{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 2: Nonlinear convection in 2D\n", "\n", "Following the initial convection tutorial with a single state variable $u$, we will now look at non-linear convection (step 6 in the original). This brings one new crucial challenge: computing a pair of coupled equations and thus updating two time-dependent variables $u$ and $v$.\n", "\n", "The full set of coupled equations is now\n", "\n", "\\begin{aligned}\n", "\\frac{\\partial u}{\\partial t} + u \\frac{\\partial u}{\\partial x} + v \\frac{\\partial u}{\\partial y} = 0 \\\\\n", "\\\\\n", "\\frac{\\partial v}{\\partial t} + u \\frac{\\partial v}{\\partial x} + v \\frac{\\partial v}{\\partial y} = 0\\\\\n", "\\end{aligned}\n", "\n", "and rearranging the discretized version gives us an expression for the update of both variables\n", "\n", "\\begin{aligned}\n", "u_{i,j}^{n+1} &= u_{i,j}^n - u_{i,j}^n \\frac{\\Delta t}{\\Delta x} (u_{i,j}^n-u_{i-1,j}^n) - v_{i,j}^n \\frac{\\Delta t}{\\Delta y} (u_{i,j}^n-u_{i,j-1}^n) \\\\\n", "\\\\\n", "v_{i,j}^{n+1} &= v_{i,j}^n - u_{i,j}^n \\frac{\\Delta t}{\\Delta x} (v_{i,j}^n-v_{i-1,j}^n) - v_{i,j}^n \\frac{\\Delta t}{\\Delta y} (v_{i,j}^n-v_{i,j-1}^n)\n", "\\end{aligned}\n", "\n", "So, for starters we will re-create the original example run in pure NumPy array notation, before demonstrating \n", "the Devito version. Let's start again with some utilities and parameters:" ] }, { "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 = 101\n", "ny = 101\n", "nt = 80\n", "c = 1.\n", "dx = 2. / (nx - 1)\n", "dy = 2. / (ny - 1)\n", "sigma = .2\n", "dt = sigma * dx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's re-create the initial setup with a 2D \"hat function\", but this time for two state variables." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "\n", "# Allocate fields and 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": "markdown", "metadata": {}, "source": [ "Now we can create the two stencil expression for our two coupled equations according to the discretized equation above. We again use some simple Dirichlet boundary conditions to keep the values on all sides constant." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "for _ in range(nt + 1): # loop across number of time steps\n", " un = u.copy()\n", " vn = v.copy()\n", " u[1:, 1:] = (un[1:, 1:] -\n", " (un[1:, 1:] * c * dt / dy * (un[1:, 1:] - un[1:, :-1])) -\n", " vn[1:, 1:] * c * dt / dx * (un[1:, 1:] - un[:-1, 1:]))\n", " v[1:, 1:] = (vn[1:, 1:] -\n", " (un[1:, 1:] * c * dt / dy * (vn[1:, 1:] - vn[1:, :-1])) -\n", " vn[1:, 1:] * c * dt / dx * (vn[1:, 1:] - vn[:-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": [ "Excellent, we again get a wave that resembles the one from the original examples.\n", "\n", "Now we can set up our coupled problem in Devito. Let's start by creating two initial state variables $u$ and $v$, as before, and initialising them with our \"hat function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "from devito import Grid, TimeFunction\n", "\n", "# First we need two time-dependent data fields, both initialized with the hat function\n", "grid = Grid(shape=(nx, ny), extent=(2., 2.))\n", "u = TimeFunction(name='u', grid=grid)\n", "init_hat(field=u.data[0], dx=dx, dy=dy, value=2.)\n", "\n", "v = TimeFunction(name='v', grid=grid)\n", "init_hat(field=v.data[0], dx=dx, dy=dy, value=2.)\n", "\n", "plot_field(u.data[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the two `TimeFunction` objects we can again derive our discretized equation, rearrange for the forward stencil point in time and define our variable update expression - only we have to do everything twice now! We again use forward differences for time via `u.dt` and backward differences in space via `u.dxl` and `u.dyl` to match the original tutorial." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "U update:\n", "Eq(u(t + dt, x, y), dt*(-u(t, x, y)*Derivative(u(t, x, y), x) - v(t, x, y)*Derivative(u(t, x, y), y) + u(t, x, y)/dt))\n", "\n", "V update:\n", "Eq(v(t + dt, x, y), dt*(-u(t, x, y)*Derivative(v(t, x, y), x) - v(t, x, y)*Derivative(v(t, x, y), y) + v(t, x, y)/dt))\n", "\n" ] } ], "source": [ "from devito import Eq, solve\n", "\n", "eq_u = Eq(u.dt + u*u.dxl + v*u.dyl)\n", "eq_v = Eq(v.dt + u*v.dxl + v*v.dyl)\n", "\n", "# We can use the same SymPy trick to generate two\n", "# stencil expressions, one for each field update.\n", "stencil_u = solve(eq_u, u.forward)\n", "stencil_v = solve(eq_v, v.forward)\n", "update_u = Eq(u.forward, stencil_u, subdomain=grid.interior)\n", "update_v = Eq(v.forward, stencil_v, subdomain=grid.interior)\n", "\n", "print(f\"U update:\\n{update_u}\\n\")\n", "print(f\"V update:\\n{update_v}\\n\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then set Dirichlet boundary conditions at all sides of the domain to $1$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "x, y = grid.dimensions\n", "t = grid.stepping_dim\n", "bc_u = [Eq(u[t+1, 0, y], 1.)] # left\n", "bc_u += [Eq(u[t+1, nx-1, y], 1.)] # right\n", "bc_u += [Eq(u[t+1, x, ny-1], 1.)] # top\n", "bc_u += [Eq(u[t+1, x, 0], 1.)] # bottom\n", "bc_v = [Eq(v[t+1, 0, y], 1.)] # left\n", "bc_v += [Eq(v[t+1, nx-1, y], 1.)] # right\n", "bc_v += [Eq(v[t+1, x, ny-1], 1.)] # top\n", "bc_v += [Eq(v[t+1, x, 0], 1.)] # bottom" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And finally we can put it all together to build an operator and solve our coupled problem." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Operator `Kernel` ran in 0.01 s\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "from devito import Operator\n", "\n", "# Reset our data field and ICs\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", "op = Operator([update_u, update_v] + bc_u + bc_v)\n", "op(time=nt, dt=dt)\n", "\n", "plot_field(u.data[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Excellent, we have now a scalar implementation of a convection problem, but this can be written as a single vectorial equation:\n", "\n", "$\\frac{d U}{dt} + \\nabla(U)U = 0$\n", "\n", "Let's now use devito vectorial utilities and implement the vectorial equation" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from devito import VectorTimeFunction, grad\n", "\n", "U = VectorTimeFunction(name='U', grid=grid)\n", "init_hat(field=U[0].data[0], dx=dx, dy=dy, value=2.)\n", "init_hat(field=U[1].data[0], dx=dx, dy=dy, value=2.)\n", "\n", "plot_field(U[1].data[0])\n", "\n", "eq_u = Eq(U.dt + grad(U)*U)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have a vectorial equation. Unlike in the previous case, we do not need to play with left/right derivatives\n", "as the automated staggering of the vectorial function takes care of this." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}U_x(t, x + h_x/2, y) \\frac{\\partial}{\\partial x} U_x(t, x + h_x/2, y) + U_y(t, x, y + h_y/2) \\frac{\\partial}{\\partial y} U_x(t, x + h_x/2, y) + \\frac{\\partial}{\\partial t} U_x(t, x + h_x/2, y)\\\\U_x(t, x + h_x/2, y) \\frac{\\partial}{\\partial x} U_y(t, x, y + h_y/2) + U_y(t, x, y + h_y/2) \\frac{\\partial}{\\partial y} U_y(t, x, y + h_y/2) + \\frac{\\partial}{\\partial t} U_y(t, x, y + h_y/2)\\end{matrix}\\right] = 0$" ], "text/plain": [ "Eq(Vector(U_x(t, x + h_x/2, y)*Derivative(U_x(t, x + h_x/2, y), x) + U_y(t, x, y + h_y/2)*Derivative(U_x(t, x + h_x/2, y), y) + Derivative(U_x(t, x + h_x/2, y), t), U_x(t, x + h_x/2, y)*Derivative(U_y(t, x, y + h_y/2), x) + U_y(t, x, y + h_y/2)*Derivative(U_y(t, x, y + h_y/2), y) + Derivative(U_y(t, x, y + h_y/2), t)), 0)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eq_u" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we set the nboundary conditions" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "x, y = grid.dimensions\n", "t = grid.stepping_dim\n", "bc_u = [Eq(U[0][t+1, 0, y], 1.)] # left\n", "bc_u += [Eq(U[0][t+1, nx-1, y], 1.)] # right\n", "bc_u += [Eq(U[0][t+1, x, ny-1], 1.)] # top\n", "bc_u += [Eq(U[0][t+1, x, 0], 1.)] # bottom\n", "bc_v = [Eq(U[1][t+1, 0, y], 1.)] # left\n", "bc_v += [Eq(U[1][t+1, nx-1, y], 1.)] # right\n", "bc_v += [Eq(U[1][t+1, x, ny-1], 1.)] # top\n", "bc_v += [Eq(U[1][t+1, x, 0], 1.)] # bottom" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# We can use the same SymPy trick to generate two\n", "# stencil expressions, one for each field update.\n", "stencil_U = solve(eq_u, U.forward)\n", "update_U = Eq(U.forward, stencil_U, subdomain=grid.interior)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we have the updated (stencil) as a vectorial equation once again" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}U_x(t + dt, x + h_x/2, y)\\\\U_y(t + dt, x, y + h_y/2)\\end{matrix}\\right] = \\left[\\begin{matrix}dt \\left(- U_x(t, x + h_x/2, y) \\frac{\\partial}{\\partial x} U_x(t, x + h_x/2, y) - U_y(t, x, y + h_y/2) \\frac{\\partial}{\\partial y} U_x(t, x + h_x/2, y) + \\frac{U_x(t, x + h_x/2, y)}{dt}\\right)\\\\dt \\left(- U_x(t, x + h_x/2, y) \\frac{\\partial}{\\partial x} U_y(t, x, y + h_y/2) - U_y(t, x, y + h_y/2) \\frac{\\partial}{\\partial y} U_y(t, x, y + h_y/2) + \\frac{U_y(t, x, y + h_y/2)}{dt}\\right)\\end{matrix}\\right]$" ], "text/plain": [ "Eq(Vector(U_x(t + dt, x + h_x/2, y), U_y(t + dt, x, y + h_y/2)), Vector(dt*(-U_x(t, x + h_x/2, y)*Derivative(U_x(t, x + h_x/2, y), x) - U_y(t, x, y + h_y/2)*Derivative(U_x(t, x + h_x/2, y), y) + U_x(t, x + h_x/2, y)/dt), dt*(-U_x(t, x + h_x/2, y)*Derivative(U_y(t, x, y + h_y/2), x) - U_y(t, x, y + h_y/2)*Derivative(U_y(t, x, y + h_y/2), y) + U_y(t, x, y + h_y/2)/dt)))" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "update_U" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We finally run the operator" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Operator `Kernel` ran in 0.01 s\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "op = Operator([update_U] + bc_u + bc_v)\n", "op(time=nt, dt=dt)\n", "\n", "# The result is indeed the expected one.\n", "plot_field(U[0].data[0])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "from devito import norm\n", "assert np.isclose(norm(u), norm(U[0]), rtol=1e-2, atol=0)" ] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "hide_input": false, "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": "3.10.12" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "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": 4 }