{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 4: Burgers' equation\n", "\n", "Now that we have seen how to construct the non-linear convection and diffusion examples, we can combine them to form Burgers' equations. We again create a set of coupled equations which are actually starting to form quite complicated stencil expressions, even if we are only using a low-order discretisations.\n", "\n", "Let's start with the definition fo the governing equations:\n", "$$ \\frac{\\partial u}{\\partial t} + u \\frac{\\partial u}{\\partial x} + v \\frac{\\partial u}{\\partial y} = \\nu \\; \\left(\\frac{\\partial ^2 u}{\\partial x^2} + \\frac{\\partial ^2 u}{\\partial y^2}\\right)$$\n", " \n", "$$ \\frac{\\partial v}{\\partial t} + u \\frac{\\partial v}{\\partial x} + v \\frac{\\partial v}{\\partial y} = \\nu \\; \\left(\\frac{\\partial ^2 v}{\\partial x^2} + \\frac{\\partial ^2 v}{\\partial y^2}\\right)$$\n", "\n", "The discretized and rearranged form then looks like this:\n", "\n", "\\begin{aligned}\n", "u_{i,j}^{n+1} &= u_{i,j}^n - \\frac{\\Delta t}{\\Delta x} u_{i,j}^n (u_{i,j}^n - u_{i-1,j}^n) - \\frac{\\Delta t}{\\Delta y} v_{i,j}^n (u_{i,j}^n - u_{i,j-1}^n) \\\\\n", "&+ \\frac{\\nu \\Delta t}{\\Delta x^2}(u_{i+1,j}^n-2u_{i,j}^n+u_{i-1,j}^n) + \\frac{\\nu \\Delta t}{\\Delta y^2} (u_{i,j+1}^n - 2u_{i,j}^n + u_{i,j+1}^n)\n", "\\end{aligned}\n", "\n", "\\begin{aligned}\n", "v_{i,j}^{n+1} &= v_{i,j}^n - \\frac{\\Delta t}{\\Delta x} u_{i,j}^n (v_{i,j}^n - v_{i-1,j}^n) - \\frac{\\Delta t}{\\Delta y} v_{i,j}^n (v_{i,j}^n - v_{i,j-1}^n) \\\\\n", "&+ \\frac{\\nu \\Delta t}{\\Delta x^2}(v_{i+1,j}^n-2v_{i,j}^n+v_{i-1,j}^n) + \\frac{\\nu \\Delta t}{\\Delta y^2} (v_{i,j+1}^n - 2v_{i,j}^n + v_{i,j+1}^n)\n", "\\end{aligned}\n", "\n", "Great. Now before we look at the Devito implementation, let's re-create the NumPy-based implementation form the original." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from examples.cfd import plot_field, init_hat\n", "import numpy as np\n", "%matplotlib inline\n", "\n", "# Some variable declarations\n", "nx = 41\n", "ny = 41\n", "nt = 120\n", "c = 1\n", "dx = 2. / (nx - 1)\n", "dy = 2. / (ny - 1)\n", "sigma = .0009\n", "nu = 0.01\n", "dt = sigma * dx * dy / nu" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# Assign initial conditions\n", "u = np.empty((nx, ny))\n", "v = np.empty((nx, ny))\n", "\n", "init_hat(field=u, dx=dx, dy=dy, value=2.)\n", "init_hat(field=v, dx=dx, dy=dy, value=2.)\n", "\n", "plot_field(u)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "for n in range(nt + 1): ##loop across number of time steps\n", " un = u.copy()\n", " vn = v.copy()\n", "\n", " u[1:-1, 1:-1] = (un[1:-1, 1:-1] -\n", " dt / dx * un[1:-1, 1:-1] * \n", " (un[1:-1, 1:-1] - un[1:-1, 0:-2]) - \n", " dt / dy * vn[1:-1, 1:-1] * \n", " (un[1:-1, 1:-1] - un[0:-2, 1:-1]) + \n", " nu * dt / dx**2 * \n", " (un[1:-1,2:] - 2 * un[1:-1, 1:-1] + un[1:-1, 0:-2]) + \n", " nu * dt / dy**2 * \n", " (un[2:, 1:-1] - 2 * un[1:-1, 1:-1] + un[0:-2, 1:-1]))\n", " \n", " v[1:-1, 1:-1] = (vn[1:-1, 1:-1] - \n", " dt / dx * un[1:-1, 1:-1] *\n", " (vn[1:-1, 1:-1] - vn[1:-1, 0:-2]) -\n", " dt / dy * vn[1:-1, 1:-1] * \n", " (vn[1:-1, 1:-1] - vn[0:-2, 1:-1]) + \n", " nu * dt / dx**2 * \n", " (vn[1:-1, 2:] - 2 * vn[1:-1, 1:-1] + vn[1:-1, 0:-2]) +\n", " nu * dt / dy**2 *\n", " (vn[2:, 1:-1] - 2 * vn[1:-1, 1:-1] + vn[0:-2, 1:-1]))\n", " \n", " u[0, :] = 1\n", " u[-1, :] = 1\n", " u[:, 0] = 1\n", " u[:, -1] = 1\n", " \n", " v[0, :] = 1\n", " v[-1, :] = 1\n", " v[:, 0] = 1\n", " v[:, -1] = 1\n", " \n", "plot_field(u)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nice, our wave looks just like the original. Now we shall attempt to write our entire Burgers' equation operator in a single cell - but before we can demonstrate this, there is one slight problem.\n", "\n", "The diffusion term in our equation requires a second-order space discretisation on our velocity fields, which we set through the `TimeFunction` constructor for $u$ and $v$. The `TimeFunction` objects will store this dicretisation information and use it as default whenever we use the shorthand notations for derivative, like `u.dxl` or `u.dyl`. For the advection term, however, we want to use a first-order discretisation, which we now have to create by hand when combining terms with different stencil discretisations. To illustrate let's consider the following example: " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Space order 1:\n", "u1(t, x, y)/h_x - u1(t, x - h_x, y)/h_x\n", "\n", "Space order 2:\n", "3*u2(t, x, y)/(2*h_x) + u2(t, x - 2*h_x, y)/(2*h_x) - 2*u2(t, x - h_x, y)/h_x\n", "\n", "Explicit space order 1:\n", "u2(t, x, y)/h_x - u2(t, x - h_x, y)/h_x\n", "\n" ] } ], "source": [ "from devito import Grid, TimeFunction, first_derivative, left\n", "\n", "grid = Grid(shape=(nx, ny), extent=(2., 2.))\n", "x, y = grid.dimensions\n", "t = grid.stepping_dim\n", "\n", "u1 = TimeFunction(name='u1', grid=grid, space_order=1)\n", "print(\"Space order 1:\\n%s\\n\" % u1.dxl)\n", "\n", "u2 = TimeFunction(name='u2', grid=grid, space_order=2)\n", "print(\"Space order 2:\\n%s\\n\" % u2.dxl)\n", "\n", "# We use u2 to create the explicit first-order derivative\n", "u1_dx = first_derivative(u2, dim=x, side=left, order=1)\n", "print(\"Explicit space order 1:\\n%s\\n\" % u1_dx)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, so by constructing derivative terms explicitly we again have full control of the spatial discretisation - the power of symbolic computation. Armed with that trick, we can now build and execute our advection-diffusion operator from scratch in one cell." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "CustomCompiler: compiled /var/folders/qr/4hc1nw7d3hj55jbd1z7kkrvh0000gn/T/devito-0u0cm9tg/9beba14a9cc90a026c15251528633e01066ebb49.c [0.45 s]\n", "=========================================================================================\n", "Section section_1<121,41> with OI=0.00 computed in 0.000 s [0.00 GFlops/s]\n", "Section section_2<121,41> with OI=0.00 computed in 0.000 s [0.00 GFlops/s]\n", "Section main<121,41,41> with OI=4.25 computed in 0.003 s [5.36 GFlops/s, 0.08 GPts/s]\n", "=========================================================================================\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "from sympy import solve\n", "from devito import Operator, Constant, Eq, INTERIOR\n", "\n", "# Define our velocity fields and initialise with hat function\n", "u = TimeFunction(name='u', grid=grid, space_order=2)\n", "v = TimeFunction(name='v', grid=grid, space_order=2)\n", "init_hat(field=u.data[0], dx=dx, dy=dy, value=2.)\n", "init_hat(field=v.data[0], dx=dx, dy=dy, value=2.)\n", "\n", "# Write down the equations with explicit backward differences\n", "a = Constant(name='a')\n", "u_dx = first_derivative(u, dim=x, side=left, order=1)\n", "u_dy = first_derivative(u, dim=y, side=left, order=1)\n", "v_dx = first_derivative(v, dim=x, side=left, order=1)\n", "v_dy = first_derivative(v, dim=y, side=left, order=1)\n", "eq_u = Eq(u.dt + u*u_dx + v*u_dy, a*u.laplace, region=INTERIOR)\n", "eq_v = Eq(v.dt + u*v_dx + v*v_dy, a*v.laplace, region=INTERIOR)\n", "\n", "# Let SymPy rearrange our stencils to form the update expressions\n", "stencil_u = solve(eq_u, u.forward)[0]\n", "stencil_v = solve(eq_v, v.forward)[0]\n", "update_u = Eq(u.forward, stencil_u)\n", "update_v = Eq(v.forward, stencil_v)\n", "\n", "# Create Dirichlet BC expressions using the low-level API\n", "bc_u = [Eq(u.indexed[t+1, 0, y], 1.)] # left\n", "bc_u += [Eq(u.indexed[t+1, nx-1, y], 1.)] # right\n", "bc_u += [Eq(u.indexed[t+1, x, ny-1], 1.)] # top\n", "bc_u += [Eq(u.indexed[t+1, x, 0], 1.)] # bottom\n", "bc_v = [Eq(v.indexed[t+1, 0, y], 1.)] # left\n", "bc_v += [Eq(v.indexed[t+1, nx-1, y], 1.)] # right\n", "bc_v += [Eq(v.indexed[t+1, x, ny-1], 1.)] # top\n", "bc_v += [Eq(v.indexed[t+1, x, 0], 1.)] # bottom\n", "\n", "# Create the operator\n", "op = Operator([update_u, update_v] + bc_u + bc_v)\n", "\n", "# Execute the operator for a number of timesteps\n", "op(time=nt, dt=dt, a=nu)\n", "\n", "plot_field(u.data[0])" ] } ], "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": "3.6.4" }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 1 }