{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Devito CFD Tutorial series\n", "\n", "The following series of notebook tutorials will demonstrate the use of Devito and it's SymPy-based API to solve a set of classic examples from Computational Fluid Dynamics (CFD). The tutorials are based on the excellent tutorial series _CFD Python: 12 steps to Navier-Stokes_ by Lorena Barba and focus on the implementation with Devito rather than pure CFD or finite difference theory. For a refresher on how to implement 2D finite difference solvers for CFD problems, please see the original tutorial series here:
\n", "http://lorenabarba.com/blog/cfd-python-12-steps-to-navier-stokes/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 1: Linear convection in 2D\n", "\n", "Lets start with a simple 2D convection example - step 5 in the original blog. This will already allow us to demonstrate a lot about the use of Devito's symbolic data objects and how to use them to build a simple operator directly from the symbolic notation of the equation. The governing equation we will implement in this tutorial is:\n", "\n", "$$\\frac{\\partial u}{\\partial t}+c\\frac{\\partial u}{\\partial x} + c\\frac{\\partial u}{\\partial y} = 0$$\n", "\n", "In order to implement this equation we first discretize it using forward differences in time and backward differences in space. Just as the original tutorial, we will use $u_{i,j}^n$ to denote a finite difference stencil point with $i$ and $j$ denoting spatial indices and $n$ denoting the time index. So, after re-arragning the discretized equation for the forward stencil point in time we get \n", "\n", "$$u_{i,j}^{n+1} = u_{i,j}^n-c \\frac{\\Delta t}{\\Delta x}(u_{i,j}^n-u_{i-1,j}^n)-c \\frac{\\Delta t}{\\Delta y}(u_{i,j}^n-u_{i,j-1}^n)$$\n", "\n", "Using this, we can start deriving the computational stencil for this equation. Let's first look at the original _pure Python_ implementation of the linear convection flow - but first we import our tools and define some parameters:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "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 = 81\n", "ny = 81\n", "nt = 100\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": [ "**A small note on style:** Throughout this tutorial series we will use utility functions to plot the various 2D functions and data sets we deal with. These are all taken from the original tutorial series, but have been slightly modified for our purposes. One of the differences readers might find is that the original series uses _(y, x)_ indexing for 2d data arrays, whereas many of the examples have been adapted to use _(x, y)_ notation in our tutorials.\n", "\n", "So, let's start by creating a simple 2D function and initialising it with a \"hat function\". We will use that initialisation function a lot, so it comes from our utility scripts:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnsAAAGRCAYAAAAdA3XuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create field and assign initial conditions\n", "u = np.empty((nx, ny))\n", "init_hat(field=u, dx=dx, dy=dy, value=2.)\n", "\n", "# Plot initial condition\n", "plot_field(u)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can repeat the _pure NumPy_ solve from the original tutorial, where we use NumPy array operations to speed up the computation. Note that we skip the derivation of the stencil used to implement our convection equation, as we are going to walk though this process using the Devito API later in this tutorial." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnsAAAGRCAYAAAAdA3XuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Repeat initialisation, so we can re-run the cell\n", "init_hat(field=u, dx=dx, dy=dy, value=2.)\n", "\n", "for n in range(nt + 1):\n", " # Copy previous result into a new buffer\n", " un = u.copy()\n", " \n", " # Update the new result with a 3-point stencil\n", " u[1:, 1:] = (un[1:, 1:] - (c * dt / dx * (un[1:, 1:] - un[1:, :-1])) -\n", " (c * dt / dy * (un[1:, 1:] - un[:-1, 1:])))\n", "\n", " # Apply boundary conditions\n", " u[0, :] = 1.\n", " u[-1, :] = 1.\n", " u[:, 0] = 1.\n", " u[:, -1] = 1.\n", "\n", "plot_field(u)\n", "\n", "# A small sanity check for auto-testing\n", "assert (u[45:55, 45:55] > 1.8).all()\n", "u_ref = u.copy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hooray, the wave moved! Now, this little example is already very concise from a notational point of view and it teaches us quite a few key points about how to perform finite difference stencil computation via NumPy:\n", "* Due to the backward differencing scheme in space (more later) we use only three stencil point in this example: $u^{n}_{i, j}$, $u^{n}_{i-1, j}$ and $u^{n}_{i, j-1}$. These can be identified in the code through the array indices and correspond to `un[1:, 1:]`, `un[:-1, 1:]` and `un[1:, :-1]` respectively. \n", "* Two buffers for array data are used throughout: `un[...]` is read from, while `u[...]` is updated, where the line `un = u.copy()` performs a deep copy of the field to switch buffers between timesteps. Note that in some other finite difference tutorials the cost of this copy operation is sometimes amortised by using two pre-allocated buffers and switching the indices of them explicitly. \n", "* The final four lines within the loop code show us how to implmement simple Dirichlet boundary condition by simply setting a value on the outermost rows and columns of our cartesian grid.\n", "\n", "You may have noticed that the hat has not only moved to a different location, but has also changed its shape into a smooth bump. This is a little surprising, as the correct solution of the convection equation would be movement without shape change. The smooth shape is caused by numerical diffusion, a well-known limitation of low-order finite difference schemes. We will discuss this issue and some solutions later in this tutorial." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Devito implementation\n", "Now we want to re-create the above example via a Devito operator. To do this, we can start by defining our function `u` as a symbolic function object of type `devito.TimeData`. The core thing to note here is that this is one of Devito's symbolic data objects, which have a dual role in the creation of finite difference solvers:\n", "* They behave symbolically like `sympy.Function` objects, so that we can construct derivatives and use them in symbolic expressions, thus inheriting all the power of automated symbolic manipulation that SymPy provides.\n", "* They act as containers for user data by providing a `.data` property that wraps automatically allocated memory space in a neat NumPy array.\n", "\n", "The particular `TimeData` type that we will declare our variable $u$ as in this case is aware of the fact that we will want to implement a timestepping algorithm with it. So the object `u` will declare two buffers of shape `(nx, ny)` for us and present them as `u.data[0]` and `u.data[1]`. Let's fill the initial buffer with some data and look at it:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnsAAAGRCAYAAAAdA3XuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from devito import TimeData\n", "\n", "u = TimeData(name='u', shape=(nx, ny))\n", "init_hat(field=u.data[0], dx=dx, dy=dy, value=2.)\n", "\n", "plot_field(u.data[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nice. Now we can look at deriving our 3-point stencil using the symbolic capabilities given to our function $u$ by SymPy. For this we will first construct our derivative terms in space and time. For the forward derivative in time we can easily use Devito's shorthand notation `u.dt` to denote the first derivative in time and `u.dxl` and `u.dyl` to denote the space derivatives. Note that the `l` means were using the \"left\" or backward difference here to adhere to the discretization used in the original tutorials.\n", "\n", "From the resulting terms we can then create a `sympy.Equation` object that contains the fully discretised equation, but from a neat high-level notation, as shown below." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Eq(-u(t, x, y)/s + u(t + s, x, y)/s + 2.0*u(t, x, y)/h - 1.0*u(t, x, y - h)/h - 1.0*u(t, x - h, y)/h, 0)\n" ] } ], "source": [ "from sympy import Eq\n", "\n", "eq = Eq(u.dt + c*u.dxl + c*u.dyl)\n", "\n", "print(eq)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above step resulted in a fully discretised version of our equation, which includes place-holder symbols for the spacing in time (`s`) and space (`h`). These symbols are based on an internal convention and will later be replaced when we build an operator.\n", "\n", "But before we can build an operator, we first need to change our discretised expression so that we are updating the forward stencil point in our timestepping scheme - Devito provides another short-hand notation for this: `u.forward`. For the actual symoblic reordering, SymPy comes to the rescue with the `solve` utility that we can use to re-organise our equation." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(h*u(t, x, y) - 2.0*s*u(t, x, y) + s*u(t, x, y - h) + s*u(t, x - h, y))/h\n" ] } ], "source": [ "from sympy import solve\n", "\n", "stencil = solve(eq, u.forward)[0]\n", "\n", "print(stencil)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The careful reader will note that this is now the equivalent symbolic expression to the RHS term of the NumPy code we showed earlier - only with `dx` and `dy` denoted as `h` and `dt` denoted as `s`, while `u(t, x, y)`, `u(t, x - h, y)` and `u(t, x, y - h)` denote the equivalent of $u^{n}_{i, j}$, $u^{n}_{i-1, j}$ and $u^{n}_{i, j-1}$ respectively. \n", "\n", "We can now use this stencil expression to create an operator to apply to our data object:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DSE: extract_time_invariants [flops: 5, elapsed: 0.00] >>\n", " eliminate_inter_stencil_redundancies [flops: 5, elapsed: 0.00] >>\n", " eliminate_intra_stencil_redundancies [flops: 5, elapsed: 0.00] >>\n", " factorize [flops: 4, elapsed: 0.01] >>\n", " finalize [flops: 4, elapsed: 0.00]\n", " [Total elapsed: 0.01 s]\n", "DLE:Devito:DSE: extract_time_invariants [flops: 5, elapsed: 0.00] >>\n", " eliminate_inter_stencil_redundancies [flops: 5, elapsed: 0.00] >>\n", " eliminate_intra_stencil_redundancies [flops: 5, elapsed: 0.00] >>\n", " factorize [flops: 4, elapsed: 0.01] >>\n", " finalize [flops: 4, elapsed: 0.00]\n", " [Total elapsed: 0.01 s]\n", "DLE: analyze [elapsed: 0.02] >>\n", " avoid_denormals [elapsed: 0.00] >>\n", " loop_fission [elapsed: 0.00] >>\n", " create_elemental_functions [elapsed: 0.00] >>\n", " loop_blocking [elapsed: 0.05] >>\n", " simdize [elapsed: 0.03]\n", " [Total elapsed: 0.10 s]\n", "DLE:Devito:DLE: analyze [elapsed: 0.02] >>\n", " avoid_denormals [elapsed: 0.00] >>\n", " loop_fission [elapsed: 0.00] >>\n", " create_elemental_functions [elapsed: 0.00] >>\n", " loop_blocking [elapsed: 0.05] >>\n", " simdize [elapsed: 0.03]\n", " [Total elapsed: 0.10 s]\n", "CustomCompiler: compiled /tmp/devito-1000/6aaf870464b3b177e4afd85a712be00325a70519.c [0.44 s]\n", "INFO:Devito:CustomCompiler: compiled /tmp/devito-1000/6aaf870464b3b177e4afd85a712be00325a70519.c [0.44 s]\n", "=========================================================================================\n", "INFO:Devito:=========================================================================================\n", "Section main<101,80,80> with OI=0.49 computed in 0.000 s [Perf: 9.91 GFlops/s]\n", "INFO:Devito:Section main<101,80,80> with OI=0.49 computed in 0.000 s [Perf: 9.91 GFlops/s]\n", "=========================================================================================\n", "INFO:Devito:=========================================================================================\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnsAAAGRCAYAAAAdA3XuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sympy.abc import h, s\n", "from devito import Operator, time\n", "\n", "# Reset our initial condition in both buffers.\n", "# This is required to avoid 0s propagating into\n", "# our solution, which has a background value of 1.\n", "init_hat(field=u.data[0], dx=dx, dy=dy, value=2.)\n", "init_hat(field=u.data[1], dx=dx, dy=dy, value=2.)\n", "\n", "# Create an operator that updates the forward stencil point\n", "op = Operator(Eq(u.forward, stencil), subs={h: dx, s:dt})\n", "\n", "# Apply the operator for a number of timesteps\n", "op(time=nt+1)\n", "\n", "plot_field(u.data[0, :, :])\n", "\n", "# Some small sanity checks for the testing framework\n", "assert (u.data[0, 45:55, 45:55] > 1.8).all()\n", "assert np.allclose(u.data[0], u_ref, rtol=3.e-2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Great, that looks to have done the same thing as the original NumPy example, so we seem to be doing something right, at least.\n", "\n", "**A note on performance:** During the code generation phase of the previous operatorm Devito has created some log output with information about two optimisation steps: The DSE (Devito Symbolics Engine) and the DLE (Devito Loop Engine). We can ignore these for now, because our exmaple is tiny - but for large runs where performance matters, these are the engines that make the Devito kernel run very fast in comparison to raw Python/NumPy.\n", "\n", "Now, despite getting a correct looking result, there is still one problem with the above operator: It doesn't set any boundary conditions as part of the time loop. We also note that the operator includes a time loop, but at this point Devito doesn;t actually provide any language constructs to explicitly define different types of boundary conditions (Devito is probably still a kind of prototype at this point). Luckily though, Devito provides a backdoor for us to insert custom expression in the so-called \"indexed\" or \"low-level\" API that allow us to encode the Dirichlet boundary condition of the original example.\n", "\n", "#### The \"indexed\" or low-level API\n", "The `TimeData` field we created earlier behaves symbolically like a `sympy.Function` object with the appropriate indices, eg. `u(t, x, y)`. If we take a simple first-order derivative of that we have a term that includes the spacing variable `h`, which Devito uses as the default for encoding $dx$ or $dy$. For example, `u.dx` simply expands to `-u(t, x, y)/h + u(t, x + h, y)/h`.\n", "\n", "Now, when the `Operator` creates explicit C-code from that expression, it at some point \"lowers\" that expression by resolving explicit data accesses (or indices) into our grid by transforming it into a `sympy.Indexed` object. During this process all occurences of `h` in data accesses get replaced with integers, so that the expression now looks like `-u[t, x, y]/h + u[t, x + 1, y]/h`. This is the \"indexed\" notation and we can create custom expression of the same kind by using the `u.indexed` property with explicit indices in square-bracket notation. These custom expressions can then be injected them into our operator like this:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "CustomCompiler: compiled /tmp/devito-1000/79af1d1041662300b14c729f097a980d80c1827a.c [0.46 s]\n", "INFO:Devito:CustomCompiler: compiled /tmp/devito-1000/79af1d1041662300b14c729f097a980d80c1827a.c [0.46 s]\n", "=========================================================================================\n", "INFO:Devito:=========================================================================================\n", "Section loop_y_1<101,81> with OI=0.00 computed in 0.000 s [Perf: 0.00 GFlops/s]\n", "INFO:Devito:Section loop_y_1<101,81> with OI=0.00 computed in 0.000 s [Perf: 0.00 GFlops/s]\n", "Section loop_x_2<101,81> with OI=0.00 computed in 0.000 s [Perf: 0.00 GFlops/s]\n", "INFO:Devito:Section loop_x_2<101,81> with OI=0.00 computed in 0.000 s [Perf: 0.00 GFlops/s]\n", "Section main<101,80,80> with OI=0.61 computed in 0.001 s [Perf: 3.48 GFlops/s]\n", "INFO:Devito:Section main<101,80,80> with OI=0.61 computed in 0.001 s [Perf: 3.48 GFlops/s]\n", "=========================================================================================\n", "INFO:Devito:=========================================================================================\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnsAAAGRCAYAAAAdA3XuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEEIIIbowCXtCCCGEEF3Y/wfYBiyY+1W4ZwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from devito import t, x, y\n", "\n", "# Reset our data field and ICs in both buffers\n", "init_hat(field=u.data[0], dx=dx, dy=dy, value=2.)\n", "init_hat(field=u.data[1], dx=dx, dy=dy, value=2.)\n", "\n", "# For defining BCs, we want to explicitly set rows/columns in our field\n", "# We can use Devito's \"indexed\" notation to do this:\n", "bc_left = Eq(u.indexed[t + 1, 0, y], 1.)\n", "bc_right = Eq(u.indexed[t + 1, nx-1, y], 1.)\n", "bc_top = Eq(u.indexed[t + 1, x, ny-1], 1.)\n", "bc_bottom = Eq(u.indexed[t + 1, x, 0], 1.)\n", "\n", "# Now combine the BC expressions with the stencil to form operator\n", "expressions = [Eq(u.forward, stencil)]\n", "expressions += [bc_left, bc_right, bc_top, bc_bottom]\n", "op = Operator(expressions=expressions, subs={h: dx, s:dt},\n", " dle=None, dse=None) # <-- Turn off performance optimisations\n", "op(time=nt+1)\n", "\n", "plot_field(u.data[0, :, :])\n", "\n", "# Some small sanity checks for the testing framework\n", "assert (u.data[0, 45:55, 45:55] > 1.8).all()\n", "assert np.allclose(u.data[0], u_ref, rtol=3.e-2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You might have noticed that we used the arguments `dle=None` and `dse=None` in the creation of the previous operator. This suppresses the various performance optimisation steps in the code-generation pipeline, which makes the auto-generated C code much easier to look at. So, for the brave, let's have a little peek under the hood... " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "#define _POSIX_C_SOURCE 200809L\n", "#include \"stdlib.h\"\n", "#include \"math.h\"\n", "#include \"sys/time.h\"\n", "\n", "struct profiler\n", "{\n", " double loop_x_0;\n", " double loop_y_1;\n", " double loop_x_2;\n", "} ;\n", "\n", "\n", "int Kernel(float *restrict u_vec, const int t_size, const int x_size, const int y_size, const int time_size, struct profiler *timings)\n", "{\n", " float (*restrict u)[x_size][y_size] __attribute__((aligned(64))) = (float (*)[x_size][y_size]) u_vec;\n", " for (int time = 0; time < time_size - 1; time += 1)\n", " {\n", " int t0 = (time) % 2;\n", " int t1 = (time + 1) % 2;\n", " struct timeval start_loop_x_0, end_loop_x_0;\n", " gettimeofday(&start_loop_x_0, NULL);\n", " for (int x = 1; x < x_size; x += 1)\n", " {\n", " for (int y = 1; y < y_size; y += 1)\n", " {\n", " u[t1][x][y] = 6.0e-1F*u[t0][x][y] + 2.0e-1F*u[t0][x][y - 1] + 2.0e-1F*u[t0][x - 1][y];\n", " }\n", " }\n", " gettimeofday(&end_loop_x_0, NULL);\n", " timings->loop_x_0 += (double)(end_loop_x_0.tv_sec-start_loop_x_0.tv_sec)+(double)(end_loop_x_0.tv_usec-start_loop_x_0.tv_usec)/1000000;\n", " struct timeval start_loop_y_1, end_loop_y_1;\n", " gettimeofday(&start_loop_y_1, NULL);\n", " for (int y = 0; y < y_size; y += 1)\n", " {\n", " u[t1][0][y] = 1.00000000000000F;\n", " u[t1][80][y] = 1.00000000000000F;\n", " }\n", " gettimeofday(&end_loop_y_1, NULL);\n", " timings->loop_y_1 += (double)(end_loop_y_1.tv_sec-start_loop_y_1.tv_sec)+(double)(end_loop_y_1.tv_usec-start_loop_y_1.tv_usec)/1000000;\n", " struct timeval start_loop_x_2, end_loop_x_2;\n", " gettimeofday(&start_loop_x_2, NULL);\n", " for (int x = 0; x < x_size; x += 1)\n", " {\n", " u[t1][x][80] = 1.00000000000000F;\n", " u[t1][x][0] = 1.00000000000000F;\n", " }\n", " gettimeofday(&end_loop_x_2, NULL);\n", " timings->loop_x_2 += (double)(end_loop_x_2.tv_sec-start_loop_x_2.tv_sec)+(double)(end_loop_x_2.tv_usec-start_loop_x_2.tv_usec)/1000000;\n", " }\n", " return 0;\n", "}\n" ] } ], "source": [ "print(op.ccode)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 1 }