{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "`Cortix` 2019 **07Aug2019**\n", "\n", "# Droplet Swirl Example\n", "* This is part of the [Cortix](https://cortix.org)-on-[Jupyter-Notebook](https://github.com/dpploy/cortix-nb) examples.\n", "* You must be in a Jupyter Notebook server to run this notebook.\n", "* Select each of the cells below and run them sequentially (use the run button, `>|` on the tool bar or use the `Cell` option on the menu bar).\n", "* Alternatively, on the menu bar run all cells: `Cell -> Run All`.\n", "\n", "$ \n", " \\newcommand{\\Amtrx}{\\boldsymbol{\\mathsf{A}}}\n", " \\newcommand{\\Bmtrx}{\\boldsymbol{\\mathsf{B}}}\n", " \\newcommand{\\Smtrx}{\\boldsymbol{\\mathsf{S}}}\n", " \\newcommand{\\xvec}{\\boldsymbol{\\mathsf{x}}}\n", " \\newcommand{\\vvar}{\\boldsymbol{v}}\n", " \\newcommand{\\fvar}{\\boldsymbol{f}}\n", " \\newcommand{\\Power}{\\mathcal{P}}\n", " \\newcommand{\\bm}[1]{{\\boldsymbol{#1}}}\n", "$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## Table of Contents\n", "* [Introduction](#intro)\n", " - [Droplet motion model](#dropletmodel)\n", " - [Vortex motion model](#vortexmodel)\n", "* [Write a Cortix run file](#runfile)\n", "* [Verify the network connectivity](#net)\n", "* [Run the network simulation](#run)\n", "* [Results inspection through Cortix](#inspect)\n", " - [Results: All droplets](#dataplot)\n", " - [Results: Individual droplets](#droplet)\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This Cortix use-case simulates the motion of a swarm of droplets in a vortex stream. \n", "It consists of two modules, namely, a `Droplet` module used to model the droplet dynamics, \n", "and a `Vortex` module used to model the effects of the surrounding air on the falling \n", "droplets. The `Droplet` module is instantiated as many times as there are droplets in \n", "the simulation while a single `Vortex` module is connected to all `Droplet` \n", "instances. The communication between modules entails a two-way data exchange between \n", "the `Vortex` module and the `Droplet` modules, where `Droplet` sends \n", "its position to `Vortex` and `Vortex` returns the air velocity to `Droplet` at the given position." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Droplet motion model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The equation of motion of a spherical droplet can be written as:\n", " \\begin{equation*}\n", " m_\\text{d}\\,d_t\\bm{v} = \\bm{f}_\\text{d} + \\bm{f}_\\text{b} ,\n", " \\end{equation*}\n", "where\n", " \\begin{equation*}\n", " \\bm{f}_\\text{d} = c_\\text{d} A \\, \\rho_\\text{f}\\, \n", " \\frac{||\\bm{v} - \\bm{v}_\\text{f}||}{2}\\,(\\bm{v} - \\bm{v}_\\text{f}) ,\n", " \\end{equation*}\n", "is the form drag force on the droplet,\n", " \\begin{equation*}\n", " \\bm{f}_\\text{b} = (m_\\text{d} - m_\\text{f})\\,g \\hat{z} ,\n", " \\end{equation*} \n", "is the buoyancy force on the droplet,\n", " \\begin{equation*}\n", " c_\\text{d}(Re) = \n", " \\begin{cases}\n", " \\frac{24}{Re} & Re < 0.1\\\\\n", " \\Bigl(\\sqrt{\\frac{24}{Re}} + 0.5407\\Bigr)^2 & 0.1 \\leq Re < 6000 \\\\\n", " 0.44 & Re \\geq 6000\n", " \\end{cases}\n", " \\end{equation*}\n", "is the drag coefficient as a function of Reynold's number, \n", "$Re=\\frac{\\rho_\\text{f}\\,||\\bm{v}||\\,d}{\\mu_\\text{f}}$.\n", "The mass of the droplet and its displaced fluid mass are denoted $m_d$ and $m_f$,\n", "respectively. Droplet diameter, $d$, dynamic viscosity, $\\mu_\\text{f}$, and \n", "mass density, $\\rho_\\text{f}$, of the surrounding air are provided." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Vortex motion model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we simply use an imposed vortex circulation in analytical form given by its \n", "tangential component of velocity\n", " \\begin{equation*}\n", " v_\\theta(r,z,t) = \\Bigl(1 - e^{\\frac{-r^2}{8\\,r_c^2}}\\Bigr) \n", " \\frac{\\Gamma}{2\\pi\\, \\max(r,r_c)} f(z) \\, \\bigl|\\cos(\\mu\\,t)\\bigr|,\n", " \\end{equation*}\n", "and its vertical component\n", " \\begin{equation*}\n", " v_z(z,t) = v_h \\, f(z) \\, \\bigl|\\cos(\\mu\\,t)\\bigr|,\n", " \\end{equation*}\n", "where \n", " \\begin{equation*}\n", " f(z) = e^{\\frac{-(h - z)}{\\ell}}\n", " \\end{equation*}\n", " is a vertical relaxation factor, $r_c$ is the vortex core radius,\n", " $\\Gamma = \\frac{2\\pi R}{v_\\theta |_{r = R}}$ is the vortex circulation,\n", " $R$ is the vortex outer radius,\n", " $h$ is the height of the vortex, and\n", " $\\ell$ is the relaxation length of $v_z$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Write the run context" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Import various packages; must have the Cortix repository installed\n", "\n", "import scipy.constants as const\n", "import matplotlib.pyplot as plt\n", "\n", "# Leave this block here for Azure\n", "try:\n", " import cortix\n", "except ImportError:\n", " print('Installing the \"cortix\" package...')\n", " print('')\n", " !pip install cortix\n", " import cortix\n", "\n", "from cortix.src.cortix_main import Cortix\n", "from cortix.src.network import Network\n", "\n", "# Import the example modules\n", "from cortix.examples.droplet_swirl.vortex import Vortex\n", "from cortix.examples.droplet_swirl.droplet import Droplet" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "code_folding": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[10808] 2019-08-26 20:21:46,035 - cortix - INFO - Created Cortix object \n", "_____________________________________________________________________________\n", " L A U N C H I N G \n", "_____________________________________________________________________________\n", " ... s . (TAAG Fraktur)\n", " xH88\"`~ .x8X :8 @88>\n", " :8888 .f\"8888Hf u. .u . .88 %8P uL ..\n", ":8888> X8L ^\"\"` ...ue888b .d88B :@8c :888ooo . .@88b @88R\n", "X8888 X888h 888R Y888r =\"8888f8888r -*8888888 .@88u \"\"Y888k/\"*P\n", "88888 !88888. 888R I888> 4888>\"88\" 8888 888E` Y888L\n", "88888 %88888 888R I888> 4888> \" 8888 888E 8888\n", "88888 `> `8888> 888R I888> 4888> 8888 888E `888N\n", "`8888L % ?888 ! u8888cJ888 .d888L .+ .8888Lu= 888E .u./\"888&\n", " `8888 `-*\"\" / \"*888*P\" ^\"8888*\" ^%888* 888& d888\" Y888*\"\n", " \"888. :\" \"Y\" \"Y\" \"Y\" R888\" ` \"Y Y\"\n", " `\"\"***~\"` \"\"\n", " https://cortix.org \n", "_____________________________________________________________________________\n" ] } ], "source": [ "# Create a Cortix object with Python multiprocessing\n", "\n", "swirl = Cortix(use_mpi=False,splash=True)\n", "\n", "swirl.network = Network()\n", "swirl_net = swirl.network\n", "\n", "# Set parameters in SI units\n", "\n", "n_droplets = 15\n", "end_time = 3*const.minute\n", "time_step = 0.2" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Create the application network\n", "\n", "# Vortex module (single)\n", "vortex = Vortex()\n", "swirl_net.module(vortex)\n", "vortex.show_time = (True,1*const.minute)\n", "vortex.end_time = end_time\n", "vortex.time_step = time_step\n", "vortex.plot_velocity()\n", "\n", "for i in range(n_droplets):\n", " \n", " # Droplet modules (multiple)\n", " droplet = Droplet()\n", " swirl_net.module(droplet)\n", " droplet.end_time = end_time\n", " droplet.time_step = time_step\n", " droplet.bounce = False # allow droplets to bounce off the ground\n", " droplet.slip = False # allow droplets to slip on the ground (otherwise will stick)\n", " droplet.save = True # Save the simulation data for post-processing\n", " \n", " swirl_net.connect( [droplet, 'external-flow'], [vortex, vortex.get_port('fluid-flow:{}'.format(i))], 'bidirectional')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Verify the network connectivity" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "network-0\n", "\n", "\n", "\n", "0\n", "\n", "Vortex\n", "\n", "\n", "\n", "1\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->1\n", "\n", "\n", "\n", "\n", "\n", "2\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->2\n", "\n", "\n", "\n", "\n", "\n", "3\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->3\n", "\n", "\n", "\n", "\n", "\n", "4\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->4\n", "\n", "\n", "\n", "\n", "\n", "5\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->5\n", "\n", "\n", "\n", "\n", "\n", "6\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->6\n", "\n", "\n", "\n", "\n", "\n", "7\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->7\n", "\n", "\n", "\n", "\n", "\n", "8\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->8\n", "\n", "\n", "\n", "\n", "\n", "9\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->9\n", "\n", "\n", "\n", "\n", "\n", "10\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->10\n", "\n", "\n", "\n", "\n", "\n", "11\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->11\n", "\n", "\n", "\n", "\n", "\n", "12\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->12\n", "\n", "\n", "\n", "\n", "\n", "13\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->13\n", "\n", "\n", "\n", "\n", "\n", "14\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->14\n", "\n", "\n", "\n", "\n", "\n", "15\n", "\n", "Droplet\n", "\n", "\n", "\n", "0->15\n", "\n", "\n", "\n", "\n", "\n", "1->0\n", "\n", "\n", "\n", "\n", "\n", "2->0\n", "\n", "\n", "\n", "\n", "\n", "3->0\n", "\n", "\n", "\n", "\n", "\n", "4->0\n", "\n", "\n", "\n", "\n", "\n", "5->0\n", "\n", "\n", "\n", "\n", "\n", "6->0\n", "\n", "\n", "\n", "\n", "\n", "7->0\n", "\n", "\n", "\n", "\n", "\n", "8->0\n", "\n", "\n", "\n", "\n", "\n", "9->0\n", "\n", "\n", "\n", "\n", "\n", "10->0\n", "\n", "\n", "\n", "\n", "\n", "11->0\n", "\n", "\n", "\n", "\n", "\n", "12->0\n", "\n", "\n", "\n", "\n", "\n", "13->0\n", "\n", "\n", "\n", "\n", "\n", "14->0\n", "\n", "\n", "\n", "\n", "\n", "15->0\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# View the Cortix network created\n", "\n", "swirl_net.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run network simulation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[10808] 2019-08-26 20:21:46,483 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,490 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,493 - cortix - INFO - Vortex::time[min] = 0.0\n", "[10808] 2019-08-26 20:21:46,496 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,507 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,513 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,524 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,537 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,546 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,554 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,562 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,571 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,583 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,596 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,613 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,627 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:46,642 - cortix - INFO - Launching Module \n", "[10808] 2019-08-26 20:21:55,536 - cortix - INFO - Vortex::time[min] = 1.0\n", "[10808] 2019-08-26 20:22:03,440 - cortix - INFO - Vortex::time[min] = 2.0\n", "[10808] 2019-08-26 20:22:11,761 - cortix - INFO - run()::Elapsed wall clock time [s]: 25.72\n" ] } ], "source": [ "# Run the simulation!\n", "\n", "swirl.run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Results inspection through Cortix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### All droplets" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''All droplets' trajectory'''\n", "\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import matplotlib.pyplot as plt\n", "\n", "position_histories = list()\n", "for m in swirl_net.modules[1:]:\n", " position_histories.append( m.liquid_phase.get_quantity_history('position')[0].value )\n", " \n", "fig = plt.figure(1)\n", "ax = fig.add_subplot(111,projection='3d')\n", "ax.set_title('Droplet Trajectories')\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_zlabel('z')\n", "for p in position_histories:\n", " x = [u[0] for u in p]\n", " y = [u[1] for u in p]\n", " z = [u[2] for u in p]\n", " ax.plot(x,y,z)\n", "plt.rcParams['figure.figsize'] = [10,10]\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Trajectories of all droplets released from random positions at 500-m altitude. Multiprocessing parallel run with number of processes corresponding to all modules: all `Droplet` modules, 1 `Vortex` module,\n", "and 1 Cortix master process." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''All droplets' speed'''\n", "\n", "fig = plt.figure(2)\n", "plt.xlabel('Time [min]')\n", "plt.ylabel('Speed [m/s]')\n", "plt.title('All Droplets')\n", "\n", "for m in swirl_net.modules[1:]:\n", " speed = m.liquid_phase.get_quantity_history('speed')[0].value\n", " plt.plot(list(speed.index/60), speed.tolist())\n", "\n", "plt.rcParams['figure.figsize'] = [8,5]\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''All droplets' radial position'''\n", "\n", "fig = plt.figure(3)\n", "plt.xlabel('Time [min]')\n", "plt.ylabel('Radial Position [m]')\n", "plt.title('All Droplets')\n", "\n", "for m in swirl_net.modules[1:]:\n", " radial_pos = m.liquid_phase.get_quantity_history('radial-position')[0].value\n", " plt.plot(list(radial_pos.index/60), radial_pos.tolist())\n", "\n", "plt.rcParams['figure.figsize'] = [8,5]\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Individual droplet modules" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "time unit = s\n", "speed unit = m/s\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''Droplet 1 Module State'''\n", "\n", "droplet_1 = swirl_net.modules[2]\n", "(speed_quant,time_unit) = droplet_1.liquid_phase.get_quantity_history('speed')\n", "print('time unit = ',time_unit)\n", "print('speed unit = ',speed_quant.unit)\n", "speed = speed_quant.value\n", "speed.plot(title='Droplet 1: Speed vs Time')\n", "plt.rcParams['figure.figsize'] = [8,5]\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "time unit = s\n", "rad. pos. unit = m\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "(radial_position_quant,time_unit) = droplet_1.liquid_phase.get_quantity_history('radial-position')\n", "print('time unit = ',time_unit)\n", "print('rad. pos. unit = ',radial_position_quant.unit)\n", "rad_pos = radial_position_quant.value\n", "rad_pos.plot(title='Droplet 1: Radial Position vs Time')\n", "plt.rcParams['figure.figsize'] = [8,5]\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Droplet at Scale\n", "\n", "Below is a graph of the number of droplets in the system vs the elapsed time of the corresponding simulation.\n", "This scaling experiment uses randomly positioned droplets at altitude of 500 m. Therefore the work for each run is not exactly the same since time integration of the trajectories use time adaptivity and some trajectories take more work to complete than others. However the plot below shows the trend of the one-to-all communication bottlenect with increasing number of droplet modules.\n", "\n", "**Data collected courtesy of the Idaho National Labs HPC center (https://hpc.inl.gov)**" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average number of droplets handled per second: 2.03\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "# Droplet number vs Simulation runtimes \n", "droplet_run_times = [(250, 127), (500, 168), (1000, 346), (2000, 1660), (3000, 2659.24)]\n", "\n", "# Calculate the average runtime per droplet\n", "drops_per_sec = [x/y for (x,y) in droplet_run_times]\n", "avg_drop_per_sec = sum(drops_per_sec) / len(drops_per_sec)\n", "print(\"Average number of droplets handled per second: %.2f\" % avg_drop_per_sec)\n", "\n", "plt.plot([x for (x, y) in droplet_run_times], [y for (x, y) in droplet_run_times])\n", "plt.title(\"Simulation Runtime vs Number of Droplets\")\n", "plt.xlabel(\"Number of Droplets (MPI processes or Cores)\")\n", "plt.ylabel(\"Simulation Runtime (s)\")\n", "plt.grid()\n", "plt.savefig(\"droplet_trend.png\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.1" }, "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": 2 }