#include "boundarylayer.hpp" namespace netgen { namespace detail { struct Neighbor { PointIndex pi; SurfaceElementIndex sei; double weight; }; } // namespace detail Array> BuildNeighbors(FlatArray points, const Mesh &mesh) { auto p2sel = mesh.CreatePoint2SurfaceElementTable(); Array> neighbors(points.Size()); ArrayMem angles; ArrayMem inv_dists; for (auto i : points.Range()) { auto &p_neighbors = neighbors[i]; auto pi = points[i]; angles.SetSize(0); inv_dists.SetSize(0); for (auto sei : p2sel[pi]) { const auto &sel = mesh[sei]; for (auto pi1 : sel.PNums()) { if (pi1 == pi) continue; auto pi2 = pi1; for (auto pi_ : sel.PNums()) { if (pi_ != pi && pi_ != pi1) { pi2 = pi_; break; } } p_neighbors.Append({pi1, sei, 0.0}); inv_dists.Append(1.0 / (mesh[pi1] - mesh[pi]).Length()); auto dot = (mesh[pi1] - mesh[pi]).Normalize() * (mesh[pi2] - mesh[pi]).Normalize(); angles.Append(acos(dot)); } } double sum_inv_dist = 0.0; for (auto inv_dist : inv_dists) sum_inv_dist += inv_dist; double sum_angle = 0.0; for (auto angle : angles) sum_angle += angle; double sum_weight = 0.0; for (auto i : Range(inv_dists)) { p_neighbors[i].weight = inv_dists[i] * angles[i] / sum_inv_dist / sum_angle; sum_weight += p_neighbors[i].weight; } for (auto i : Range(inv_dists)) p_neighbors[i].weight /= sum_weight; } return neighbors; } void BoundaryLayerTool ::InterpolateGrowthVectors() { int new_max_edge_nr = max_edge_nr; for (const auto &seg : segments) if (seg.edgenr > new_max_edge_nr) new_max_edge_nr = seg.edgenr; for (const auto &seg : new_segments) if (seg.edgenr > new_max_edge_nr) new_max_edge_nr = seg.edgenr; auto getGW = [&](PointIndex pi) -> Vec<3> { if (growth_vector_map.count(pi) == 0) growth_vector_map[pi] = {&growthvectors[pi], total_height}; auto [gw, height] = growth_vector_map[pi]; return height * (*gw); }; auto addGW = [&](PointIndex pi, Vec<3> vec) { if (growth_vector_map.count(pi) == 0) growth_vector_map[pi] = {&growthvectors[pi], total_height}; auto [gw, height] = growth_vector_map[pi]; *gw += 1.0 / height * vec; }; // interpolate tangential component of growth vector along edge if (max_edge_nr >= new_max_edge_nr) return; auto edgenr2seg = ngcore::CreateSortedTable( Range(segments.Size() + new_segments.Size()), [&](auto &table, size_t segi) { auto &seg = segi < segments.Size() ? segments[segi] : new_segments[segi - segments.Size()]; table.Add(seg.edgenr, &seg); }, new_max_edge_nr + 1); auto point2seg = ngcore::CreateSortedTable( Range(segments.Size() + new_segments.Size()), [&](auto &table, size_t segi) { auto &seg = segi < segments.Size() ? segments[segi] : new_segments[segi - segments.Size()]; table.Add(seg[0], &seg); table.Add(seg[1], &seg); }, mesh.GetNP()); for (auto edgenr : Range(max_edge_nr + 1, new_max_edge_nr + 1)) { double edge_len = 0.; auto is_end_point = [&](PointIndex pi) { auto segs = point2seg[pi]; if (segs.Size() == 1) return true; auto first_edgenr = (*segs[0]).edgenr; for (auto *p_seg : segs) if (p_seg->edgenr != first_edgenr) return true; return false; }; bool any_grows = false; Array points; for (auto *p_seg : edgenr2seg[edgenr]) { auto &seg = *p_seg; if (getGW(seg[0]).Length2() != 0 || getGW(seg[1]).Length2() != 0) any_grows = true; if (points.Size() == 0) for (auto i : Range(2)) if (is_end_point(seg[i])) { points.Append(seg[i]); points.Append(seg[1 - i]); edge_len += (mesh[seg[1]] - mesh[seg[0]]).Length(); break; } } if (!any_grows) { PrintMessage(1, "BLayer: skip interpolating growth vectors at edge ", edgenr + 1); continue; } if (!points.Size()) { cerr << "Could not find startpoint for edge " << edgenr << endl; continue; } std::set points_set; points_set.insert(points[0]); points_set.insert(points[1]); bool point_found = true; while (point_found) { if (is_end_point(points.Last())) break; point_found = false; for (auto *p_seg : point2seg[points.Last()]) { const auto &seg = *p_seg; if (seg.edgenr != edgenr) continue; auto plast = points.Last(); if (plast != seg[0] && plast != seg[1]) continue; auto pnew = plast == seg[0] ? seg[1] : seg[0]; if (pnew == points[0] && points.Size() > 1) { } if (points_set.count(pnew) > 0 && (pnew != points[0] || points.Size() == 2)) continue; edge_len += (mesh[points.Last()] - mesh[pnew]).Length(); points.Append(pnew); points_set.insert(pnew); point_found = true; break; } } if (!point_found) { cerr << "Could not find connected list of line segments for edge " << edgenr << endl; cerr << "current points: " << endl << points << endl; continue; } if (getGW(points[0]).Length2() == 0 && getGW(points.Last()).Length2() == 0) continue; // tangential part of growth vectors auto t1 = (mesh[points[1]] - mesh[points[0]]).Normalize(); auto gt1 = getGW(points[0]) * t1 * t1; auto t2 = (mesh[points.Last()] - mesh[points[points.Size() - 2]]).Normalize(); auto gt2 = getGW(points.Last()) * t2 * t2; double len = 0.; for (auto i : IntRange(1, points.Size() - 1)) { auto pi = points[i]; len += (mesh[pi] - mesh[points[i - 1]]).Length(); auto t = getEdgeTangent(pi, edgenr, point2seg[pi]); auto lam = len / edge_len; auto interpol = (1 - lam) * (gt1 * t) * t + lam * (gt2 * t) * t; addGW(pi, interpol); } } } void BoundaryLayerTool ::InterpolateSurfaceGrowthVectors() { static Timer tall("InterpolateSurfaceGrowthVectors"); RegionTimer rtall(tall); static Timer tsmooth("InterpolateSurfaceGrowthVectors-Smoothing"); auto np_old = this->np; auto np = mesh.GetNP(); // non_bl_growth_vectors.clear(); // for(const auto & sel : new_sels) { // for(auto pi : sel.PNums()) { // if(mesh[pi].Type() == INNERPOINT) // mesh[pi].SetType(SURFACEPOINT); // } // } // cout << __FILE__ << ":" << __LINE__ << endl; auto getGW = [&](PointIndex pi) -> Vec<3> { return growthvectors[pi]; // if (growth_vector_map.count(pi) == 0) { // non_bl_growth_vectors[pi] = .0; // growth_vector_map[pi] = {&non_bl_growth_vectors[pi], 1.0}; // } // auto [gw, height] = growth_vector_map[pi]; // return height * (*gw); }; auto addGW = [&](PointIndex pi, Vec<3> vec) { growthvectors[pi] += vec; // // cout << "add gw " << pi << "\t" << vec << endl; // if (growth_vector_map.count(pi) == 0) { // // cout << "\t make new entry" << endl; // non_bl_growth_vectors[pi] = .0; // growth_vector_map[pi] = {&non_bl_growth_vectors[pi], 1.0}; // } // auto [gw, height] = growth_vector_map[pi]; // // cout << "\tcurrent gw " << *gw << "\t" << height << endl; // *gw += 1.0 / height * vec; }; auto hasMoved = [&](PointIndex pi) { return (pi - PointIndex::BASE >= np_old) || mapto[pi].Size() > 0 || special_boundary_points.count(pi); }; // cout << __FILE__ << ":" << __LINE__ << endl; std::set points_set; for (const auto &sel : mesh.SurfaceElements()) { for (auto pi : sel.PNums()) if (mesh[pi].Type() == SURFACEPOINT && hasMoved(pi)) points_set.insert(pi); } Array points; for (auto pi : points_set) points.Append(pi); QuickSort(points); // smooth tangential part of growth vectors from edges to surface elements Array, PointIndex> corrections(mesh.GetNP()); corrections = 0.0; RegionTimer rtsmooth(tsmooth); auto neighbors = BuildNeighbors(points, mesh); Array, SurfaceElementIndex> surf_normals(mesh.GetNSE()); for (auto sei : mesh.SurfaceElements().Range()) surf_normals[sei] = getNormal(mesh[sei]); BitArray interpolate_tangent(mesh.GetNP() + 1); interpolate_tangent = false; for (auto pi : points) { for (auto sei : p2sel[pi]) if (is_boundary_moved[mesh[sei].GetIndex()]) interpolate_tangent.SetBit(pi); } constexpr int N_STEPS = 64; for ([[maybe_unused]] auto i : Range(N_STEPS)) { for (auto i : points.Range()) { auto pi = points[i]; // cout << "AVERAGE " << pi << endl; auto &p_neighbors = neighbors[i]; ArrayMem, 20> g_vectors; double max_len = 0.0; double sum_len = 0.0; // average only tangent component on new bl points, average whole growth // vector otherwise bool do_average_tangent = true; for (const auto &s : p_neighbors) { auto gw_other = getGW(s.pi) + corrections[s.pi]; if (do_average_tangent) { auto n = surf_normals[s.sei]; gw_other = gw_other - (gw_other * n) * n; } auto v = gw_other; auto len = v.Length2(); sum_len += len; max_len = max(max_len, len); g_vectors.Append(v); } if (max_len == 0.0) continue; double lambda = 0; if (i > N_STEPS / 4.) lambda = 2.0 * (i - N_STEPS / 4.) / (N_STEPS / 2.); lambda = min(1.0, lambda); auto &correction = corrections[pi]; correction = 0.0; for (const auto i : p_neighbors.Range()) { auto v = g_vectors[i]; double weight = lambda * p_neighbors[i].weight + (1.0 - lambda) * v.Length2() / sum_len; // if(pi == 19911) cout << "pi " << pi << "\tneighbor " << // p_neighbors[i].pi << "\tweight " << weight << endl; correction += weight * v; } if (!do_average_tangent) correction -= getGW(pi); // if(pi == 19911) cout << "pi " << pi << "\tcorrection " << correction << // endl; } } for (auto pi : points) addGW(pi, corrections[pi]); } void BoundaryLayerTool ::FixSurfaceElements() { static Timer tall("FixSurfaceElements"); RegionTimer rtall(tall); auto np_old = this->np; auto np = mesh.GetNP(); non_bl_growth_vectors.clear(); auto getGW = [&](PointIndex pi) -> Vec<3> { // return growthvectors[pi]; if (growth_vector_map.count(pi) == 0) { non_bl_growth_vectors[pi] = .0; growth_vector_map[pi] = {&non_bl_growth_vectors[pi], 1.0}; } auto [gw, height] = growth_vector_map[pi]; return height * (*gw); }; auto addGW = [&](PointIndex pi, Vec<3> vec) { if (growth_vector_map.count(pi) == 0) { non_bl_growth_vectors[pi] = .0; growth_vector_map[pi] = {&non_bl_growth_vectors[pi], 1.0}; } auto [gw, height] = growth_vector_map[pi]; *gw += 1.0 / height * vec; }; std::set points_set; // only smooth over old surface elements for (SurfaceElementIndex sei : Range(nse)) { const auto &sel = mesh[sei]; if (sel.GetNP() == 3 && is_boundary_moved[sel.GetIndex()]) for (auto pi : sel.PNums()) if (mesh[pi].Type() == SURFACEPOINT) points_set.insert(pi); } Array points; for (auto pi : points_set) points.Append(pi); QuickSort(points); Array, PointIndex> corrections(mesh.GetNP()); corrections = 0.0; auto neighbors = BuildNeighbors(points, mesh); constexpr int N_STEPS = 32; for ([[maybe_unused]] auto i : Range(N_STEPS)) { for (auto i : points.Range()) { auto pi = points[i]; auto &p_neighbors = neighbors[i]; ArrayMem, 20> g_vectors; double max_len = 0.0; double sum_len = 0.0; for (const auto &s : p_neighbors) { auto v = getGW(s.pi) + corrections[s.pi]; auto len = v.Length2(); sum_len += len; max_len = max(max_len, len); g_vectors.Append(v); } if (max_len == 0.0) continue; double lambda = 0; if (i > N_STEPS / 4.) lambda = 2.0 * (i - N_STEPS / 4.) / (N_STEPS / 2.); lambda = min(1.0, lambda); auto &correction = corrections[pi]; correction = 0.0; for (const auto i : p_neighbors.Range()) { auto v = g_vectors[i]; double weight = lambda * p_neighbors[i].weight + (1.0 - lambda) * v.Length2() / sum_len; correction += weight * v; } } } for (auto pi : points) addGW(pi, corrections[pi]); } } // namespace netgen