & p2 = mesh.Point(pi2); int npi(0); INDEX_2 edge(pi1, pi2); edge.Sort(); if (!refedges.Used(edge)) { Point3d np = Center (p1, p2); npi = mesh.AddPoint (np); refedges.Set (edge, npi); found = 1; } ref_uniform.Elem(i) = INDEX_3(pi1, npi, levels-1); ref_uniform.Append (INDEX_3(pi2, npi, levels-1)); } } for (i = 1; i <= ref_singular.Size(); i++) { int pi1 = ref_singular.Get(i).I1(); int pi2 = ref_singular.Get(i).I2(); int levels = ref_singular.Get(i).I3(); if (levels > 0) { const Point3d & p1 = mesh.Point(pi1); const Point3d & p2 = mesh.Point(pi2); int npi; INDEX_2 edge(pi1, pi2); edge.Sort(); if (!refedges.Used(edge)) { Point3d np = Center (p1, p2); npi = mesh.AddPoint (np); refedges.Set (edge, npi); found = 1; } else npi = refedges.Get (edge); ref_singular.Elem(i) = INDEX_3(pi1, npi, levels-1); } } for (i = 1; i <= ref_slices.Size(); i++) { int pi1 = ref_slices.Get(i)[0]; int pi2 = ref_slices.Get(i)[1]; int idnr = ref_slices.Get(i)[2]; int slicenr = ref_slices.Get(i)[3]; if (slicenr > 0) { const Point3d & p1 = mesh.Point(pi1); const Point3d & p2 = mesh.Point(pi2); int npi; const CloseSurfaceIdentification * csid = dynamic_cast (geom->identifications.Get(idnr)); INDEX_2 edge(pi1, pi2); edge.Sort(); if (!refedges.Used(edge)) { const NgArray & slices = csid->GetSlices(); //(*testout) << "idnr " << idnr << " i " << i << endl; //(*testout) << "slices " << slices << endl; double slicefac = slices.Get(slicenr); double slicefaclast = (slicenr == slices.Size()) ? 1 : slices.Get(slicenr+1); Point3d np = p1 + (slicefac / slicefaclast) * (p2-p1); //(*testout) << "slicenr " << slicenr << " slicefac " << slicefac << " quot " << (slicefac / slicefaclast) << " np " << np << endl; npi = mesh.AddPoint (np); refedges.Set (edge, npi); found = 1; } else npi = refedges.Get (edge); ref_slices.Elem(i)[1] = npi; ref_slices.Elem(i)[3] --; } } for (i = 1; i <= mesh.GetNE(); i++) { Element & el = mesh.VolumeElement (i); if (el.GetType() != PRISM) continue; for (j = 1; j <= 3; j++) { int pi1 = el.PNum(j); int pi2 = el.PNum(j+3); const Point3d & p1 = mesh.Point(pi1); const Point3d & p2 = mesh.Point(pi2); bool ref = 0; /* if (Dist (p1, p2) > mesh.GetH (Center (p1, p2))) ref = 1; */ /* if (cnt <= opt.minref) ref = 1; */ /* if ((pi1 == 460 || pi2 == 460 || pi1 == 461 || pi2 == 461) && cnt <= 8) ref = 1; */ if (ref == 1) { INDEX_2 edge(pi1, pi2); edge.Sort(); if (!refedges.Used(edge)) { Point3d np = Center (p1, p2); int npi = mesh.AddPoint (np); refedges.Set (edge, npi); found = 1; } } } } if (!found) break; // build closure: PrintMessage (5, "start closure"); do { PrintMessage (5, "start loop"); change = 0; for (i = 1; i <= mesh.GetNE(); i++) { Element & el = mesh.VolumeElement (i); if (el.GetType() != PRISM) continue; bool hasref = 0, hasnonref = 0; for (j = 1; j <= 3; j++) { int pi1 = el.PNum(j); int pi2 = el.PNum(j+3); if (pi1 != pi2) { INDEX_2 edge(pi1, pi2); edge.Sort(); if (refedges.Used(edge)) hasref = 1; else hasnonref = 1; } } if (hasref && hasnonref) { // cout << "el " << i << " in closure" << endl; change = 1; for (j = 1; j <= 3; j++) { int pi1 = el.PNum(j); int pi2 = el.PNum(j+3); const Point3d & p1 = mesh.Point(pi1); const Point3d & p2 = mesh.Point(pi2); INDEX_2 edge(pi1, pi2); edge.Sort(); if (!refedges.Used(edge)) { Point3d np = Center (p1, p2); int npi = mesh.AddPoint (np); refedges.Set (edge, npi); } } } } } while (change); PrintMessage (5, "Do segments"); // (*testout) << "closure formed, np = " << mesh.GetNP() << endl; int oldns = mesh.GetNSeg(); for (i = 1; i <= oldns; i++) { const Segment & el = mesh.LineSegment(i); INDEX_2 i2(el[0], el[1]); i2.Sort(); int pnew; EdgePointGeomInfo ngi; if (refedges.Used(i2)) { pnew = refedges.Get(i2); // ngi = epgi.Get(pnew); } else { continue; // Point3d pb; // /* // geom->PointBetween (mesh.Point (el[0]), // mesh.Point (el[1]), // el.surfnr1, el.surfnr2, // el.epgeominfo[0], el.epgeominfo[1], // pb, ngi); // */ // pb = Center (mesh.Point (el[0]), mesh.Point (el[1])); // pnew = mesh.AddPoint (pb); // refedges.Set (i2, pnew); // if (pnew > epgi.Size()) // epgi.SetSize (pnew); // epgi.Elem(pnew) = ngi; } Segment ns1 = el; Segment ns2 = el; ns1[1] = pnew; ns1.epgeominfo[1] = ngi; ns2[0] = pnew; ns2.epgeominfo[0] = ngi; mesh.LineSegment(i) = ns1; mesh.AddSegment (ns2); } PrintMessage (5, "Segments done, NSeg = ", mesh.GetNSeg()); // do refinement int oldne = mesh.GetNE(); for (i = 1; i <= oldne; i++) { Element & el = mesh.VolumeElement (i); if (el.GetNP() != 6) continue; int npi[3]; for (j = 1; j <= 3; j++) { int pi1 = el.PNum(j); int pi2 = el.PNum(j+3); if (pi1 == pi2) npi[j-1] = pi1; else { INDEX_2 edge(pi1, pi2); edge.Sort(); if (refedges.Used (edge)) npi[j-1] = refedges.Get(edge); else { /* (*testout) << "ERROR: prism " << i << " has hanging node !!" << ", edge = " << edge << endl; cerr << "ERROR: prism " << i << " has hanging node !!" << endl; */ npi[j-1] = 0; } } } if (npi[0]) { Element nel1(6), nel2(6); for (j = 1; j <= 3; j++) { nel1.PNum(j) = el.PNum(j); nel1.PNum(j+3) = npi[j-1]; nel2.PNum(j) = npi[j-1]; nel2.PNum(j+3) = el.PNum(j+3); } nel1.SetIndex (el.GetIndex()); nel2.SetIndex (el.GetIndex()); mesh.VolumeElement (i) = nel1; mesh.AddVolumeElement (nel2); } } PrintMessage (5, "Elements done, NE = ", mesh.GetNE()); // do surface elements int oldnse = mesh.GetNSE(); // cout << "oldnse = " << oldnse << endl; for (i = 1; i <= oldnse; i++) { Element2d & el = mesh.SurfaceElement (i); if (el.GetType() != QUAD) continue; int index = el.GetIndex(); int npi[2]; for (j = 1; j <= 2; j++) { int pi1, pi2; if (j == 1) { pi1 = el.PNum(1); pi2 = el.PNum(4); } else { pi1 = el.PNum(2); pi2 = el.PNum(3); } if (pi1 == pi2) npi[j-1] = pi1; else { INDEX_2 edge(pi1, pi2); edge.Sort(); if (refedges.Used (edge)) npi[j-1] = refedges.Get(edge); else { npi[j-1] = 0; } } } if (npi[0]) { Element2d nel1(QUAD), nel2(QUAD); for (j = 1; j <= 4; j++) { nel1.PNum(j) = el.PNum(j); nel2.PNum(j) = el.PNum(j); } nel1.PNum(3) = npi[1]; nel1.PNum(4) = npi[0]; nel2.PNum(1) = npi[0]; nel2.PNum(2) = npi[1]; /* for (j = 1; j <= 2; j++) { nel1.PNum(j) = el.PNum(j); nel1.PNum(j+2) = npi[j-1]; nel2.PNum(j) = npi[j-1]; nel2.PNum(j+2) = el.PNum(j+2); } */ nel1.SetIndex (el.GetIndex()); nel2.SetIndex (el.GetIndex()); mesh.SurfaceElement (i) = nel1; mesh.AddSurfaceElement (nel2); int si = mesh.GetFaceDescriptor (index).SurfNr(); Point<3> hp = mesh.Point(npi[0]); geom->GetSurface(si)->Project (hp); mesh.Point (npi[0]).SetPoint (hp); hp = mesh.Point(npi[1]); geom->GetSurface(si)->Project (hp); mesh.Point (npi[1]).SetPoint (hp); // geom->GetSurface(si)->Project (mesh.Point(npi[0])); // geom->GetSurface(si)->Project (mesh.Point(npi[1])); } } mesh.RebuildSurfaceElementLists(); PrintMessage (5, "Surface elements done, NSE = ", mesh.GetNSE()); } } void CombineSingularPrisms(Mesh& mesh) { for(int i = 1; i<=mesh.GetNE(); i++) { Element& el = mesh.VolumeElement(i); if(el.GetType() != PRISM) continue; if(el.PNum(3) == el.PNum(6)) { if(el.PNum(2) == el.PNum(5)) { el.SetType(TET); } else { el.SetType(PYRAMID); int pnr5 = el.PNum(3); el.PNum(3) = el.PNum(5); el.PNum(5) = pnr5; } } } } void ZRefinement (Mesh & mesh, const NetgenGeometry * hgeom, ZRefinementOptions & opt) { const CSGeometry * geom = dynamic_cast (hgeom); if (!geom) return; INDEX_2_HASHTABLE singedges(mesh.GetNSeg()); SelectSingularEdges (mesh, *geom, singedges, opt); //MakePrismsSingEdge (mesh, singedges); MakePrismsClosePoints (mesh); RefinePrisms (mesh, geom, opt); CombineSingularPrisms(mesh); } ZRefinementOptions :: ZRefinementOptions() { minref = 0; } }