{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example - 08 - Venus Aerocapture: Part 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this example, you will learn to create a drag modulation aerocapture feasibility chart for Venus.\n", "\n", "For reference, we will re-create another figure from the paper \"Girija, Lu, and Saikia, Feasibility and Mass-Benefit Analysis of Aerocapture for Missions to Venus, Journal of Spacecraft and Rockets, Vol. 57, No. 1\" DOI: 10.2514/1.A34529" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 1, "metadata": { "image/png": { "width": 600 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename='../plots/girijaYe2020c-reference.png', width=600)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from AMAT.planet import Planet\n", "from AMAT.vehicle import Vehicle\n", "\n", "import numpy as np\n", "from scipy import interpolate\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib import rcParams\n", "from matplotlib.patches import Polygon\n", "import os" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Create a planet object\n", "planet=Planet(\"VENUS\") \n", "planet.h_skip = 150000.0 \n", "\n", "# Load an nominal atmospheric profile with height, temp, pressure, density data\n", "planet.loadAtmosphereModel('../atmdata/Venus/venus-gram-avg.dat', 0 , 1 ,2, 3)\n", "\n", "vinf_kms_array = np.linspace( 0.0, 30.0, 11)\n", "betaRatio_array = np.linspace( 1.0, 101.0 , 11)\n", "\n", "#vinf_kms_array = np.linspace( 0.0, 30.0, 2)\n", "#betaRatio_array = np.linspace( 1.0, 101.0 , 2)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "beta1 = 5.0\n", "\n", "os.makedirs('../data/girijaYe2019c')\n", "runID = 'DMBC5RAP400EI150'" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "v0_kms_array = np.zeros(len(vinf_kms_array))\n", "v0_kms_array[:] = np.sqrt(1.0*(vinf_kms_array[:]*1E3)**2.0 + 2*np.ones(len(vinf_kms_array))*planet.GM/(planet.RP+150.0*1.0E3))/1.0E3\n", "\n", "overShootLimit_array = np.zeros((len(v0_kms_array),len(betaRatio_array))) \n", "underShootLimit_array = np.zeros((len(v0_kms_array),len(betaRatio_array))) \n", "exitflag_os_array = np.zeros((len(v0_kms_array),len(betaRatio_array))) \n", "exitflag_us_array = np.zeros((len(v0_kms_array),len(betaRatio_array))) \n", "TCW_array = np.zeros((len(v0_kms_array),len(betaRatio_array))) \n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "VINF: 0.0 km/s, BETA RATIO: 1.0 TCW: 0.0 deg.\n", "VINF: 0.0 km/s, BETA RATIO: 101.0 TCW: 0.8981981236029242 deg.\n", "VINF: 30.0 km/s, BETA RATIO: 1.0 TCW: 0.0 deg.\n", "VINF: 30.0 km/s, BETA RATIO: 101.0 TCW: 1.192248803385155 deg.\n" ] } ], "source": [ "for i in range(0,len(v0_kms_array)):\n", " for j in range(0,len(betaRatio_array)):\n", " vehicle=Vehicle('DMVehicle', 1500.0, beta1, 0.0, 3.1416, 0.0, 0.10, planet)\n", " vehicle.setInitialState(150.0,0.0,0.0,v0_kms_array[i],0.0,-4.5,0.0,0.0)\n", " vehicle.setSolverParams(1E-6)\n", " vehicle.setDragModulationVehicleParams(beta1,betaRatio_array[j])\n", "\n", " underShootLimit_array[i,j], exitflag_us_array[i,j] = vehicle.findUnderShootLimitD(2400.0, 0.1, -80.0,-4.0,1E-10,400.0)\n", " overShootLimit_array[i,j] , exitflag_os_array[i,j] = vehicle.findOverShootLimitD (2400.0, 0.1, -80.0,-4.0,1E-10,400.0)\n", "\n", " TCW_array[i,j] = overShootLimit_array[i,j] - underShootLimit_array[i,j]\n", "\n", " print('VINF: '+str(vinf_kms_array[i])+' km/s, BETA RATIO: '+str(betaRatio_array[j])+' TCW: '+str(TCW_array[i,j])+' deg.')\n", "\n", "np.savetxt('../data/girijaYe2019c/'+runID+'vinf_kms_array.txt',vinf_kms_array)\t\t\t\t\n", "np.savetxt('../data/girijaYe2019c/'+runID+'v0_kms_array.txt',v0_kms_array)\t\t\n", "np.savetxt('../data/girijaYe2019c/'+runID+'betaRatio_array.txt',betaRatio_array)\t\t\n", "np.savetxt('../data/girijaYe2019c/'+runID+'overShootLimit_array.txt',overShootLimit_array)\n", "np.savetxt('../data/girijaYe2019c/'+runID+'exitflag_os_array.txt',exitflag_os_array)\n", "np.savetxt('../data/girijaYe2019c/'+runID+'underShootLimit_array.txt',underShootLimit_array)\n", "np.savetxt('../data/girijaYe2019c/'+runID+'exitflag_us_array.txt',exitflag_us_array)\n", "np.savetxt('../data/girijaYe2019c/'+runID+'TCW_array.txt',TCW_array)\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "V_infty: 0.0 km/s, BR: 1.0 G_MAX: 4.2619678756684065 QDOT_MAX: 107.04783114721339 J_MAX: 9963.95886102549 STAG. PRES: 0.00206384918146089\n", "V_infty: 0.0 km/s, BR: 101.0 G_MAX: 4.2619678756684065 QDOT_MAX: 1069.8045659113661 J_MAX: 105153.41622997135 STAG. PRES: 0.00206384918146089\n", "V_infty: 30.0 km/s, BR: 1.0 G_MAX: 143.43437041606074 QDOT_MAX: 763604.549664235 J_MAX: 4964898.795992032 STAG. PRES: 0.06941820444237855\n", "V_infty: 30.0 km/s, BR: 101.0 G_MAX: 143.43437041606074 QDOT_MAX: 182872814.4356986 J_MAX: 1231040818.2242763 STAG. PRES: 0.06941820444237855\n" ] } ], "source": [ "acc_net_g_max_array = np.zeros((len(v0_kms_array),len(betaRatio_array))) \n", "stag_pres_atm_max_array = np.zeros((len(v0_kms_array),len(betaRatio_array))) \n", "q_stag_total_max_array = np.zeros((len(v0_kms_array),len(betaRatio_array))) \n", "heatload_max_array = np.zeros((len(v0_kms_array),len(betaRatio_array))) \n", "\n", "\n", "for i in range(0,len(v0_kms_array)):\n", " for j in range(0,len(betaRatio_array)):\n", " vehicle=Vehicle('DMVehicle', 1500.0, beta1, 0.0, 3.1416, 0.0, 0.10, planet)\n", " vehicle.setInitialState(150.0,0.0,0.0,v0_kms_array[i],0.0,overShootLimit_array[i,j],0.0,0.0)\n", " vehicle.setSolverParams(1E-6)\n", "\n", " vehicle.propogateEntry (2400.0, 0.1, 0.0)\n", "\n", " # Extract and save variables to plot\n", " t_min_os = vehicle.t_minc\n", " h_km_os = vehicle.h_kmc\n", " acc_net_g_os = vehicle.acc_net_g\n", " q_stag_con_os = vehicle.q_stag_con\n", " q_stag_rad_os = vehicle.q_stag_rad\n", " rc_os = vehicle.rc\n", " vc_os = vehicle.vc\n", " stag_pres_atm_os = vehicle.computeStagPres(rc_os,vc_os)/(1.01325E5) \n", " heatload_os = vehicle.heatload\n", "\n", "\n", " vehicle=Vehicle('DMVehicle', 1500.0, beta1*betaRatio_array[j], 0.0, 3.1416, 0.0, 0.10, planet)\n", " vehicle.setInitialState(150.0,0.0,0.0,v0_kms_array[i],0.0,underShootLimit_array[i,j],0.0,0.0)\n", " vehicle.setSolverParams( 1E-6)\n", "\n", " vehicle.propogateEntry (2400.0, 0.1, 0.0)\n", "\n", " # Extract and save variable to plot\n", " t_min_us = vehicle.t_minc\n", " h_km_us = vehicle.h_kmc\n", " acc_net_g_us = vehicle.acc_net_g\n", " q_stag_con_us = vehicle.q_stag_con\n", " q_stag_rad_us = vehicle.q_stag_rad\n", " rc_us = vehicle.rc\n", " vc_us = vehicle.vc\n", " stag_pres_atm_us = vehicle.computeStagPres(rc_us,vc_us)/(1.01325E5) \n", " heatload_us = vehicle.heatload\n", "\n", " q_stag_total_os = q_stag_con_os + q_stag_rad_os\n", " q_stag_total_us = q_stag_con_us + q_stag_rad_us\n", "\n", " acc_net_g_max_array[i,j] = max(max(acc_net_g_os),max(acc_net_g_us)) \n", " stag_pres_atm_max_array[i,j] = max(max(stag_pres_atm_os),max(stag_pres_atm_os))\n", " q_stag_total_max_array[i,j] = max(max(q_stag_total_os),max(q_stag_total_us)) \n", " heatload_max_array[i,j] = max(max(heatload_os),max(heatload_us))\n", "\n", " print(\"V_infty: \"+str(vinf_kms_array[i])+\" km/s\"+\", BR: \"+str(betaRatio_array[j])+\" G_MAX: \"+str(acc_net_g_max_array[i,j])+\" QDOT_MAX: \"+str(q_stag_total_max_array[i,j])+\" J_MAX: \"+str(heatload_max_array[i,j])+\" STAG. PRES: \"+str(stag_pres_atm_max_array[i,j]))\n", "\n", "np.savetxt('../data/girijaYe2019c/'+runID+'acc_net_g_max_array.txt',acc_net_g_max_array)\n", "np.savetxt('../data/girijaYe2019c/'+runID+'stag_pres_atm_max_array.txt',stag_pres_atm_max_array)\n", "np.savetxt('../data/girijaYe2019c/'+runID+'q_stag_total_max_array.txt',q_stag_total_max_array)\n", "np.savetxt('../data/girijaYe2019c/'+runID+'heatload_max_array.txt',heatload_max_array)\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/athul/anaconda3/lib/python3.7/site-packages/scipy/interpolate/interpolate.py:609: RuntimeWarning: divide by zero encountered in true_divide\n", " slope = (y_hi - y_lo) / (x_hi - x_lo)[:, None]\n", "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n", "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.loadtxt('../data/girijaYe2019c/'+runID+'vinf_kms_array.txt')\n", "y = np.loadtxt('../data/girijaYe2019c/'+runID+'betaRatio_array.txt')\n", "\n", "Z1 = np.loadtxt('../data/girijaYe2019c/'+runID+'TCW_array.txt')\n", "G1 = np.loadtxt('../data/girijaYe2019c/'+runID+'acc_net_g_max_array.txt')\n", "Q1 = np.loadtxt('../data/girijaYe2019c/'+runID+'q_stag_total_max_array.txt')\n", "H1 = np.loadtxt('../data/girijaYe2019c/'+runID+'heatload_max_array.txt')\n", "S1 = np.loadtxt('../data/girijaYe2019c/'+runID+'stag_pres_atm_max_array.txt')\n", "\n", "\n", "f1 = interpolate.interp2d(x, y, np.transpose(Z1), kind='cubic')\t\n", "g1 = interpolate.interp2d(x, y, np.transpose(G1), kind='cubic')\n", "q1 = interpolate.interp2d(x, y, np.transpose(Q1), kind='cubic')\n", "h1 = interpolate.interp2d(x, y, np.transpose(H1), kind='cubic')\n", "s1 = interpolate.interp2d(x, y, np.transpose(S1), kind='cubic')\n", "\n", "\n", "x_new = np.linspace( 0.0, 30, 110)\n", "y_new = np.linspace( 0.0, 101 ,110)\n", "\n", "z1_new = np.zeros((len(x_new),len(y_new)))\n", "g1_new = np.zeros((len(x_new),len(y_new)))\n", "q1_new = np.zeros((len(x_new),len(y_new)))\n", "h1_new = np.zeros((len(x_new),len(y_new)))\n", "s1_new = np.zeros((len(x_new),len(y_new)))\n", "\n", "for i in range(0,len(x_new)):\n", " for j in range(0,len(y_new)):\n", "\n", " z1_new[i,j] = f1(x_new[i],y_new[j])\n", " g1_new[i,j] = g1(x_new[i],y_new[j])\n", " q1_new[i,j] = q1(x_new[i],y_new[j])\n", " h1_new[i,j] = h1(x_new[i],y_new[j])\n", " s1_new[i,j] = s1(x_new[i],y_new[j])\n", "\n", "\n", "Z1 = z1_new\n", "G1 = g1_new\n", "Q1 = q1_new\n", "S1 = s1_new\n", "H1 = h1_new/1000.0\n", "\n", "X, Y = np.meshgrid(x_new, y_new)\n", "\n", "Zlevels = np.array([0.5,0.75])\n", "Glevels = np.array([25.0])\n", "Qlevels = np.array([200.0, 400.0])\n", "Hlevels = np.array([20.0,40.0])\n", "\n", "fig = plt.figure()\n", "fig.set_size_inches([3.25,3.25])\n", "plt.ion()\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' } \n", "plt.rcParams.update(params)\n", "\n", "ZCS1 = plt.contour(X, Y, np.transpose(Z1), levels=Zlevels, colors='black')\n", "plt.clabel(ZCS1, inline=1, fontsize=10, colors='black',fmt='%.2f',inline_spacing=1)\n", "ZCS1.collections[0].set_linewidths(1.50)\n", "ZCS1.collections[1].set_linewidths(1.50)\n", "ZCS1.collections[0].set_label(r'$TCW, deg.$')\n", "\n", "GCS1 = plt.contour(X, Y, np.transpose(G1), levels=Glevels, colors='blue',linestyles='dashed')\n", "Glabels=plt.clabel(GCS1, inline=1, fontsize=10, colors='blue',fmt='%d',inline_spacing=0)\n", "GCS1.collections[0].set_linewidths(1.50)\n", "\n", "GCS1.collections[0].set_label(r'$g$'+r'-load')\n", "\n", "QCS1 = plt.contour(X, Y, np.transpose(Q1), levels=Qlevels, colors='red',linestyles='dotted',zorder=11)\n", "plt.clabel(QCS1, inline=1, fontsize=10, colors='red',fmt='%d',inline_spacing=0)\n", "QCS1.collections[0].set_linewidths(1.50)\n", "QCS1.collections[1].set_linewidths(1.50)\n", "QCS1.collections[0].set_label(r'$\\dot{q}$'+', '+r'$W/cm^2$')\n", "\n", "\n", "HCS1 = plt.contour(X, Y, np.transpose(H1), levels=Hlevels, colors='xkcd:brown',linestyles='dashdot')\n", "Hlabels=plt.clabel(HCS1, inline=1, fontsize=10, colors='xkcd:brown',fmt='%d',inline_spacing=0)\n", "HCS1.collections[0].set_linewidths(1.75)\n", "HCS1.collections[1].set_linewidths(1.75)\n", "HCS1.collections[0].set_label(r'$Q$'+', '+r'$kJ/cm^2$')\n", "\n", "for l in Hlabels:\n", " l.set_rotation(-90)\n", "for l in Glabels:\n", " l.set_rotation(-90)\n", "\n", "\n", "#SCS1 = plt.contour(X, Y, transpose(S1), levels=Slevels, colors='cyan')\n", "#plt.clabel(SCS1, inline=1, fontsize=10, colors='xkcd:neon green',fmt='%.1f',inline_spacing=1)\n", "#SCS1.collections[0].set_linewidths(1.75)\n", "#SCS1.collections[0].set_label(r'$Peak$'+r' '+r'$stag. pressure,atm$')\n", "\n", "plt.xlabel(\"Arrival \"+r'$V_\\infty$'+r', km/s' ,fontsize=10)\n", "plt.ylabel(r'$\\beta_2$'+' / '+r'$ \\beta_1 $' ,fontsize=10)\n", "plt.xticks(fontsize=10)\n", "plt.yticks(np.array([ 1, 20, 40, 60, 80, 100]),fontsize=10)\n", "ax = plt.gca()\n", "ax.tick_params(direction='in')\n", "ax.yaxis.set_ticks_position('both')\n", "ax.xaxis.set_ticks_position('both')\n", "plt.legend(loc='upper right', fontsize=8)\n", "\n", "\n", "dat0 = ZCS1.allsegs[1][0]\n", "x1,y1=dat0[:,0],dat0[:,1]\n", "F1 = interpolate.interp1d(x1, y1, kind='linear',fill_value='extrapolate', bounds_error=False)\n", "\n", "dat1 = QCS1.allsegs[0][0]\n", "x2,y2=dat1[:,0],dat1[:,1]\n", "F2 = interpolate.interp1d(x2, y2, kind='linear',fill_value='extrapolate', bounds_error=False)\n", "\n", "dat0a = ZCS1.allsegs[0][0]\n", "x1a,y1a=dat0a[:,0],dat0a[:,1]\n", "F1a = interpolate.interp1d(x1a, y1a, kind='linear',fill_value='extrapolate', bounds_error=False)\n", "\n", "\n", "x3 = np.linspace(0,30,301)\n", "y3 = F1(x3)\n", "y4 = F2(x3)\n", "y4a =F1a(x3)\n", "\n", "y8 = np.minimum(y3,y4)\n", "\n", "\n", "plt.fill_between(x3, y3, y4, where=y3<=y4, color='xkcd:neon green')\n", "plt.fill_between(x3, y4a, y8, where=y4a<=y8, color='xkcd:bright yellow')\n", "\n", "plt.xlim([0.0,30.0])\n", "plt.ylim([1.0,100])\n", "\n", "\n", "plt.savefig('../plots/girijaYe2019c-fig16.png',bbox_inches='tight')\n", "plt.savefig('../plots/girijaYe2019c-fig16.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../plots/girijaYe2019c-fig16.eps', dpi=300,bbox_inches='tight')\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 10, "metadata": { "image/png": { "width": 600 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename='../plots/girijaYe2020c-higher-res.png', width=600)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plots are now saved in plots/girijaYe2019c." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Congratulations!** You could now create the results for referenced journal article in less than a day. It took nearly a year for the authors to put everything together to create these results!" ] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }