{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Mesh Generation in FEniCS #" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have used FEniCS's built-in mesher previously." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from fenics import *\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "mesh = UnitCubeMesh(10, 10, 10)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(mesh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These meshes are symmetric, and hence they are good for studying superconvergence of FEM.\n", "\n", "Unstructured mesh generation is supported in the module `mshr`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from mshr import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate polygonal meshes in 2-D ##\n", "\n", "We can geenrate a mesh from a polygon. \n", "\n", "\n", "\n", "We define a polygon by making a list of its vertices. We need a closed polygon, so the first and the last element in the list is the same point. We represent the points with instances of Point. Point takes `(x,y,z)` as arguments. Since we have a 2D-geometry, we can omit `z`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Create list of polygonal domain vertices\n", "domain_vertices = [Point(0.0, 0.0),\n", " Point(10.0, 0.0),\n", " Point(10.0, 2.0),\n", " Point(8.0, 2.0),\n", " Point(7.5, 1.0),\n", " Point(2.5, 1.0),\n", " Point(2.0, 4.0),\n", " Point(0.0, 4.0),\n", " Point(0.0, 0.0)]\n", "\n", "pg = Polygon(domain_vertices)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Generate mesh and plot\n", "mesh = generate_mesh(pg, 20);\n", "plot(mesh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create CSG 2D-geometry ##\n", "\n", "This example demonstrates use of 2D geometries in FEniCS. The domain looks as follows:\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we create a `Rectangle` defined by two opposite corners:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "r = Rectangle(Point(0.5, 0.5), Point(1.5, 1.5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then create a circle object:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "c = Circle(Point(1, 1), 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The center of the circle is given a point, and the second argument gives the radius. \n", "We may use these geometries to define a new geometry by subtracting one from the other:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "g2d = c - r" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we generate a mesh using `generate_mesh` and plot it." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Generate and plot mesh\n", "mesh2d = generate_mesh(g2d, 10)\n", "plot(mesh2d, title=\"2D mesh\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that when we create a mesh from a CSG geometry, the resolution must be specified.\n", "It is given by an integer as a second argument in `generate_mesh`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create CSG 3D-geometry ##\n", "\n", "This example demonstrates generate of 3-D mesh in FEniCS.\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define 3D geometries. We start with defining a box by sending\n", "the coordinates of two opposite corners as arguments to the class `Box`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "box = Box(Point(0, 0, 0), Point(1, 1, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create a sphere by sending the center and radius to `Sphere`. \n", "The center `(x_0, y_0, z_0)` is represented by an instance of `Point`." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "sphere = Sphere(Point(0, 0, 0), 0.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define a `Cone` by four arguments: the center at one end `Point`,\n", "the center at the other end `Point`, and the radii at these points." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "cone1 = Cone(Point(0., 0., -1.), Point(0., 0., 3.), 1.)\n", "\n", "cone2 = Cone(Point(0., 0., 1.), Point(0., 0., 3.), 0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we have some geometries that we can play with:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "g3d = box + cone1 - cone2 - sphere" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This simple line makes a geometry of the union of the box and the\n", "cone, from which the sphere is subtracted." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we generate a mesh using `generate_mesh` and plot it." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mesh3d = generate_mesh(g3d, 32)\n", "info(mesh3d)\n", "plot(mesh3d, \"3D mesh\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.2" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false } }, "nbformat": 4, "nbformat_minor": 2 }