Generator for `pipe_junction` geometries.

diff --git a/doc/doxygen/images/tee_corner.png b/doc/doxygen/images/tee_corner.png
new file mode 100644 (file)
index 0000000..1900bd9
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diff --git a/doc/doxygen/images/tee_tpipe.png b/doc/doxygen/images/tee_tpipe.png
new file mode 100644 (file)
index 0000000..6e00edf
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diff --git a/doc/doxygen/images/tee_ypipe.png b/doc/doxygen/images/tee_ypipe.png
new file mode 100644 (file)
index 0000000..defb156
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diff --git a/doc/news/changes/major/20211201Fehling b/doc/news/changes/major/20211201Fehling
new file mode 100644 (file)
index 0000000..a39eef7
--- /dev/null
+++ b/doc/news/changes/major/20211201Fehling
@@ -0,0 +1,5 @@
+New: Geometry GridGenerator::pipe_junction() creates an intersection of
+arbitrary truncated cones in 3D. It can be used to generate T-pipes,
+Y-pipes, corner pieces and other fittings.
+<br>
+(Marc Fehling, Maximilian Bergbauer, Peter Munch, Martin Kronbichler, 2021/12/01)

diff --git a/include/deal.II/grid/grid_generator.h b/include/deal.II/grid/grid_generator.h
index 3a38bfd6baba6e4dbbb98c27214b31b48fbf6928..d5c477c4fbea1d0489bd0f7e5afe944cdde3013a 100644 (file)
--- a/include/deal.II/grid/grid_generator.h
+++ b/include/deal.II/grid/grid_generator.h
@@ -1025,6 +1025,113 @@ namespace GridGenerator
                  const double        radius_1    = 0.5,
                  const double        half_length = 1.0);
 
+  /**
+   * Initialize the given triangulation with a pipe junction, which is the
+   * intersection of three truncated cones.
+   *
+   * The geometry has four characteristic cross sections, located at the three
+   * openings and the bifurcation. They need to be specified via the function's
+   * arguments: each cross section is described by a characteristic point and a
+   * radius. The cross sections at the openings are circles and are described by
+   * their center point and radius. The bifurcation point describes where the
+   * symmetry axes of all cones meet.
+   *
+   * Each truncated cone is transformed so that the three merge seamlessly into
+   * each other. The bifurcation radius describes the radius that each original,
+   * untransformed, truncated cone would have at the bifurcation. This radius is
+   * necessary for the construction of the geometry and can, in general, no
+   * longer be found in the final result.
+   *
+   * Each cone will be assigned a distinct <em>material ID</em> that matches the
+   * index of their opening in the argument @p openings. For example, the cone
+   * which connects to opening with index 0 in @p openings will have material ID 0.
+   *
+   * Similarly, <em>boundary IDs</em> are assigned to the cross-sections of each
+   * opening to match their index. All other boundary faces will be assigned
+   * boundary ID 3.
+   *
+   * <em>Manifold IDs</em> will be set on the mantles of each truncated cone in
+   * the same way. Currently, no manifold objects will be attached.
+   *
+   * @pre The triangulation passed as argument needs to be empty when calling
+   * this function.
+   *
+   * @note Only implemented for `dim = 3` and `spacedim = 3`.
+   *
+   * @param tria An empty triangulation which will hold the pipe junction geometry.
+   * @param openings Center point and radius of each of the three openings.
+   *                 The container has to be of size three.
+   * @param bifurcation Center point of the bifurcation and hypothetical radius of
+   *                    each truncated cone at the bifurcation.
+   * @param aspect_ratio Aspect ratio of cells, specified as radial over z-extension.
+   *                     Default ratio is $\Delta r/\Delta z = 1/2$.
+   *
+   * Common configurations of tee fittings that can be generated with the
+   * following sets of parameters are:
+   * <div class="threecolumn" style="width: 80%; text-align: center;">
+   *   <div>
+   *     \htmlonly <style>div.image
+   *       img[src="tee_corner.png"]{width:100%}</style>
+   *     \endhtmlonly
+   *     @image html tee_corner.png
+   *     <table class="doxtable" style="display: inline-table;">
+   *       <tr><th colspan="3">Corner piece
+   *       <tr><td>
+   *           <td>Point
+   *           <td>Radius
+   *       <tr><td>Openings
+   *           <td>$(2,0,0)$<br>$(0,2,0)$<br>$(0,0,2)$
+   *           <td>$1$<br>$1$<br>$1$
+   *       <tr><td>Bifurcation
+   *           <td>$(0,0,0)$
+   *           <td>$1$
+   *     </table>
+   *   </div>
+   *   <div>
+   *     \htmlonly <style>div.image
+   *       img[src="tee_tpipe.png"]{width:100%}</style>
+   *     \endhtmlonly
+   *     @image html tee_tpipe.png
+   *     <table class="doxtable" style="display: inline-table;">
+   *       <tr><th colspan="3">T-pipe
+   *       <tr><td>
+   *           <td>Point
+   *           <td>Radius
+   *       <tr><td>Openings
+   *           <td>$(-2,0,0)$<br>$(0,2,0)$<br>$(2,0,0)$
+   *           <td>$1$<br>$1$<br>$1$
+   *       <tr><td>Bifurcation
+   *           <td>$(0,0,0)$
+   *           <td>$1$
+   *     </table>
+   *   </div>
+   *   <div>
+   *     \htmlonly <style>div.image
+   *       img[src="tee_ypipe.png"]{width:100%}</style>
+   *     \endhtmlonly
+   *     @image html tee_ypipe.png
+   *     <table class="doxtable" style="display: inline-table;">
+   *       <tr><th colspan="3">Y-pipe
+   *       <tr><td>
+   *           <td>Point
+   *           <td>Radius
+   *       <tr><td>Openings
+   *           <td>$(-2,0,0)$<br>$(1,\sqrt{3},1)$<br>$(1,-\sqrt{3},1)$
+   *           <td>$1$<br>$1$<br>$1$
+   *       <tr><td>Bifurcation
+   *           <td>$(0,0,0)$
+   *           <td>$1$
+   *     </table>
+   *   </div>
+   * </div>
+   */
+  template <int dim, int spacedim>
+  void
+  pipe_junction(Triangulation<dim, spacedim> &                         tria,
+                const std::vector<std::pair<Point<spacedim>, double>> &openings,
+                const std::pair<Point<spacedim>, double> &bifurcation,
+                const double                              aspect_ratio = 0.5);
+
   /**
    * \brief A center cell with stacks of cell protruding from each surface.
    *

diff --git a/source/grid/CMakeLists.txt b/source/grid/CMakeLists.txt
index 8d0bf1bdaed8e73f1653c7026537d70505cfc962..262b797dca9c31b49320a4562b239b0d729de92b 100644 (file)
--- a/source/grid/CMakeLists.txt
+++ b/source/grid/CMakeLists.txt
@@ -36,6 +36,7 @@ SET(_separate_src
   grid_in.cc
   grid_out.cc
   grid_generator.cc
+  grid_generator_pipe_junction.cc
   grid_tools.cc
   grid_tools_cache.cc
   grid_tools_nontemplates.cc
@@ -56,6 +57,7 @@ SET(_inst
   cell_id.inst.in
   grid_generator.inst.in
   grid_generator_from_name.inst.in
+  grid_generator_pipe_junction.inst.in
   grid_in.inst.in
   grid_out.inst.in
   grid_refinement.inst.in

diff --git a/source/grid/grid_generator_from_name.cc b/source/grid/grid_generator_from_name.cc
index 60f8952640eb300a4b50bce8c02b6a694bc79d51..8b58ef10b9fda565ef449b062f21004c985db38f 100644 (file)
--- a/source/grid/grid_generator_from_name.cc
+++ b/source/grid/grid_generator_from_name.cc
@@ -151,6 +151,13 @@ namespace GridGenerator
                                                            arguments,
                                                            tria);
 
+      else if (name == "pipe_junction")
+        parse_and_create<dim,
+                         dim,
+                         const std::vector<std::pair<Point<dim>, double>> &,
+                         const std::pair<Point<dim>, double> &,
+                         double>(pipe_junction, arguments, tria);
+
       else if (name == "hyper_L")
         parse_and_create<dim, dim, double, double, bool>(hyper_L,
                                                          arguments,

diff --git a/source/grid/grid_generator_pipe_junction.cc b/source/grid/grid_generator_pipe_junction.cc
new file mode 100644 (file)
index 0000000..b2b8359
--- /dev/null
+++ b/source/grid/grid_generator_pipe_junction.cc
@@ -0,0 +1,437 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2021 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_tools.h>
+#include <deal.II/grid/manifold.h>
+
+#include <deal.II/physics/transformations.h>
+#include <deal.II/physics/vector_relations.h>
+
+
+DEAL_II_NAMESPACE_OPEN
+
+namespace
+{
+  /**
+   * Auxiliary constructs for the pipe junction geometry.
+   *
+   * Please refer to the in-source documentation of the pipe_junction function
+   * below for more information about the individual contents.
+   */
+  namespace PipeSegment
+  {
+    /**
+     * Selection of pipe segment properties to calculate its height with the
+     * function below.
+     */
+    struct AdditionalData
+    {
+      double skeleton_length;
+
+      double cosecant_polar;
+      double cotangent_polar;
+      double cotangent_azimuth_half_right;
+      double cotangent_azimuth_half_left;
+    };
+
+
+
+    /**
+     * Calculate the height of a pipe segment, depending on the location in the
+     * x-y plane.
+     */
+    inline double
+    compute_z_expansion(const double          x,
+                        const double          y,
+                        const AdditionalData &data)
+    {
+      return
+        // Scale the unit cylinder to the correct length.
+        data.skeleton_length
+        // Next, adjust for the polar angle. This part will be zero if all
+        // openings and the bifurcation are located on a plane.
+        + x * data.cotangent_polar
+        // Last, adjust for the azimuth angle.
+        - std::abs(y) * data.cosecant_polar *
+            ((y > 0) ? data.cotangent_azimuth_half_right :
+                       data.cotangent_azimuth_half_left);
+    }
+  } // namespace PipeSegment
+} // namespace
+
+
+
+namespace GridGenerator
+{
+  template <int dim, int spacedim>
+  void
+  pipe_junction(Triangulation<dim, spacedim> &,
+                const std::vector<std::pair<Point<spacedim>, double>> &,
+                const std::pair<Point<spacedim>, double> &,
+                const double)
+  {
+    Assert(false, ExcNotImplemented());
+  }
+
+
+
+  template <>
+  void
+  pipe_junction(Triangulation<3, 3> &                           tria,
+                const std::vector<std::pair<Point<3>, double>> &openings,
+                const std::pair<Point<3>, double> &             bifurcation,
+                const double                                    aspect_ratio)
+  {
+    constexpr unsigned int dim      = 3;
+    constexpr unsigned int spacedim = 3;
+    using vector                    = Tensor<1, spacedim, double>;
+
+    constexpr unsigned int n_pipes   = 3;
+    constexpr double       tolerance = 1.e-12;
+
+#ifdef DEBUG
+    // Verify user input.
+    Assert(bifurcation.second > 0,
+           ExcMessage("Invalid input: negative radius."));
+    Assert(openings.size() == n_pipes,
+           ExcMessage("Invalid input: only 3 openings allowed."));
+    for (const auto &opening : openings)
+      Assert(opening.second > 0, ExcMessage("Invalid input: negative radius."));
+#endif
+
+    // Each pipe segment will be identified by the index of its opening in the
+    // parameter array. To determine the next and previous entry in the array
+    // for a given index, we create auxiliary functions.
+    const auto cyclic = [](const unsigned int i) -> unsigned int {
+      constexpr unsigned int n_pipes = 3;
+      return (i < (n_pipes - 1)) ? i + 1 : 0;
+    };
+    const auto anticyclic = [](const unsigned int i) -> unsigned int {
+      constexpr unsigned int n_pipes = 3;
+      return (i > 0) ? i - 1 : n_pipes - 1;
+    };
+
+    // Cartesian base represented by unit vectors.
+    constexpr std::array<vector, spacedim> directions = {
+      {vector({1., 0., 0.}), vector({0., 1., 0.}), vector({0., 0., 1.})}};
+
+    // The skeleton corresponds to the axis of symmetry in the center of each
+    // pipe segment. Each skeleton vector points from the associated opening to
+    // the common bifurcation point. For convenience, we also compute length and
+    // unit vector of every skeleton vector here.
+    std::array<vector, n_pipes> skeleton;
+    for (unsigned int p = 0; p < n_pipes; ++p)
+      skeleton[p] = bifurcation.first - openings[p].first;
+
+    std::array<double, n_pipes> skeleton_length;
+    for (unsigned int p = 0; p < n_pipes; ++p)
+      skeleton_length[p] = skeleton[p].norm();
+
+    // In many assertions that come up below, we will verify the integrity of
+    // the geometry. For this, we introduce a tolerance length which vectors
+    // must exceed to avoid being considered "too short". We relate this length
+    // to the longest pipe segment.
+    const double tolerance_length =
+      tolerance *
+      *std::max_element(skeleton_length.begin(), skeleton_length.end());
+
+    std::array<vector, n_pipes> skeleton_unit;
+    for (unsigned int p = 0; p < n_pipes; ++p)
+      {
+        Assert(skeleton_length[p] > tolerance_length,
+               ExcMessage("Invalid input: bifurcation matches opening."));
+        skeleton_unit[p] = skeleton[p] / skeleton_length[p];
+      }
+
+    // To determine the orientation of the pipe segments to each other, we will
+    // construct a plane: starting from the bifurcation point, we will move by
+    // the magnitude one in each of the skeleton directions and span a plane
+    // with the three points we reached.
+    //
+    // The normal vector of this particular plane then describes the edge at
+    // which all pipe segments meet. If we would interpret the bifurcation as a
+    // ball joint, the normal vector would correspond to the polar axis of the
+    // ball.
+    vector normal = cross_product_3d(skeleton_unit[1] - skeleton_unit[0],
+                                     skeleton_unit[2] - skeleton_unit[0]);
+    Assert(normal.norm() > tolerance_length,
+           ExcMessage("Invalid input: all three openings "
+                      "are located on one line."));
+    normal /= normal.norm();
+
+    // Projections of all skeleton vectors perpendicular to the normal vector,
+    // or in other words, onto the plane described above.
+    std::array<vector, n_pipes> skeleton_plane;
+    for (unsigned int p = 0; p < n_pipes; ++p)
+      {
+        skeleton_plane[p] = skeleton[p] - (skeleton[p] * normal) * normal;
+        Assert(std::abs(skeleton_plane[p] * normal) <
+                 tolerance * skeleton_plane[p].norm(),
+               ExcInternalError());
+        Assert(skeleton_plane[p].norm() > tolerance_length,
+               ExcMessage("Invalid input."));
+      }
+
+    // Create a hyperball domain in 2D that will act as the reference cross
+    // section for each pipe segment.
+    Triangulation<dim - 1, spacedim - 1> tria_base;
+    GridGenerator::hyper_ball_balanced(tria_base,
+                                       /*center=*/Point<spacedim - 1>(),
+                                       /*radius=*/1.);
+
+    // Now move on to actually build the pipe junction geometry!
+    //
+    // For each pipe segment, we create a separate triangulation object which
+    // will be merged with the parameter triangulation in the end.
+    Assert(tria.n_cells() == 0,
+           ExcMessage("The output triangulation object needs to be empty."));
+    for (unsigned int p = 0; p < n_pipes; ++p)
+      {
+        Triangulation<dim, spacedim> pipe;
+
+        //
+        // Step 1: create unit cylinder
+        //
+        // We create a unit cylinder by extrusion from the base cross section.
+        // The number of layers depends on the ratio of the length of the
+        // skeleton and half the minimal radius in the pipe segment. The latter
+        // corresponds to the length in radial direction of the smallest cell in
+        // the base cross section. Further, the aspect ratio of the extruded
+        // cells can be set individually with a function parameter.
+        const unsigned int n_slices =
+          1 + static_cast<unsigned int>(std::ceil(
+                aspect_ratio * skeleton_length[p] /
+                (0.5 * std::min(openings[p].second, bifurcation.second))));
+        GridGenerator::extrude_triangulation(tria_base,
+                                             n_slices,
+                                             /*height*/ 1.,
+                                             pipe);
+
+        // Set all material and manifold indicators on the unit cylinder, simply
+        // because they are easier to handle in this geometry. We will set
+        // boundary indicators at the end of the function. See general
+        // documentation of this function.
+        for (const auto &cell : pipe.active_cell_iterators())
+          {
+            cell->set_material_id(p);
+
+            for (const auto &face : cell->face_iterators())
+              if (face->at_boundary())
+                {
+                  const auto center_z = face->center()[2];
+
+                  if (std::abs(center_z) < tolerance)
+                    {
+                      // opening cross section
+                    }
+                  else if (std::abs(center_z - 1.) < tolerance)
+                    {
+                      // bifurcation cross section
+                    }
+                  else
+                    {
+                      // cone mantle
+                      face->set_all_manifold_ids(p);
+                    }
+                }
+          }
+
+        //
+        // Step 2: transform unit cylinder to pipe segment
+        //
+        // For the given cylinder, we will interpret the base in the xy-plane as
+        // the cross section of the opening, and the base at z=1 as the surface
+        // where all pipe segments meet. On the latter surface, we assign the
+        // section in positive y-direction to face the next (right/cyclic) pipe
+        // segment, and allocate the domain in negative y-direction to border
+        // the previous (left/anticyclic) pipe segment.
+        //
+        // In the end, the transformed pipe segment will look like this:
+        //              z                   z
+        //              ^                   ^
+        //         left | right             |  /|
+        //   anticyclic | cyclic            |/  |
+        //             /|\                 /|   |
+        //           /  |  \             /  |   |
+        //          |   |   |           |   |   |
+        //          |   |   |           |   |   |
+        //        ------+----->y      ------+----->x
+
+        // Before transforming the unit cylinder however, we compute angle
+        // relations between the skeleton vectors viewed from the bifurcation
+        // point. For this purpose, we interpret the bifurcation as a ball joint
+        // as described above.
+        //
+        // In spherical coordinates, the polar angle describes the kink of the
+        // skeleton vector with respect to the polar axis. If all openings and
+        // the bifurcation are located on a plane, then this angle is pi/2 for
+        // every pipe segment.
+        const double polar_angle =
+          Physics::VectorRelations::angle(skeleton[p], normal);
+        Assert(std::abs(polar_angle) > tolerance &&
+                 std::abs(polar_angle - numbers::PI) > tolerance,
+               ExcMessage("Invalid input."));
+
+        // Further, we compute the angles between this pipe segment to the other
+        // two. The angle corresponds to the azimuthal direction if we stick to
+        // the picture of the ball joint.
+        const double azimuth_angle_right =
+          Physics::VectorRelations::signed_angle(skeleton_plane[p],
+                                                 skeleton_plane[cyclic(p)],
+                                                 /*axis=*/normal);
+        Assert(std::abs(azimuth_angle_right) > tolerance,
+               ExcMessage("Invalid input: at least two openings located "
+                          "in same direction from bifurcation"));
+
+        const double azimuth_angle_left =
+          Physics::VectorRelations::signed_angle(skeleton_plane[p],
+                                                 skeleton_plane[anticyclic(p)],
+                                                 /*axis=*/-normal);
+        Assert(std::abs(azimuth_angle_left) > tolerance,
+               ExcMessage("Invalid input: at least two openings located "
+                          "in same direction from bifurcation"));
+
+        // We compute some trigonometric relations with these angles, and store
+        // them conveniently in a struct to be reused later.
+        PipeSegment::AdditionalData data;
+        data.skeleton_length = skeleton_length[p];
+        data.cosecant_polar  = 1. / std::sin(polar_angle);
+        data.cotangent_polar = std::cos(polar_angle) * data.cosecant_polar;
+        data.cotangent_azimuth_half_right = std::cos(.5 * azimuth_angle_right) /
+                                            std::sin(.5 * azimuth_angle_right);
+        data.cotangent_azimuth_half_left =
+          std::cos(.5 * azimuth_angle_left) / std::sin(.5 * azimuth_angle_left);
+
+        // Now transform the cylinder as described above.
+        const auto pipe_segment = [&](const Point<spacedim> &pt) {
+          // We transform the cylinder in x- and y-direction to become a
+          // truncated cone, similarly to GridGenerator::truncated_cone().
+          const double r_factor =
+            (bifurcation.second - openings[p].second) * pt[2] +
+            openings[p].second;
+          const double x_new = r_factor * pt[0];
+          const double y_new = r_factor * pt[1];
+
+          // Further, to be able to smoothly merge all pipe segments at the
+          // bifurcation, we also need to transform in z-direction.
+          const double z_factor =
+            PipeSegment::compute_z_expansion(x_new, y_new, data);
+          Assert(z_factor > 0,
+                 ExcMessage("Invalid input: at least one pipe segment "
+                            "is not long enough in this configuration"));
+          const double z_new = z_factor * pt[2];
+
+          // TODO: MSVC can't capture const or constexpr values in lambda
+          // functions (due to either a missing implementation or a bug).
+          // Instead, we duplicate the declaration here.
+          //   See also: https://developercommunity.visualstudio.com/t/
+          //             invalid-template-argument-expected-compile-time-co/187862
+          constexpr unsigned int spacedim = 3;
+          return Point<spacedim>(x_new, y_new, z_new);
+        };
+        GridTools::transform(pipe_segment, pipe);
+
+        //
+        // Step 3: rotate pipe segment to match skeleton direction
+        //
+        // The symmetry axis of the pipe segment in its current state points in
+        // positive z-direction. We rotate the pipe segment that its symmetry
+        // axis matches the direction of the skeleton vector. For this purpose,
+        // we rotate the pipe segment around the axis that is described by the
+        // cross product of both vectors.
+        const double rotation_angle =
+          Physics::VectorRelations::angle(directions[2], skeleton_unit[p]);
+        const vector rotation_axis = [&]() {
+          const vector rotation_axis =
+            cross_product_3d(directions[2], skeleton_unit[p]);
+          const double norm = rotation_axis.norm();
+          if (norm < tolerance)
+            return directions[1];
+          else
+            return rotation_axis / norm;
+        }();
+        const Tensor<2, spacedim, double> rotation_matrix =
+          Physics::Transformations::Rotations::rotation_matrix_3d(
+            rotation_axis, rotation_angle);
+        GridTools::transform(
+          [&](const Point<spacedim> &pt) { return rotation_matrix * pt; },
+          pipe);
+
+        //
+        // Step 4: rotate laterally to align pipe segments
+        //
+        // On the unit cylinder, we find that the edge on which all pipe
+        // segments meet is parallel to the x-axis. After the transformation to
+        // the pipe segment, we notice that this statement still holds for the
+        // projection of this edge onto the xy-plane, which corresponds to the
+        // cross section of the opening.
+        //
+        // With the latest rotation however, this is no longer the case. We
+        // rotate the unit vector in x-direction in the same fashion, which
+        // gives us the current direction of the projected edge.
+        const vector Rx = rotation_matrix * directions[0];
+
+        // To determine how far we need to rotate, we also need to project the
+        // polar axis of the bifurcation ball joint into the same plane.
+        const vector normal_projected_on_opening =
+          normal - (normal * skeleton_unit[p]) * skeleton_unit[p];
+
+        // Both the projected normal and Rx must be in the opening plane.
+        Assert(std::abs(skeleton_unit[p] * normal_projected_on_opening) <
+                 tolerance,
+               ExcInternalError());
+        Assert(std::abs(skeleton_unit[p] * Rx) < tolerance, ExcInternalError());
+
+        // Now we laterally rotate the pipe segment around its own symmetry axis
+        // that the edge matches the polar axis.
+        const double lateral_angle =
+          Physics::VectorRelations::signed_angle(Rx,
+                                                 normal_projected_on_opening,
+                                                 /*axis=*/skeleton_unit[p]);
+        GridTools::rotate(skeleton_unit[p], lateral_angle, pipe);
+
+        //
+        // Step 5: shift to final position
+        //
+        GridTools::shift(openings[p].first, pipe);
+
+        GridGenerator::merge_triangulations(
+          pipe, tria, tria, tolerance_length, /*copy_manifold_ids=*/true);
+      }
+
+    // Since GridGenerator::merge_triangulations() does not copy boundary IDs,
+    // we need to set them after the final geometry is created. Luckily,
+    // boundary IDs match with material IDs, so we simply translate them with
+    // the help of manifold IDs to identify openings.
+    for (const auto &cell : tria.active_cell_iterators())
+      for (const auto &face : cell->face_iterators())
+        if (face->at_boundary())
+          {
+            if (face->manifold_id() == numbers::flat_manifold_id)
+              // opening cross section
+              face->set_boundary_id(cell->material_id());
+            else
+              // cone mantle
+              face->set_boundary_id(n_pipes);
+          }
+  }
+} // namespace GridGenerator
+
+
+// explicit instantiations
+#include "grid_generator_pipe_junction.inst"
+
+DEAL_II_NAMESPACE_CLOSE

diff --git a/source/grid/grid_generator_pipe_junction.inst.in b/source/grid/grid_generator_pipe_junction.inst.in
new file mode 100644 (file)
index 0000000..f2479ac
--- /dev/null
+++ b/source/grid/grid_generator_pipe_junction.inst.in
@@ -0,0 +1,30 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2021 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+for (deal_II_dimension : DIMENSIONS; deal_II_space_dimension : SPACE_DIMENSIONS)
+  {
+    namespace GridGenerator
+    \{
+#if deal_II_dimension <= deal_II_space_dimension && deal_II_dimension < 3
+      template void
+      pipe_junction<deal_II_dimension, deal_II_space_dimension>(
+        Triangulation<deal_II_dimension, deal_II_space_dimension> &,
+        const std::vector<std::pair<Point<deal_II_space_dimension>, double>> &,
+        const std::pair<Point<deal_II_space_dimension>, double> &,
+        const double);
+#endif
+    \}
+  }

diff --git a/tests/grid/grid_generator_pipe_junction.cc b/tests/grid/grid_generator_pipe_junction.cc
new file mode 100644 (file)
index 0000000..6fbd595
--- /dev/null
+++ b/tests/grid/grid_generator_pipe_junction.cc
@@ -0,0 +1,133 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2021 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+
+// Test a selection of common configurations of pipe junction geometries
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_out.h>
+#include <deal.II/grid/grid_tools.h>
+#include <deal.II/grid/tria.h>
+
+#include "../tests.h"
+
+
+/**
+ * Refines the provided triangulation globally by the specified amount of times.
+ *
+ * Also computes the volume of the mesh for debugging purposes. Writes the
+ * finest mesh into the log stream.
+ */
+template <int dim, int spacedim>
+void
+refine_and_write(Triangulation<dim, spacedim> &tria,
+                 const unsigned int            n_global_refinements = 0,
+                 const std::string             name                 = "grid")
+{
+  deallog << "name: " << name << std::endl;
+
+  const auto output = [&](const unsigned int n) {
+    deallog << "  n: " << n << ", volume: " << GridTools::volume(tria)
+            << std::endl;
+  };
+
+  output(0);
+  for (unsigned int n = 1; n <= n_global_refinements; ++n)
+    {
+      tria.refine_global();
+      output(n);
+    }
+
+  std::ostream &logfile = deallog.get_file_stream();
+  GridOut       grid_out;
+  grid_out.write_vtk(tria, logfile);
+}
+
+
+
+/**
+ * Tests a selection of common configurations of pipe junction geometries.
+ */
+void
+test_selection()
+{
+  constexpr unsigned int dim      = 3;
+  constexpr unsigned int spacedim = 3;
+
+  // y-pipe in plane
+  {
+    const std::vector<std::pair<Point<spacedim>, double>> openings = {
+      {{{-2., 0., 0.}, 1.},
+       {{1., std::sqrt(3), 0.}, 1.},
+       {{1., -std::sqrt(3), 0.}, 1.}}};
+
+    const std::pair<Point<spacedim>, double> bifurcation = {{0., 0., 0.}, 1.};
+
+    Triangulation<dim, spacedim> tria;
+    GridGenerator::pipe_junction(tria, openings, bifurcation);
+
+    refine_and_write(tria, 1, "ypipe");
+  }
+
+  // t-pipe in plane
+  {
+    const std::vector<std::pair<Point<spacedim>, double>> openings = {
+      {{{-2., 0., 0.}, 1.}, {{0., 2., 0.}, 1.}, {{2., 0., 0.}, 1.}}};
+
+    const std::pair<Point<spacedim>, double> bifurcation = {{0., 0., 0.}, 1.};
+
+    Triangulation<dim, spacedim> tria;
+    GridGenerator::pipe_junction(tria, openings, bifurcation);
+
+    refine_and_write(tria, 1, "tpipe");
+  }
+
+  // corner piece
+  {
+    const std::vector<std::pair<Point<spacedim>, double>> openings = {
+      {{{2., 0., 0.}, 1.}, {{0., 2., 0.}, 1.}, {{0., 0., 2.}, 1.}}};
+
+    const std::pair<Point<spacedim>, double> bifurcation = {{0., 0., 0.}, 1.};
+
+    Triangulation<dim, spacedim> tria;
+    GridGenerator::pipe_junction(tria, openings, bifurcation);
+
+    refine_and_write(tria, 1, "corner");
+  }
+
+  // irregular configuration with arbitrary points
+  {
+    const std::vector<std::pair<Point<spacedim>, double>> openings = {
+      {{{-4., 0., 0.}, 1.5}, {{4., -8., -0.4}, 0.75}, {{0.1, 0., -6.}, 0.5}}};
+
+    const std::pair<Point<spacedim>, double> bifurcation = {{0., 0., 0.}, 1.};
+
+    Triangulation<dim, spacedim> tria;
+    GridGenerator::pipe_junction(tria, openings, bifurcation);
+
+    refine_and_write(tria, 1, "irregular");
+  }
+}
+
+
+
+int
+main()
+{
+  initlog();
+
+  test_selection();
+}

diff --git a/tests/grid/grid_generator_pipe_junction.output b/tests/grid/grid_generator_pipe_junction.output
new file mode 100644 (file)
index 0000000..13c9df8
--- /dev/null
+++ b/tests/grid/grid_generator_pipe_junction.output
@@ -0,0 +1,15683 @@
+
+DEAL::name: ypipe
+DEAL::  n: 0, volume: 14.9994
+DEAL::  n: 1, volume: 14.9994
+# vtk DataFile Version 3.0
+Triangulation generated with deal.II
+ASCII
+DATASET UNSTRUCTURED_GRID
+POINTS 765 double
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+
+CELL_DATA 1368
+SCALARS MaterialID int 1
+LOOKUP_TABLE default
+2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
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+2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 3 0 3 0 0 3 3 0 0 0 0 2 2 2 0 2 3 3 0 3 3 0 0 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 3 3 0 3 3 0 0 0 3 3 3 3 0 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 3 3 0 3 3 0 0 0 3 3 3 3 0 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 3 3 0 3 3 0 3 3 3 3 0 0 3 0 3 0 0 3 3 0 0 0 3 3 0 3 3 0 0 0 0 0 3 3 0 3 3 0 0 0 3 3 3 3 0 0 0 0 3 3 0 3 3 0 0 0 3 3 3 3 0 0 0 0 3 3 0 3 3 0 3 3 3 3 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 3 0 3 0 0 3 3 0 0 0 0 1 1 1 0 1 3 3 0 3 3 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 1 3 3 0 3 3 0 0 0 3 3 3 3 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 1 3 3 0 3 3 0 0 0 3 3 3 3 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 1 3 3 0 3 3 0 3 3 3 3 0 0 0 0 3 3 0 3 3 0 3 3 3 3 0 0 0 3 3 3 0 3 3 3 3 3 0 0 0 3 3 3 0 3 3 3 3 3 0 0 0 0 3 3 0 3 3 0 3 3 3 3 0 0 0 0 3 0 3 0 0 3 3 0 0 0 0 0 3 3 0 3 3 0 0 0 0 0 0 0 0 0 3 3 0 3 3 0 0 0 3 3 3 3 0 0 0 0 0 0 0 0 3 3 0 3 3 0 0 0 3 3 3 3 0 0 0 0 0 0 0 0 3 3 0 3 3 0 3 3 3 3 0 0 0 0 3 3 0 3 3 0 3 3 3 3 0 0 0 3 3 3 0 3 3 3 3 3 0 0 0 3 3 3 0 3 3 3 3 3 0 0 0 3 3 3 0 3 3 3 3 3 
+
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+
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+LOOKUP_TABLE default
+2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
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+
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+
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+LOOKUP_TABLE default
+2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
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+
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