guyer/FiPyGraftGrid3D.ipynb

## FiPyGraftGrid3D.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "922be785-eef6-4a8f-a2a8-a515e36f37fe",
   "metadata": {},
   "outputs": [],
   "source": [
    "import fipy as fp\n",
    "from fipy.tools import numerix\n",
    "\n",
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f13480b8-bbc2-4b58-913b-e3a276be7dd3",
   "metadata": {},
   "outputs": [],
   "source": [
    "class GraftCell(fp.meshes.mesh.Mesh):\n",
    "    def __init__(self, dx, dy, dz, nx, nz):\n",
    "        (vertexCoords,\n",
    "         faceVertexIDs,\n",
    "         cellFaceIDs) = self._mesh_params(dx, dy, dz, nz, nz)\n",
    "        \n",
    "        super(GraftCell, self).__init__(vertexCoords, faceVertexIDs, cellFaceIDs)\n",
    "    \n",
    "    @staticmethod\n",
    "    def _mesh_params(dx, dy, dz, nx, nz):\n",
    "        vertexCoords = []\n",
    "        for k in range(nz+1):\n",
    "            for i in range(nx+1):\n",
    "                vertexCoords.append([(i / nx) * dx, 0., (k / nz) * dz])\n",
    "        vertexCoords.extend([[0., dy, 0.],\n",
    "                             [dx, dy, 0.],\n",
    "                             [0., dy, dz],\n",
    "                             [dx, dy, dz]])\n",
    "\n",
    "        # collect all faces on subdivided XZ front face\n",
    "        faceVertexIDs = []\n",
    "        for k in range(nz):\n",
    "            for i in range(nx):\n",
    "                faceVertexIDs.append([i + k * (nx + 1),\n",
    "                                      i + 1 + k * (nx + 1),\n",
    "                                      i + 1 + (k + 1) * (nx + 1),\n",
    "                                      i + (k + 1) * (nx + 1)])\n",
    "\n",
    "        nnxz = (nx + 1) * (nz + 1)\n",
    "        \n",
    "        # note: face normals are calculated with cross-product\n",
    "        # of first two edges, so they can't be colinear.\n",
    "        # Thus, start with vertices away from subdivided edge.\n",
    "        \n",
    "        # XY bottom face\n",
    "        tmp = [nnxz + 1, nnxz]\n",
    "        for i in range(nx+1):\n",
    "            tmp.append(i)\n",
    "        faceVertexIDs.append(tmp)\n",
    "\n",
    "        # YZ right face\n",
    "        tmp = [nnxz + 3, nnxz + 1]\n",
    "        for k in range(nz+1):\n",
    "            tmp.append((k + 1) * nx + k)\n",
    "        faceVertexIDs.append(tmp)\n",
    "        \n",
    "        # XY top face\n",
    "        tmp = [nnxz + 3, nnxz + 2]\n",
    "        for i in range(nx+1):\n",
    "            tmp.append(i + nz * (nx + 1))\n",
    "        faceVertexIDs.append(tmp)\n",
    "        \n",
    "        # YZ left face\n",
    "        tmp = [nnxz + 2, nnxz]\n",
    "        for k in range(nz+1):\n",
    "            tmp.append(k * (nx + 1))\n",
    "        faceVertexIDs.append(tmp)\n",
    "\n",
    "        # XZ back face\n",
    "        faceVertexIDs.append([nnxz, nnxz + 1, nnxz + 3, nnxz + 2])\n",
    "        \n",
    "        # pad with -1\n",
    "        max_len = max([len(f) for f in faceVertexIDs])\n",
    "        faceVertexIDs = [f + [-1] * (max_len - len(f)) for f in faceVertexIDs]\n",
    "\n",
    "        cellFaceIDs = numerix.arange(len(faceVertexIDs))[..., numerix.newaxis]\n",
    "        \n",
    "        return (numerix.array(vertexCoords).T, \n",
    "                numerix.MA.masked_values(faceVertexIDs, -1).T,\n",
    "                cellFaceIDs)\n",
    "    \n",
    "def GraftGrid3D(nx, nz, dx, dy, dz, xfactor, zfactor):\n",
    "    \"\"\"Return 3D mesh to graft between grids of different resolutions along y-axis\n",
    "    \"\"\"\n",
    "    assert isinstance(xfactor, int), \"Refinement must be by whole factors\"\n",
    "    assert isinstance(zfactor, int), \"Refinement must be by whole factors\"\n",
    "        \n",
    "    cell = GraftCell(dx, dy, dz, xfactor, zfactor)\n",
    "    \n",
    "    mesh = 0\n",
    "    for k in range(nz):\n",
    "        for i in range(nx):\n",
    "            mesh += (cell + [[i * dx], [0.], [k * dz]])\n",
    "\n",
    "    return mesh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "12229c05-e121-4b9e-8287-02a0f10dbc06",
   "metadata": {},
   "outputs": [],
   "source": [
    "cell_var = fp.CellVariable(mesh=cell, name=\"cell\")\n",
    "face_var = fp.FaceVariable(mesh=cell, name=\"face\", value=range(9))\n",
    "fp.Viewer(vars=(cell_var, face_var))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "a74706a2-f821-4848-9f56-28de59ad2ae2",
   "metadata": {},
   "outputs": [],
   "source": [
    "mesh1 = fp.Grid3D(nx=10, ny=4, nz=10, dx=0.01, dy=0.01, dz=0.01)\n",
    "graft = GraftGrid3D(nx=5, nz=5, dx=0.02, dy=0.02, dz=0.02, xfactor=2, zfactor=2) + [[0.], [0.04], [0.]]\n",
    "mesh2 = fp.Grid3D(nx=5, ny=7, nz=5, dx=0.02, dy=0.02, dz=0.02) + [[0.], [0.06], [0.]]\n",
    "\n",
    "mesh = mesh1 + graft + mesh2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "9fe876ad-86e6-4346-84c2-1434ebb069cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<fipy.viewers.mayaviViewer.mayaviClient.MayaviClient at 0x16a9cafd0>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "qt.qpa.window: <QNSWindow: 0x17a292ba0; contentView=<QNSView: 0x17a292790; QCocoaWindow(0x600003298630, window=QWidgetWindow(0x600002111ce0, name=\"TVTK Scene 1Window\"))>> has active key-value observers (KVO)! These will stop working now that the window is recreated, and will result in exceptions when the observers are removed. Break in QCocoaWindow::recreateWindowIfNeeded to debug.\n"
     ]
    }
   ],
   "source": [
    "var = fp.CellVariable(mesh=mesh, name=\"cell\", value=mesh.x * mesh.y * mesh.z)\n",
    "fp.Viewer(vars=var)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "7668b2d6-d8f4-4d93-a0e6-cf71ec505540",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename=\"graft_grid.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5c97309c-1b84-4636-b761-75d05bb65d16",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}