{ "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": [ { "name": "stdout", "output_type": "stream", "text": [ "dx 0.025, dy 0.025\n" ] } ], "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", "print(\"dx %s, dy %s\" % (dx, dy))\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": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# 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": [], "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." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# A small sanity check for auto-testing\n", "assert (u[45:55, 45:55] > 1.8).all()\n", "u_ref = u.copy()\n", "\n", "plot_field(u)" ] }, { "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 implement 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 computational grid and creating a function `u` as a symbolic `devito.TimeFunction`. The core thing to note here is that this is one of Devito's symbolic functions, 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 `TimeFunction` 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, as defined by the `Grid` object, 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": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "from devito import Grid, TimeFunction\n", "\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", "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 discretized equation, but from a neat high-level notation, as shown below." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Eq(1.0*Derivative(u(t, x, y), x) + 1.0*Derivative(u(t, x, y), y) + Derivative(u(t, x, y), t), 0)\n" ] } ], "source": [ "from devito import Eq\n", "\n", "# Specify the `interior` flag so that the stencil is only\n", "# applied to the interior of the domain.\n", "eq = Eq(u.dt + c*u.dxl + c*u.dyl, subdomain=grid.interior)\n", "\n", "print(eq)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above step resulted in a fully discretized 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 discretized 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 symbolic reordering, SymPy comes to the rescue with the `solve` utility that we can use to re-organise our equation." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dt*(-1.0*u(t, x, y)/h_y + 1.0*u(t, x, y - h_y)/h_y - 1.0*u(t, x, y)/h_x + 1.0*u(t, x - h_x, y)/h_x + u(t, x, y)/dt)\n" ] } ], "source": [ "from devito import solve\n", "\n", "stencil = solve(eq, u.forward)\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": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Operator `Kernel` run in 0.01 s\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "from devito import Operator\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, subdomain=grid.interior))\n", "\n", "# Apply the operator for a number of timesteps\n", "op(time=nt, dt=dt)\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 operator Devito has introduced several performance optimisations. We will ignore this aspect for now, also because our example is tiny - but for large runs where performance matters, these optimisations will make a 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 `TimeFunction` 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 occurrences 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 explicitly writing `u[...]`, that is with indices in square-bracket notation. These custom expressions can then be injected into our operator like this:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Operator `Kernel` run in 0.01 s\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\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", "x, y = grid.dimensions\n", "t = grid.stepping_dim\n", "bc_left = Eq(u[t + 1, 0, y], 1.)\n", "bc_right = Eq(u[t + 1, nx-1, y], 1.)\n", "bc_top = Eq(u[t + 1, x, ny-1], 1.)\n", "bc_bottom = Eq(u[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, opt=None, openmp=False) # <-- Turn off performance optimisations\n", "op(time=nt, dt=dt)\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 argument `opt=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": 10, "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 dataobj\n", "{\n", " void *restrict data;\n", " int * size;\n", " int * npsize;\n", " int * dsize;\n", " int * hsize;\n", " int * hofs;\n", " int * oofs;\n", "} ;\n", "\n", "struct profiler\n", "{\n", " double section0;\n", " double section1;\n", " double section2;\n", "} ;\n", "\n", "\n", "int Kernel(const float dt, const float h_x, const float h_y, struct dataobj *restrict u_vec, const int time_M, const int time_m, struct profiler * timers, const int x_M, const int x_m, const int y_M, const int y_m)\n", "{\n", " float (*restrict u)[u_vec->size[1]][u_vec->size[2]] __attribute__ ((aligned (64))) = (float (*)[u_vec->size[1]][u_vec->size[2]]) u_vec->data;\n", "\n", " for (int time = time_m, t0 = (time)%(2), t1 = (time + 1)%(2); time <= time_M; time += 1, t0 = (time)%(2), t1 = (time + 1)%(2))\n", " {\n", " struct timeval start_section0, end_section0;\n", " gettimeofday(&start_section0, NULL);\n", " /* Begin section0 */\n", " for (int x = x_m; x <= x_M; x += 1)\n", " {\n", " for (int y = y_m; y <= y_M; y += 1)\n", " {\n", " u[t1][x + 1][y + 1] = dt*(1.0F*u[t0][x + 1][y]/h_y - 1.0F*u[t0][x + 1][y + 1]/h_y + 1.0F*u[t0][x][y + 1]/h_x - 1.0F*u[t0][x + 1][y + 1]/h_x + u[t0][x + 1][y + 1]/dt);\n", " }\n", " }\n", " /* End section0 */\n", " gettimeofday(&end_section0, NULL);\n", " timers->section0 += (double)(end_section0.tv_sec-start_section0.tv_sec)+(double)(end_section0.tv_usec-start_section0.tv_usec)/1000000;\n", " struct timeval start_section1, end_section1;\n", " gettimeofday(&start_section1, NULL);\n", " /* Begin section1 */\n", " for (int y = y_m; y <= y_M; y += 1)\n", " {\n", " u[t1][1][y + 1] = 1.00000000000000F;\n", " u[t1][81][y + 1] = 1.00000000000000F;\n", " }\n", " /* End section1 */\n", " gettimeofday(&end_section1, NULL);\n", " timers->section1 += (double)(end_section1.tv_sec-start_section1.tv_sec)+(double)(end_section1.tv_usec-start_section1.tv_usec)/1000000;\n", " struct timeval start_section2, end_section2;\n", " gettimeofday(&start_section2, NULL);\n", " /* Begin section2 */\n", " for (int x = x_m; x <= x_M; x += 1)\n", " {\n", " u[t1][x + 1][81] = 1.00000000000000F;\n", " u[t1][x + 1][1] = 1.00000000000000F;\n", " }\n", " /* End section2 */\n", " gettimeofday(&end_section2, NULL);\n", " timers->section2 += (double)(end_section2.tv_sec-start_section2.tv_sec)+(double)(end_section2.tv_usec-start_section2.tv_usec)/1000000;\n", " }\n", " return 0;\n", "}\n", "\n" ] } ], "source": [ "print(op.ccode)" ] } ], "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": "3.7.7" }, "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 }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 4 }