00_tutorial_lbmpy_walberla_overview.ipynb 304 KB
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{
 "cells": [
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  {
   "cell_type": "code",
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   "execution_count": 1,
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   "metadata": {},
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'pycuda' from '/home/markus/miniconda3/lib/python3.7/site-packages/pycuda/__init__.py'>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
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   "source": [
    "import pytest\n",
    "pytest.importorskip('pycuda')"
   ]
  },
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  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from lbmpy.session import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Overview: *lbmpy*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Welcome to the documentation of the *lbmpy* lattice Boltzmann module! In this document we'll give you an overview  over the architecture of the package and will show you different ways to use it. You can find more \n",
    "hands-on examples on how to set up specific simulations in the tutorial notebooks.\n",
    "\n",
    "You probably already have noticed that this is not a normal website. You are looking at an interactive IPython/Jupyter notebook. That means that the following grey code cells contain valid Python code that can be run interactively. You can run the code cells by hitting Shift+Enter. Make sure to run all of them in order, since variables and state defined in an executed code cell is used by the next cells.\n",
    "\n",
    "## Code generation and its advantages\n",
    "\n",
    "Now, back to *lbmpy*: Whats special about it? *lbmpy* is not just an implementation of different LB schemes in Python. Instead *lbmpy* is a package to generate fast C implementations. This is done by writing down the LB equations in a generic, symbolic way in a computer algebra system. Then the equations can be adapted to the specific problem, rearranged, and simplified. Basically you can think of this step as rewriting the \"paper representation\" of a method, such that a C programmer with no LB experience can implement it. \n",
    "At this step one can already insert scenario specific information into the equations, like fixing relaxation rates, stencil, force model or domain sizes, such that the equations can be written in a simpler form that has less floating point operations (FLOPs). \n",
    "\n",
    "*lbmpy* was written after realizing that it is almost impossible to write a generic **and** fast LB code in a language like C++. In principle it is possible to realize abstractions with static polymorphism (in C++: with template meta programming) but in practice this leads to code that is hard to understand and maintain. And for LB schemes there are lots of model and parameters choices that one would like to write down in an abstract way. The following picture shows some of these options one faces when implementing a new LB code:\n",
    "\n",
    "![](../img/feature_optimization_overview.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets illustrate this with a simple example: Lets say you want MRT and cumulant collision operators for a two dimensional (D2Q9) and two different 3D stencils (D3Q19 and D3Q27). It turns out that abstracting the stencil specific code away by introducting a stencil class or even stencil-template-constructs already lead to performance degradations. When the stencil is known at compile time, one can do stencil specific common subexpression elimination that drastically reduces the number of FLOPs. Similar effects are also encountered related to the other implementation choices. Thus in *lbmpy* one completely specifies the LB scheme one wants to have, then the LB equations are simplified and optimized and a shared memory parallel C implementation is generated. In that way all the information one has about the scenario can be used at 'compile time' and the best possible compute kernel is generated. \n",
    "\n",
    "Now, enough of the theory, let's set up a simple simulation. The next cell simulates a lid driven cavity, all domain borders are wall, the upper wall is moving to the right. To run the cell click into and and hit Shift+Enter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
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      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
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     "metadata": {
      "needs_background": "light"
     },
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     "output_type": "display_data"
    }
   ],
   "source": [
    "ldc = create_lid_driven_cavity(domain_size=(100, 40), method='srt', relaxation_rate=1.6)\n",
    "ldc.run(500)\n",
    "plt.vector_field(ldc.velocity_slice());"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Executing this cell probably took quite a while to execute, because in the background the method was derived, simplified and compiled. Running a few more timesteps now is faster, since the compiled kernel is already available."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "ldc.run(500)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Above simulation runs C code, that was created by Python, compiled to a shared library, then loaded again into Python, such that we can call it like a normal Python function. We can actually have a look a the intermediate C code. Remove the comment from the next cell and run it: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#show_code(ldc.ast)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that this code has the relaxation rate and array sizes inserted as numeric constants. This additional information helps the C compiler to generate faster code. Also, having the code in symbolic form makes it easy to generate code for different platforms as well: C(++) for CPUs, optionally with platform specific SIMD instrinsics or CUDA for Nvidia GPUs. To run the lid driven cavity on GPUs all it takes are the following changes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "CPU : 138.2 MLUPS,  GPU 66.6 MLUPS\n"
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     ]
    }
   ],
   "source": [
    "optimization = {'target': 'gpu', 'gpu_indexing_params': {'block_size': (16, 4, 1)}}\n",
    "ldc_gpu = create_lid_driven_cavity(domain_size=(100, 40, 10), method='srt', relaxation_rate=1.6, \n",
    "                                   optimization=optimization)  \n",
    "\n",
    "print(\"CPU : %.1f MLUPS,  GPU %.1f MLUPS\" % (ldc.benchmark(), ldc_gpu.benchmark()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Performance is reported in million lattice cells updates per second (MLUPS), i.e. the larger the faster."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this section we hopefully have convinced you, that code generation is a powerful technique that can give you code flexibility without drawbacks in performance. We have already demonstrated the flexibility with respect to target architecture (CPU, GPU), in the next section we show the flexibility in terms of supported LB methods."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## LB schemes\n",
    "\n",
    "In this section we demonstrate how to use advanced LB schemes like multi-relaxation-time, cumulant and entropic schemes.\n",
    "\n",
    "### MRT methods and its special cases\n",
    "\n",
    "For the lid driven cavity above we have used the simplest lattice Boltzmann scheme with a single relaxation time (SRT), sometimes also called BGK scheme. This method relaxes each moment of the particle distribution function with the same relaxation rate. This relaxation rate is used to control the viscosity of the fluid. SRT can be viewed as a special case of the more general multi relaxation time methods, where different moments can be relaxed to equilibrium with a different rate. We get back the SRT operator by choosing all MRT relaxation rates as the same constant. Actually *lbmpy* always uses the MRT representation, and by setting a single relaxation rate for all moments and after a lot of equation simplification steps, an efficient SRT kernel drops out.\n",
    "\n",
    "In a C++ code one would have to implement the SRT special case separately, since the C++ compiler could not do all the simplifications of the MRT code, even if the relaxation rates would be template parameters. This means that one would have to implement a separate SRT, TRT, and MRT kernel.\n",
    "This is not required here, because of the automatic equation simplification. \n",
    "\n",
    "Let's look at the details of the methods we used above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <table style=\"border:none; width: 100%\">\n",
       "            <tr style=\"border:none\">\n",
       "                <th style=\"border:none\" >Moment</th>\n",
       "                <th style=\"border:none\" >Eq. Value </th>\n",
       "                <th style=\"border:none\" >Relaxation Rate</th>\n",
       "            </tr>\n",
       "            <tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$1$</td>\n",
       "                            <td style=\"border:none\">$\\rho$</td>\n",
       "                            <td style=\"border:none\">$1.6$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x$</td>\n",
       "                            <td style=\"border:none\">$u_{0}$</td>\n",
       "                            <td style=\"border:none\">$1.6$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$y$</td>\n",
       "                            <td style=\"border:none\">$u_{1}$</td>\n",
       "                            <td style=\"border:none\">$1.6$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x^{2}$</td>\n",
       "                            <td style=\"border:none\">$\\frac{\\rho}{3} + u_{0}^{2}$</td>\n",
       "                            <td style=\"border:none\">$1.6$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$y^{2}$</td>\n",
       "                            <td style=\"border:none\">$\\frac{\\rho}{3} + u_{1}^{2}$</td>\n",
       "                            <td style=\"border:none\">$1.6$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x y$</td>\n",
       "                            <td style=\"border:none\">$u_{0} u_{1}$</td>\n",
       "                            <td style=\"border:none\">$1.6$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x^{2} y$</td>\n",
       "                            <td style=\"border:none\">$\\frac{u_{1}}{3}$</td>\n",
       "                            <td style=\"border:none\">$1.6$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x y^{2}$</td>\n",
       "                            <td style=\"border:none\">$\\frac{u_{0}}{3}$</td>\n",
       "                            <td style=\"border:none\">$1.6$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x^{2} y^{2}$</td>\n",
       "                            <td style=\"border:none\">$\\frac{\\rho}{9} + \\frac{u_{0}^{2}}{3} + \\frac{u_{1}^{2}}{3}$</td>\n",
       "                            <td style=\"border:none\">$1.6$</td>\n",
       "                         </tr>\n",
       "\n",
       "        </table>\n",
       "        "
      ],
      "text/plain": [
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       "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7f0e2d1a7050>"
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      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ldc.method"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All moments are relaxed to their equilibrium values with the same rate. We can easily built a more complex method were we choose different rates to separately control viscosity, bulk viscosity and relaxation of higher order moments:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <table style=\"border:none; width: 100%\">\n",
       "            <tr style=\"border:none\">\n",
       "                <th style=\"border:none\" >Moment</th>\n",
       "                <th style=\"border:none\" >Eq. Value </th>\n",
       "                <th style=\"border:none\" >Relaxation Rate</th>\n",
       "            </tr>\n",
       "            <tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$1$</td>\n",
       "                            <td style=\"border:none\">$\\rho$</td>\n",
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       "                            <td style=\"border:none\">$0$</td>\n",
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       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x$</td>\n",
       "                            <td style=\"border:none\">$u_{0}$</td>\n",
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       "                            <td style=\"border:none\">$0$</td>\n",
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       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$y$</td>\n",
       "                            <td style=\"border:none\">$u_{1}$</td>\n",
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       "                            <td style=\"border:none\">$0$</td>\n",
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       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
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       "                            <td style=\"border:none\">$x^{2} - y^{2}$</td>\n",
       "                            <td style=\"border:none\">$u_{0}^{2} - u_{1}^{2}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x y$</td>\n",
       "                            <td style=\"border:none\">$u_{0} u_{1}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$3 x^{2} + 3 y^{2} - 2$</td>\n",
       "                            <td style=\"border:none\">$3 u_{0}^{2} + 3 u_{1}^{2}$</td>\n",
       "                            <td style=\"border:none\">$1.5$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$3 x^{2} y - y$</td>\n",
       "                            <td style=\"border:none\">$0$</td>\n",
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       "                            <td style=\"border:none\">$1$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
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       "                            <td style=\"border:none\">$3 x y^{2} - x$</td>\n",
       "                            <td style=\"border:none\">$0$</td>\n",
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       "                            <td style=\"border:none\">$1$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
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       "                            <td style=\"border:none\">$9 x^{2} y^{2} - 3 x^{2} - 3 y^{2} + 1$</td>\n",
       "                            <td style=\"border:none\">$0$</td>\n",
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       "                            <td style=\"border:none\">$1$</td>\n",
       "                         </tr>\n",
       "\n",
       "        </table>\n",
       "        "
      ],
      "text/plain": [
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      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
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    "mrt_ldc = create_lid_driven_cavity(domain_size=(100, 40), method='mrt',\n",
    "                                   relaxation_rates=[1.8, 1.5, 1, 1], weighted=True)\n",
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    "mrt_ldc.method"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
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    "In principle, we can freely choose all entries of the above table (as long as the moments are linear independent) and automatically generate a custom MRT implementation. Since the conserved quantities usually do not affect the collision, they are chosen as zero by default. For special cases, their relaxation rate can be manipulated with `set_conserved_moments_relaxation_rate`. Furthermore, the above method uses weighted orthogonal moments."
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Modern methods: cumulant and entropic schemes\n",
    "\n",
    "Recently more complex lattice Boltzmann methods have been published that improve the stability of standard methods. We demonstrate this by a setting up a shear flow scenario where the upper half is initialized with velocity to the right and the lower half with a velocity to the left. The y-velocity component is initialized with a very small random value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "image/png": 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\n",
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      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
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     "metadata": {
      "needs_background": "light"
     },
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     "output_type": "display_data"
    }
   ],
   "source": [
    "domain_size = (100, 100)\n",
    "yHalf = domain_size[1]//2\n",
    "initial_velocity = np.zeros(domain_size + (2,))\n",
    "initial_velocity[:, :yHalf, 0] =  0.08\n",
    "initial_velocity[:, yHalf:, 0] = -0.08\n",
    "initial_velocity[:, :, 1] += np.random.rand(*domain_size) * 1e-5\n",
    "plt.vector_field(initial_velocity, step=8);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We choose a relaxation rate near the upper limit of 2. Three scenarios are created:\n",
    "- BGK/SRT collision operator\n",
    "- cumulant collision operator \n",
    "- entropic stabilization\n",
    "\n",
    "For the latter two advanced methods the relaxation rates of the higher order moments are chosen as equilibrium (for cumulant) or subject to an entropy condition (for the entropic) scheme."
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 11,
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   "metadata": {},
   "outputs": [],
   "source": [
    "rr = 1.995\n",
    "\n",
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    "periodic_flow_srt = create_fully_periodic_flow(initial_velocity, relaxation_rate=rr, compressible=True)\n",
    "\n",
    "periodic_flow_cumulant = create_fully_periodic_flow(initial_velocity, method='mrt_raw', cumulant=True,\n",
    "                                                    compressible=True, relaxation_rates=[0, 0, 0, rr, rr, rr, 1, 1, 1])\n",
    "\n",
    "periodic_flow_entropic = create_fully_periodic_flow(initial_velocity, method='mrt', compressible=True,\n",
    "                                                    relaxation_rates=[rr, rr, 1, 1], entropic=True)\n"
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   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run the following cell to see the results of the three methods after 1000 time steps."
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 17,
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   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1440x360 with 3 Axes>"
      ]
     },
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     "metadata": {
      "needs_background": "light"
     },
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     "output_type": "display_data"
    }
   ],
   "source": [
    "periodic_flow_entropic.run(1000)\n",
    "periodic_flow_cumulant.run(1000)\n",
    "periodic_flow_srt.run(1000)\n",
    "\n",
    "plt.figure(figsize=(20, 5))\n",
    "plt.subplot(1, 3, 1)\n",
    "plt.title(\"SRT\")\n",
    "plt.scalar_field(periodic_flow_srt.velocity[:, :, 0])\n",
    "plt.subplot(1, 3, 2)\n",
    "plt.title(\"Cumulant\")\n",
    "plt.scalar_field(periodic_flow_cumulant.velocity[:, :, 0])\n",
    "plt.subplot(1, 3, 3)\n",
    "plt.title(\"Entropic\")\n",
    "plt.scalar_field(periodic_flow_entropic.velocity[:, :, 0]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, run above cell another time to simulate further. The simple SRT model will become unstable and yield NaN's.\n",
    "Both advanced methods run stable."
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": null,
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   "metadata": {},
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   "outputs": [],
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   "source": [
    "domain_size = (300, 300)\n",
    "yHalf = domain_size[1]//2\n",
    "initial_velocity = np.zeros(domain_size + (2,))\n",
    "initial_velocity[:, :yHalf, 0] =  0.08\n",
    "initial_velocity[:, yHalf:, 0] = -0.08\n",
    "initial_velocity[:, :, 1] += np.random.rand(*domain_size) * 1e-2\n",
    "plt.vector_field(initial_velocity, step=8);\n",
    "\n",
    "sc = create_fully_periodic_flow(initial_velocity, relaxation_rate=1.9)"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": null,
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   "metadata": {},
   "outputs": [],
   "source": [
    "sc.run(4000)"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": null,
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   "metadata": {},
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   "outputs": [],
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   "source": [
    "plt.vector_field(sc.velocity[:, :, :], step=8)"
   ]
  }
 ],
 "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",
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   "version": "3.7.4"
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  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}