{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Create input se files for CO shell merger ``mppnp_hif`` simulations (Python 3)\n", "This notebook reads in stellar structure data of cycle \"model_cycle\" from both MESA \"profile\" and its corresponding ``mppnp`` post-processed se file \n", "and uses them to generate a parametric CO shell merger model that is written into\n", "a sequence of se files for a number of cycles given by \"cycles\" variable" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Original: ```~/user/scratch14_wendi3/dpa/convreac_setup/write_se_cycles_parametric_COshellmerger.ipynb```" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab ipympl \n", "\n", "from nugridpy import nugridse as mp\n", "from nugridpy import mesa as ms\n", "from nugridpy import utils as ut\n", "from nugridpy import ascii_table as at\n", "\n", "# uncommitted version that adds self.el_abu_hash and self.el_name \n", "sys.path.insert(1,\"/user/scratch14_wendi3/dpa/NuSE/write_se\")\n", "import sewrite as sw\n", "\n", "# physical constants\n", "import scipy.constants as sc\n", "\n", "from astropy import units as un\n", "from astropy import constants as cc\n", "\n", "from scipy.interpolate import Akima1DInterpolator" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Provide path to and cycles \"profile\" files that contains the 1st and 2nd MESA star models with the O convective shell to read in" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Right before merger onsets properties" ] }, { "cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "423 in profiles.index file ...\n", "Found and load nearest profile for cycle 9150\n", "reading profile/data/nugrid/data/set1ext/set1.2/see_wind/M15.0Z2.0e-02/LOGS/log192.data ...\n", " reading ...100% \n", "\n", "Closing profile tool ...\n" ] } ], "source": [ "# Ritter+2018 M=15 Z=0.02 model\n", "mesa_dir = \"/data/nugrid/data/set1ext/set1.2/see_wind/M15.0Z2.0e-02/LOGS\"\n", "model_cycle_1 = 9160\n", "\n", "# this model seems to have been used the model used by Jones+2017\n", "# unfortunately, this model turns out to have not been post-processed\n", "#mesa_dir = \"/data/ASDR/CSA/Stellar_models/O-shell-M25/M25Z0.02/LOGS\"\n", "#model_cycle_1 = 28500\n", "\n", "# this seems to be an analogue of Sam's model \n", "#mesa_dir = \"/data/ASDR/NuGrid/data/set1ext/set1.2/see_wind/M25.0Z2.0e-02/LOGS\"\n", "#model_cycle_1 = 11000\n", "\n", "mesa = ms.mesa_profile(mesa_dir, model_cycle_1)" ] }, { "cell_type": "code", "execution_count": 109, "metadata": {}, "outputs": [], "source": [ "mass_1 = mesa.get('mass')\n", "tem_1 = 10**mesa.get('logT')\n", "rho_1 = 10**mesa.get('logRho')\n", "deff_1 = 10.**mesa.get('log_D_mix')\n", "rad_1 = 10.**mesa.get('logR')" ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [], "source": [ "idx11 = np.argmin(np.abs(mass_1-1.55))\n", "idx12 = np.argmin(np.abs(mass_1-2))\n", "\n", "idx21 = np.argmin(np.abs(mass_2-1.55))\n", "idx22 = np.argmin(np.abs(mass_2-2))" ] }, { "cell_type": "code", "execution_count": 118, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.03775232044698009" ] }, "execution_count": 118, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(rho_1[idx11] - rho_2[idx21])/rho_1[idx11]" ] }, { "cell_type": "code", "execution_count": 121, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1.0, 1000000000000000.0)" ] }, "execution_count": 121, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "810b41d703c54e8bbe63ccb32d7f467d", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ifig=10; plt.close(ifig);plt.figure(ifig)\n", "\n", "plt.plot(mass_1, deff_1)\n", "plt.plot(mass_2, deff_2)\n", "plt.xlim(1.5,2)\n", "plt.ylim(1,1e15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Conditions to write to h5 files" ] }, { "cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "423 in profiles.index file ...\n", "Found and load nearest profile for cycle 9200\n", "reading profile/data/nugrid/data/set1ext/set1.2/see_wind/M15.0Z2.0e-02/LOGS/log193.data ...\n", " reading ...100% \n", "\n", "Closing profile tool ...\n" ] } ], "source": [ "############### Read profile file from mesa_dir\n", "\n", "mesa_dir = \"/data/nugrid/data/set1ext/set1.2/see_wind/M15.0Z2.0e-02/LOGS\"\n", "model_cycle_2 = 9200\n", "\n", "#mesa_dir = \"/data/ASDR/CSA/Stellar_models/O-shell-M25/M25Z0.02/LOGS\"\n", "#model_cycle_2 = 31000\n", "\n", "#mesa_dir = \"/data/ASDR/NuGrid/data/set1ext/set1.2/see_wind/M25.0Z2.0e-02/LOGS\"\n", "#model_cycle_2 = 13000\n", "\n", "mesa = ms.mesa_profile(mesa_dir,model_cycle_2)" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [], "source": [ "mass_2 = mesa.get('mass')\n", "rad_2 = 10.**mesa.get('logR')\n", "tem_2 = 10.**mesa.get('logT')\n", "rho_2 = 10.**mesa.get('logRho')\n", "deff_2 = 10.**mesa.get('log_D_mix')\n", "deff_14_2 = (1./14.)*mesa.get('log_D_mix')\n", "xc12_2 = mesa.get('c12')\n", "xo16_2 = mesa.get('o16')\n", "xsi28_2 = mesa.get('si28')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create new convective profile based on Jones+2017 O-shell burning\n", "Reference:\n", "> Jones, S., R. Andrassy, S. Sandalski, A. Davis, P. Woodward, and F. Herwig. “Idealized Hydrodynamic Simulations of Turbulent Oxygen-Burning Shell Convection in 4π Geometry.” Monthly Notices of the Royal Astronomical Society 465 (March 1, 2017): 2991–3010. https://doi.org/10.1093/mnras/stw2783.\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "vmlt = np.power(10, mesa.get('log_conv_vel'))\n", "hp = (mesa.get('pressure_scale_height') * cc.R_sun).cgs.value\n", "radius = (mesa.get('radius') * cc.R_sun).cgs.value\n", "\n", "alpha = 1.6\n", "ell = alpha * hp\n", "Dconv_MLT = 1/3 * vmlt * ell" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The top mass coordinate of the O-shell is 1.998308198291775 \n", "The bottom mass coordinate of the O-shell is 1.5510274761568053 \n", "The total mass of the O-shell is 0.4472807221349697 \n", "The total number of mass zones for the O-shell is 422\n", "The maximum log10(D_conv) in the O-shell is 15.022376943978259\n" ] } ], "source": [ "# identify the location of the O-shell\n", "\n", "selected_Oshell_mass = []\n", "selected_Oshell_rho = []\n", "selected_Oshell_temp = []\n", "selected_Oshell_radius = []\n", "selected_Oshell_dcoeff = []\n", "\n", "i1 = None\n", "found = False\n", "for i in range(len(mass_2)):\n", " # Selection criteria: 10% Si-28, 10% O-16, convective\n", " if xsi28_2[i] > 0.1 and xo16_2[i] > 0.1 and deff_2[i] > 1e14:\n", " \n", " # identifies the first index\n", " if not found:\n", " i1 = i \n", " found = True\n", " \n", " selected_Oshell_mass .append(mass_2[i])\n", " selected_Oshell_radius.append(radius[i]/1e8)\n", " selected_Oshell_temp .append(tem_2[i])\n", " selected_Oshell_rho .append(rho_2[i])\n", " selected_Oshell_dcoeff.append(deff_2[i])\n", "\n", "# because the indexing starts from the top\n", "iOtop = i1\n", "iObot = i1+len(selected_Oshell_mass)-1\n", "\n", "ibot = np.where(mass_2 == selected_Oshell_mass[-1])[0][0]\n", "itop = np.where(mass_2 == selected_Oshell_mass[0])[0][0]\n", "\n", "# bottom radial coordinate of the O-shell\n", "r0 = selected_Oshell_radius[-1] * 1e8\n", "\n", "imaxD = np.array(list(range(itop,ibot+1)))[ell[itop:ibot+1] > radius[itop:ibot+1] - r0][0]\n", "maxOshellD = deff_2[imaxD]\n", "\n", "\n", "print ('The top mass coordinate of the O-shell is', selected_Oshell_mass[0],'\\nThe bottom mass coordinate of the O-shell is',selected_Oshell_mass[-1],\n", " '\\nThe total mass of the O-shell is',selected_Oshell_mass[0]-selected_Oshell_mass[-1],\n", " '\\nThe total number of mass zones for the O-shell is',len(selected_Oshell_mass))\n", "\n", "print('The maximum log10(D_conv) in the O-shell is',np.log10(maxOshellD))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2260 2681 2260 2730\n" ] } ], "source": [ "# These are different because itop-ibot are the actual indices matched \n", "# whereas iOtop-iObot are the number of indices that match the criteria\n", "print(iOtop, iObot, itop, ibot)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We introduce a flattening point because we actually don't trust the predictions of MLT for the specific shape of the diffusion coefficient profile as it's evolving too rapidly for MLT to be a reliable prediction." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'radius (Mm)')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "547eebf0118d488985e31e3183b07d9c", "version_major": 2, "version_minor": 0 }, "image/png": 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\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ifig=1;plt.close(ifig);plt.figure(ifig)\n", "\n", "\n", "plt.semilogy(radius/1e8, Dconv_MLT, zorder=1, color='navy', marker='^', markersize=2, alpha=0.5, label=r'$D_{\\mathrm{MLT}} = \\frac{1}{3}v_{\\mathrm{MLT}}\\times\\ell$') \n", "\n", "plt.semilogy(selected_Oshell_radius, selected_Oshell_dcoeff, zorder=1, color='tab:red', marker='^', markersize=2, alpha=0.5, label=r'Selected $D_{\\mathrm{conv}}$')\n", "\n", "plt.scatter(radius[imaxD]/1e8, maxOshellD, marker='*', s=100, edgecolor='black', facecolor='white', label='Flattening point',zorder=100)\n", "\n", "vlines(selected_Oshell_radius[0],1e0,1e20,linestyles='dashed', color='black', zorder=1)\n", "vlines(selected_Oshell_radius[-1],1e0,1e20,linestyles='dashed', color='black', zorder=1)\n", "xlim(selected_Oshell_radius[-1] - 0.5, selected_Oshell_radius[0] + 0.5) # M15Z02\n", "\n", "plt.legend(frameon=False, loc='lower center')\n", "plt.ylim(1e12, 1e16)\n", "plt.ylabel(r'$D_{\\mathrm{conv}} ~~(\\mathrm{cm^2~s^{-1}})$', fontsize='large')\n", "plt.xlabel(r'radius (Mm)', fontsize='large')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jones+2017 say that to calculate a $D_{\\mathrm{conv}}$ that qualitatively matches the predictions from PPMstar using the MLT predicted velocities, we should use the following formula.\n", "$$ D_{\\mathrm{RCMD}} = v_{\\mathrm{MLT}} \\times \\min(\\ell, |r-r_0|) $$\n", "where $r_0$ is the lower radial coordinate of the O-shell.\n", "\n", "We will adopt this, but retain a factor of $\\frac{1}{3}$ and boost from that. The base case from MLT will be labelled as such, and those following the prescription of Jones+2017 will be labelled with PPM_boost." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "Dconv_profiles = {'MLT': [],\n", " 'PPM': [],\n", " 'PPM3': [],\n", " 'PPM10': [],\n", " 'PPM50': [],\n", " 'partial': [],\n", " 'partial_strong': [],\n", " 'gosh': [],\n", " 'gosh_strong': []}\n", " \n", "\n", "for i in range(itop, ibot+1):\n", " \n", " r = radius[i]\n", " \n", " # MLT profile\n", " \n", " D_mlt = 1/3 * vmlt[i] * ell[i] if (i > imaxD) else maxOshellD\n", " \n", " Dconv_profiles['MLT'].append(D_mlt)\n", " \n", " # 3-D inspired profile\n", " \n", " for boost, key in zip([1, 3, 10, 50], ['PPM', 'PPM3', 'PPM10', 'PPM50']):\n", " \n", " D_ppm = np.where(\n", " i > imaxD, \n", " boost * (1/3) * vmlt[i] * np.minimum(ell[i], np.abs(r - r0)), \n", " boost * maxOshellD # flatten\n", " ) \n", " \n", " if D_ppm == 0: D_ppm = 1e-99\n", " \n", " Dconv_profiles[key].append(D_ppm)\n", " \n", " # GOSH profile\n", " \n", " def iG(D_mlt, r, a=7.5, w=1/4, c=1e14):\n", " # 1 - Gaussian\n", " \n", " # c - desired depth\n", " # w - width\n", " # a - the position\n", " \n", " #a = 7.5 # Mm \n", " #w = 1/4 # Mm\n", " #c = 9e14 #cm^2/s\n", " \n", " x = r/1e8\n", " \n", " q = D_mlt - c\n", " \n", " return D_mlt - q*np.exp(-(x-a)**2/w**2)\n", " \n", " \n", " D_partial = iG(D_mlt, r)\n", " D_partialstrong = iG(D_mlt, r, c=1e13)\n", " D_gosh = iG(D_mlt, r, a=4.95)\n", " D_goshstrong = iG(D_mlt, r, a=4.95, c=1e13)\n", "\n", " Dconv_profiles['partial'].append(D_partial)\n", " Dconv_profiles['partial_strong'].append(D_partialstrong)\n", " Dconv_profiles['gosh'].append(D_gosh)\n", " Dconv_profiles['gosh_strong'].append(D_goshstrong)\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from nugridpy import utils as ut" ] }, { "cell_type": "code", "execution_count": 114, "metadata": {}, "outputs": [ { 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", 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\n", " Figure\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ifig=100;plt.close(ifig);plt.figure(ifig,figsize=(6,4))\n", "\n", "ax = plt.gca()\n", "\n", "for artist in ax.collections:\n", " artist.set_rasterized(True)\n", "\n", "ax.semilogy(radius/1e8, Dconv_MLT, zorder=1, color=ut.linestylecb(0)[2], marker='^', alpha=0.5, markevery=5, label=r'$D_{\\mathrm{MLT}}$ (MESA)') \n", "ax.semilogy(radius[itop:ibot+1]/1e8, Dconv_profiles['MLT'], zorder=1, color=ut.linestylecb(1)[2], label=r'Smoothed $D_{\\mathrm{MLT}}$')\n", "\n", "vlines(selected_Oshell_radius[0],1e0,1e20,linestyles='dashed', color='black', zorder=1)\n", "vlines(selected_Oshell_radius[-1],1e0,1e20,linestyles='dashed', color='black', zorder=1)\n", "xlim(selected_Oshell_radius[-1] - 0.5, selected_Oshell_radius[0] + 0.5) # M15Z02\n", "\n", "ax.set_ylim(1e13, 2e15)\n", "ax.set_ylabel(r'$D_{\\mathrm{conv}} ~~(\\mathrm{cm^2~s^{-1}})$', fontsize=14)\n", "ax.set_xlabel(r'Radius (Mm)', fontsize=14)\n", "\n", "ax.tick_params(axis='x', labelsize=12)\n", "ax.tick_params(axis='y', labelsize=12)\n", "\n", "axell = plt.twinx()\n", "\n", "axell.plot(radius/1e8, ell/1e8, color='dimgrey', linestyle='dashed', marker='o', markevery=40, label=r'$\\ell$')\n", "axell.set_ylim(1, 5)\n", "axell.set_yticks([1,2,3,4,5])\n", "axell.set_ylabel(r\"$\\ell$ (Mm)\",fontsize=14)\n", "\n", "axell.tick_params(axis='y', labelsize=12)\n", "\n", "handles1, labels1 = ax.get_legend_handles_labels()\n", "handles2, labels2 = axell.get_legend_handles_labels()\n", "\n", "ax.legend(handles2 + handles1, labels2 + labels1, frameon=False, loc='lower center', fontsize=12)\n", "\n", "plt.tight_layout()\n", "\n", "plt.savefig(\"Dmlt_forced.pdf\", format=\"pdf\", bbox_inches=\"tight\", dpi=300)" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "783563ea05644bd68378ae2ed4c66872", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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label=r'Stronger $D_{\\mathrm{GOSH}}$')\n", "i=8\n", "plt.semilogy(radius[itop:ibot+1]/1e8, Dconv_profiles['partial'], zorder=4, ls=ut.linestylecb(i)[0], marker=ut.linestylecb(i)[1], \\\n", " color=ut.linestylecb(i)[2],markevery=ut.linestylecb(i,a=35,b=7)[3], lw=1, label=r'$D_{\\mathrm{Partial}}$')\n", "i=9\n", "plt.semilogy(radius[itop:ibot+1]/1e8, Dconv_profiles['partial_strong'], zorder=3, ls=ut.linestylecb(i)[0], marker=ut.linestylecb(i)[1], \\\n", " color=ut.linestylecb(i)[2],markevery=ut.linestylecb(i,a=35,b=7)[3], lw=1, label=r'Stronger $D_{\\mathrm{Partial}}$')\n", "\n", "\n", "xlim(selected_Oshell_radius[-1], selected_Oshell_radius[0]) # M15Z02\n", "\n", "plt.legend(frameon=False, loc='upper center', ncol=2, fontsize=14)\n", "plt.ylim(5e12, 2e16)\n", "plt.ylabel(r'$D_{\\mathrm{conv}} ~~(\\mathrm{cm^2~s^{-1}})$', fontsize=14)\n", "plt.xlabel(r'Radius (Mm)', fontsize=14)\n", "\n", "\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "ax = plt.gca()\n", "\n", "for artist in ax.get_children():\n", " if isinstance(artist, (plt.Line2D)):\n", " artist.set_rasterized(True)\n", "\n", "plt.tight_layout()\n", "\n", "plt.savefig(\"Dmlt_partial_gosh.pdf\", format=\"pdf\", bbox_inches=\"tight\", dpi=300)" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "ef2759296fa44286b1641ea20e347a33", "version_major": 2, "version_minor": 0 }, "image/png": 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ifig=101;plt.close(ifig);plt.figure(ifig,figsize=(6,4))\n", "\n", "i=1\n", "plt.semilogy(radius[itop:ibot+1]/1e8, Dconv_profiles['MLT'], zorder=5, ls=ut.linestylecb(i)[0], marker=ut.linestylecb(i)[1], \\\n", " color=ut.linestylecb(i)[2],markevery=ut.linestylecb(i,a=70,b=7)[3], lw=1, label=r'$D_{\\mathrm{MLT}}$')\n", "i=2\n", "plt.semilogy(radius[itop:ibot+1]/1e8, Dconv_profiles['PPM'], zorder=4, ls=ut.linestylecb(i)[0], marker=ut.linestylecb(i)[1], \\\n", " color=ut.linestylecb(i)[2],markevery=ut.linestylecb(i,a=70,b=7)[3], lw=1, label=r'$D_{\\mathrm{3D\\mathrm{-}insp.}}$')\n", "i=3\n", "plt.semilogy(radius[itop:ibot+1]/1e8, Dconv_profiles['PPM3'], zorder=3, ls=ut.linestylecb(i)[0], marker=ut.linestylecb(i)[1], \\\n", " color=ut.linestylecb(i)[2],markevery=ut.linestylecb(i,a=70,b=7)[3], lw=1, label=r'$3\\times D_{\\mathrm{3D\\mathrm{-}insp.}}$')\n", "i=4\n", "plt.semilogy(radius[itop:ibot+1]/1e8, Dconv_profiles['PPM10'], zorder=4, ls=ut.linestylecb(i)[0], marker=ut.linestylecb(i)[1], \\\n", " color=ut.linestylecb(i)[2],markevery=ut.linestylecb(i,a=70,b=7)[3], lw=1, label=r'$10\\times D_{\\mathrm{3D\\mathrm{-}insp.}}$')\n", "i=5\n", "plt.semilogy(radius[itop:ibot+1]/1e8, Dconv_profiles['PPM50'], zorder=3, ls=ut.linestylecb(i)[0], marker=ut.linestylecb(i)[1], \\\n", " color=ut.linestylecb(i)[2],markevery=ut.linestylecb(i,a=70,b=7)[3], lw=1, label=r'$50\\times D_{\\mathrm{3D\\mathrm{-}insp.}}$')\n", "\n", "\n", "xlim(selected_Oshell_radius[-1], selected_Oshell_radius[0]) # M15Z02\n", "\n", "plt.legend(frameon=False, loc='lower center', ncol=2, fontsize=14)\n", "plt.ylim(1e12, 1e17)\n", "plt.ylabel(r'$D_{\\mathrm{conv}} ~~(\\mathrm{cm^2~s^{-1}})$', fontsize=14)\n", "plt.xlabel(r'Radius (Mm)', fontsize=14)\n", "\n", "\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "ax = plt.gca()\n", "\n", "for artist in ax.get_children():\n", " if isinstance(artist, (plt.Line2D)):\n", " artist.set_rasterized(True)\n", "\n", "plt.tight_layout()\n", "\n", "plt.savefig(\"Dmlt_downturn.pdf\", format=\"pdf\", bbox_inches=\"tight\", dpi=300)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MLT log10(Dconv): [14.03546494 14.11370231 14.19824787 14.26582164]\n", "PPM-inspired log10(Dconv): [-99. 10.79353517 11.34101432 11.68431433]\n" ] } ], "source": [ "print('MLT log10(Dconv):', np.log10(Dconv_profiles['MLT'][-4:][::-1]))\n", "print('PPM-inspired log10(Dconv):', np.log10(Dconv_profiles['PPM'][-4:][::-1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interpolation\n", "\n", "Now, we will interpolate the data so that it's on an equi-distant mass grid with resolution turned up as the bottom of the convective boundary to properly capture the behaviour there so that we can write it out into SE files for mppnp to use. This step is important to do explicitly because the output data in MESA is definitely not equi-distant." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a3d8a1ee83184ddf9e644272db3922c5", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
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\n", " Figure\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ifig=3;plt.close(ifig);plt.figure(ifig, figsize=(14,12))\n", "\n", "for case, linestyle, marker, color, zorder, label in zip(['MLT', 'PPM', 'PPM3', 'PPM10', 'PPM50'],\n", " ['--', 'solid', 'solid', 'solid', 'solid'],\n", " ['None', 'd', '^', 'o', 's'],\n", " ['tab:blue', 'tab:orange', 'tab:green', 'tab:red','tab:purple'],\n", " [2,1,1,1,1],\n", " [r'$D_{\\mathrm{MLT}}$', r'$D_{\\mathrm{3D-insp.}}$', r'$3\\times D_{\\mathrm{3D-insp.}}$', r'$10\\times D_{\\mathrm{3D-insp.}}$', r'$50\\times D_{\\mathrm{3D-insp.}}$']\n", " ):\n", "\n", "#for case, linestyle, marker, color, zorder, label, lw in zip(['MLT', 'partial', 'partial_strong', 'gosh', 'gosh_strong'],\n", "# ['--', 'solid', 'solid', 'solid', 'solid'],\n", "# ['None', 'o', 'None', '^','None'],\n", "# ['tab:blue','tab:brown','mediumturquoise','tab:pink','lime'],\n", "# [2,2,1,2,1],\n", "# [r'$D_{\\mathrm{MLT}}$', r'$D_{\\mathrm{Partial}}$', r'Deeper $D_{\\mathrm{Partial}}$', r'$D_{\\mathrm{GOSH-like}}$', r'Deeper $D_{\\mathrm{GOSH-like}}$'],\n", "# [6,3,6,3,6]\n", "# ):\n", " \n", " Dconv_selected = Dconv_profiles[case]\n", "\n", " equi_mass_grid = np.linspace(mass_2[ibot], mass_2[itop], num=400)\n", " # the resolution is going to be turned up at the bottom of the array (note we have to flip it so that it will be monotonically increasing with index; same deal with the Akima interpolator)\n", " extras = (np.array(selected_Oshell_mass[::-1])[np.array(selected_Oshell_mass[::-1]) < equi_mass_grid[1]])\n", " equi_mass_grid = np.concatenate((extras, equi_mass_grid[1:]))\n", "\n", " rho_interp = Akima1DInterpolator(mass_2[itop:ibot+1][::-1], rho_2[itop:ibot+1][::-1])(equi_mass_grid)\n", " temp_interp = Akima1DInterpolator(mass_2[itop:ibot+1][::-1], tem_2[itop:ibot+1][::-1])(equi_mass_grid)\n", " dcoeff_interp = Akima1DInterpolator(mass_2[itop:ibot+1][::-1], Dconv_selected[::-1])(equi_mass_grid)\n", " radius_interp = Akima1DInterpolator(mass_2[itop:ibot+1][::-1], radius[itop:ibot+1][::-1])(equi_mass_grid)\n", " \n", " mass_O = equi_mass_grid[::-1]\n", " tem_O = temp_interp[::-1]\n", " deff_O = dcoeff_interp[::-1]\n", " rho_O = rho_interp[::-1]\n", " rad_O = radius_interp[::-1]\n", " \n", " plt.semilogy(rad_O/1e8, deff_O, zorder=zorder, color=color, lw=lw, markersize=15, markevery=20, linestyle=linestyle, label=label, marker=marker) \n", "\n", "\n", "vlines(selected_Oshell_radius[0],1e0,1.5e17,linestyles='dashed', color='black', zorder=1, lw=4)\n", "vlines(selected_Oshell_radius[-1],1e0,1.5e17,linestyles='dashed', color='black', zorder=1, lw=4)\n", "xlim(selected_Oshell_radius[-1] - 0.5, selected_Oshell_radius[0] + 0.5) # M15Z02\n", "\n", "#plt.legend(frameon=False, loc='upper center', ncol=2, fontsize=35, handletextpad=0.5, columnspacing=0.5)\n", "plt.legend(frameon=False, loc='lower center', ncol=2, fontsize=35, handletextpad=0.5, columnspacing=0.5)\n", "#plt.ylim(5e12, 8e15)\n", "plt.ylim(1e12,1e17)\n", "plt.ylabel(r'$D_{\\mathrm{conv}} ~~(\\mathrm{cm^2~s^{-1}})$', fontsize=35)\n", "plt.xlabel(r'radius (Mm)', fontsize=35)\n", "\n", "\n", "plt.xticks(fontsize=35)\n", "plt.yticks(fontsize=35)\n", "\n", "\n", "ax = plt.gca()\n", "\n", "\n", "for artist in ax.get_children():\n", " if isinstance(artist, (plt.Line2D)):\n", " artist.set_rasterized(True)\n", "\n", "plt.tight_layout()\n", "\n", "plt.savefig(\"All_Dconv.pdf\", format=\"pdf\", bbox_inches=\"tight\", dpi=300)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "# select which diffusion coefficient profile we will be considering from now on here\n", "\"\"\"\n", "SELECT MIXING CASE RIGHT NOW\n", "\"\"\"\n", "Dconv_selected = Dconv_profiles['gosh_strong']\n", "\n", "equi_mass_grid = np.linspace(mass_2[ibot], mass_2[itop], num=400)\n", "# the resolution is going to be turned up at the bottom of the array (note we have to flip it so that it will be monotonically increasing with index; same deal with the Akima interpolator)\n", "extras = (np.array(selected_Oshell_mass[::-1])[np.array(selected_Oshell_mass[::-1]) < equi_mass_grid[1]])\n", "equi_mass_grid = np.concatenate((extras, equi_mass_grid[1:]))\n", "\n", "rho_interp = Akima1DInterpolator(mass_2[itop:ibot+1][::-1], rho_2[itop:ibot+1][::-1])(equi_mass_grid)\n", "temp_interp = Akima1DInterpolator(mass_2[itop:ibot+1][::-1], tem_2[itop:ibot+1][::-1])(equi_mass_grid)\n", "dcoeff_interp = Akima1DInterpolator(mass_2[itop:ibot+1][::-1], Dconv_selected[::-1])(equi_mass_grid)\n", "radius_interp = Akima1DInterpolator(mass_2[itop:ibot+1][::-1], radius[itop:ibot+1][::-1])(equi_mass_grid)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The number of mass zones prepared for the SE files is 404\n" ] } ], "source": [ "# you have to flip this around for mppnp\n", "mass_O = equi_mass_grid[::-1]\n", "tem_O = temp_interp[::-1]\n", "deff_O = dcoeff_interp[::-1]\n", "rho_O = rho_interp[::-1]\n", "rad_O = radius_interp[::-1]\n", "\n", "print('The number of mass zones prepared for the SE files is', len(mass_O)) " ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "88711548d7a348c29ac20f985c9d5be2", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ifig=199999;plt.close(ifig);plt.figure(ifig)\n", "\n", "plt.scatter(mass_O, np.log10(deff_O), s=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare the interpolated values with the MESA profiles at the cycle right before the onset of merger (note that the diffusion coefficient profile will be a bit different because it increase as the merger onsets). This is a thing to keep in mind because we are grabbing the species from the pre-onset model and using the stellar structure of the just-as-onset model." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "63770f9c023f4961aed32e51f0cf1d6f", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
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\n", " Figure\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ifig=4;plt.close(ifig);\n", "\n", "fig, axs = plt.subplots(1,3,num=ifig,sharex=True,figsize=(10,5))\n", "\n", "axs[0].set_ylabel(r'$D_{\\mathrm{conv}} ~~(cm^2~s^{-1})$')\n", "axs[0].semilogy(mass_1, deff_1, label='MESA $D_{\\mathrm{conv}}$')\n", "axs[0].semilogy(mass_O, deff_O, linestyle='--', label='Int. $D_{\\mathrm{conv}}$', zorder=2)\n", "axs[0].set_ylim(1e12, 1e17)\n", "\n", "axs[1].set_ylabel(r'$\\rho ~~(\\mathrm{g}~\\mathrm{cm}^{-3})$')\n", "axs[1].semilogy(mass_1, rho_1, label=r'MESA $ \\rho $')\n", "axs[1].semilogy(mass_O, rho_O, linestyle='--', label=r'Int. $ \\rho $ ', zorder=2)\n", "axs[1].set_ylim(1e5, 1e7)\n", "\n", "axs[2].set_ylabel(r'Temperature (K)')\n", "axs[2].semilogy(mass_1, tem_1, label='MESA $T$')\n", "axs[2].semilogy(mass_O, tem_O, linestyle='--', label='Int. $T$', zorder=2)\n", "axs[2].set_ylim(1e9, 4e9)\n", "\n", "\n", "for ax in axs:\n", " ax.vlines(mass_O[0],1e-1,1e20, color='black',linestyles='--')\n", " ax.vlines(mass_O[-1],1e-1,1e20, color='black',linestyles='--')\n", " ax.legend(frameon=False, loc='upper center')\n", " ax.set_xlabel(r'Mass coordinate ($\\mathrm{M_\\odot}$)')\n", " ax.set_xlim(1.5,2.1) # M15Z02\n", " #xlim(1.15,1.92) # Sam's M25Z02\n", " #xlim(1.4,3.0) # M25Z02\n", " \n", "ifig=5;plt.close(ifig);\n", "\n", "fig, axs = plt.subplots(1,3,num=ifig,sharex=True,figsize=(10,5))\n", "\n", "axs[0].set_ylabel(r'$D_{\\mathrm{conv}} ~~(cm^2~s^{-1})$')\n", "axs[0].semilogy((rad_1* cc.R_sun).cgs.value, deff_1, label='MESA $D_{\\mathrm{conv}}$')\n", "axs[0].semilogy(rad_O, deff_O, linestyle='--', label='Int. $D_{\\mathrm{conv}}$', zorder=2)\n", "axs[0].set_ylim(1e12, 1e17)\n", "\n", "axs[1].set_ylabel(r'$\\rho ~~(\\mathrm{g}~\\mathrm{cm}^{-3})$')\n", "axs[1].semilogy((rad_1* cc.R_sun).cgs.value, rho_1, label=r'MESA $ \\rho $')\n", "axs[1].semilogy(rad_O, rho_O, linestyle='--', label=r'Int. $ \\rho $ ', zorder=2)\n", "axs[1].set_ylim(1e5, 1e7)\n", "\n", "axs[2].set_ylabel(r'Temperature (K)')\n", "axs[2].semilogy((rad_1* cc.R_sun).cgs.value, tem_1, label='MESA $T$')\n", "axs[2].semilogy(rad_O, tem_O, linestyle='--', label='Int. $T$', zorder=2)\n", "axs[2].set_ylim(1e9, 4e9)\n", "\n", "\n", "for ax in axs:\n", " ax.vlines(rad_O[0] * cc.R_sun.value / 1e6,1e-1,1e20, color='black',linestyles='--')\n", " ax.vlines(rad_O[-1] * cc.R_sun.value / 1e6,1e-1,1e20, color='black',linestyles='--')\n", " ax.legend(frameon=False, loc='upper center')\n", " ax.set_xlabel(r'Radial coordinate (cm)')\n", " ax.set_xlim(2e8,9e8) # M15Z02\n", " #xlim(1.15,1.92) # Sam's M25Z02\n", " #xlim(1.4,3.0) # M25Z02" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e86fc7a295444fa2a73871e9ed22bf32", "version_major": 2, "version_minor": 0 }, "image/png": 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ifig = 10000\n", "plt.close(ifig)\n", "plt.figure(ifig, figsize=(14, 12))\n", "\n", "plt.plot(mass_O, tem_O / 1e9, lw=6, zorder=2)\n", "\n", "ileft = np.argmin(np.abs(tem_O / 1e9 - 1.5)) # Index where temperature is closest to 1.5 GK\n", "iright = np.argmax(tem_O) # Index where temperature is maximum\n", "\n", "plt.axvspan(mass_O[ileft], mass_O[iright], color='lightgrey', alpha=0.5, zorder=1, label=r'$1.5~\\mathrm{GK} \\leq T \\leq 3~\\mathrm{GK}$')\n", "plt.ylabel('Temperature (GK)', fontsize=35)\n", "plt.xlabel(r'Mass ($M_\\odot$)', fontsize=35)\n", "plt.xlim(mass_O[-1], mass_O[0])\n", "plt.xticks([1.6,1.7,1.8,1.9,2.0],fontsize=35)\n", "plt.yticks(fontsize=35)\n", "\n", "plt.legend(loc='upper right', fontsize=35, frameon=True)\n", "\n", "ax = plt.gca()\n", "for artist in ax.get_children():\n", " if isinstance(artist, plt.Line2D):\n", " artist.set_rasterized(True)\n", " \n", "plt.tight_layout()\n", "\n", "plt.savefig(\"Temperature_Profile.pdf\", format=\"pdf\", bbox_inches=\"tight\", dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Provide path to the corresponding ``mppnp`` post-processed se file " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Searching files, please wait.......\n", "Reading preprocessor files\n", "File search complete.\n" ] } ], "source": [ "mppnp_dir = \"/data/ASDR/NuGrid/data/set1ext/set1.2/ppd_wind/M15.0Z2.0e-02/H5_out\"\n", "pt=mp.se(mppnp_dir)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " reading ['iso_massf']...100%" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4d559187b268402a8858466e1b33b47c", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "species = ['C-12', 'O-16', 'Ne-20', 'Cl-35']\n", "ifig=6;plt.close(ifig);plt.figure(ifig)\n", "\n", "# select one of the two models from which the initial composition of \n", "# the O-shell and C-ingested material will be used in the post-processing simulations\n", "model_cycle = model_cycle_1 \n", "plot_cycle = model_cycle\n", "\n", "title('cycle ' + str(plot_cycle))\n", "pt.abu_profile(isos=species, ifig=ifig, fname=plot_cycle, logy=True)\n", "ylim(-8,0)\n", "xlim(1.5,2)\n", "\n", "#axvline(mass_2[iOtop], color='black', linestyle='dashed')\n", "#axvline(mass_2[iObot], color='black', linestyle='dashed')\n", "axvline(mass_O[0], color='black', linestyle='dashed')\n", "axvline(mass_O[-1], color='black', linestyle='dashed')\n", "\n", "\n", "#xlim(0.0,7)\n", "legend(frameon=False,loc=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Select mass coordinates in the ``mppnp`` model from where to read in the initial isotopic abundances for the O and C shells " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " reading ['rho']...100%]...100%iso_massf\n", " reading ['rho']...100%]...100%iso_massf\n", " reading ['iso_massf']...100%" ] } ], "source": [ "mCshell = 2.0\n", "mOshell = 1.8\n", "#mCshell = 2.9\n", "#mOshell = 2.2\n", "pt.abund_at_masscoordinate(model_cycle,mCshell)\n", "pt.abund_at_masscoordinate(model_cycle,mOshell)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "massf_2.0.dat\n" ] } ], "source": [ "# use the isotopic abundances in the C shell to prepare a cshell_abund.ppn file with abundances ingested by the O shell \n", "ppn_file = 'massf_'+str(mCshell)+'.dat'\n", "print (ppn_file)\n", "\n", "f1=open(ppn_file)\n", "lines=f1.readlines()\n", "f1.close()\n", "\n", "massfrac=[]\n", "Z=[]\n", "element = []\n", "AI = []\n", "\n", "nskip = 5\n", "\n", "for k in range(len(lines)):\n", " # skip header\n", " if k < nskip:\n", " continue\n", " \n", " line=lines[k]\n", " el = line[2:4].strip()\n", " if len(el) > 1: \n", " el = el.replace(el[-1],el[-1].lower())\n", " A = int(line[5:10].strip())\n", " AI.append(A) # A integer\n", " \n", " Z.append(ut.get_z_from_el(el)) # Z\n", " el = el.lower()\n", " if el == 'h' and A == 1:\n", " el = 'PROT'\n", " element.append(el) # element (execept NEUT (first) and PROT (second)) \n", " massfrac.append(\"{:.10e}\".format(float(line[11:-1].strip()))) # massf\n", "\n", "# ppn file output\n", "fout=open('../cshell_abund.ppn','w')\n", "\n", "for ie in range(len(AI)):\n", " el = element[ie]\n", " nsp = 5-len(el)-len(str(AI[ie]))\n", " sps = nsp*\" \"\n", " iso_out = el+sps+str(AI[ie])\n", " if int(Z[ie]) == 1 and int(AI[ie]) == 1:\n", " iso_out = \"PROT \"\n", " nsp = 3-len(str(Z[ie]))\n", " z_out = nsp*\" \"+str(Z[ie])\n", " line_out = z_out+\" \"+iso_out+9*\" \"+str(massfrac[ie])+\"\\n\"\n", " #line_out = \" \" + str(Z[ie]) + \" \" + element[ie] + \" \" + str(AI[ie]) + \" \" + str(massfrac[ie]) + \"\\n\"\n", " fout.write(line_out)\n", "fout.close()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "massf_1.8.dat\n" ] } ], "source": [ "# prepare abundance arrays that will be used to make the first restart file for the O shell\n", "ppn_file = 'massf_'+str(mOshell)+'.dat'\n", "print (ppn_file)\n", "\n", "f1=open(ppn_file)\n", "lines=f1.readlines()\n", "f1.close()\n", "\n", "massfrac=[]\n", "Z=[]\n", "element = []\n", "AI = []\n", "\n", "nskip = 5\n", "\n", "for k in range(len(lines)):\n", " # skip header\n", " if k < nskip:\n", " continue\n", " \n", " line=lines[k]\n", " el = line[2:4].strip()\n", " if len(el) > 1: \n", " el = el.replace(el[-1],el[-1].lower())\n", " A = int(line[5:10].strip())\n", " AI.append(A) # A integer\n", " \n", " Z.append(ut.get_z_from_el(el)) # Z\n", " el = el.lower()\n", " if el == 'h' and A == 1:\n", " el = 'PROT'\n", " element.append(el) # element (execept NEUT (first) and PROT (second)) \n", " massfrac.append(\"{:.10e}\".format(float(line[11:-1].strip()))) # massf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Take the abundances you want to use in mppnp from the MESA profile" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "species=['neut', 'h1', 'h2', 'he3', 'he4', 'li7', 'b8', 'c12', 'c13', 'n13', 'n14', 'n15',\\\n", " 'o15', 'o16', 'o17', 'o18', 'f17', 'f18', 'f19', 'f20', 'ne18', 'ne19', 'ne20', 'ne21', 'ne22',\\\n", " 'na20', 'na21', 'na22', 'na23', 'mg22', 'mg23', 'mg24', 'mg25', 'mg26', 'al24', 'al25', 'al26', 'al27',\\\n", " 'si27', 'si28', 'si29', 'si30', 'si31', 'p30', 'p31', 'p32', 'p33', 's31', 's32', 's33', 's34', 's35', 'cl35', 'cl37',\\\n", " 'ar36', 'ar37', 'ar38', 'k39', 'ca40', 'ca42', 'sc45', 'ti46', 'fe56']\n", "\n", "species=['neut', 'h1', 'he3', 'he4', 'c12', 'n14', 'o16', 'ne20', 'mg24', 'si28', 's32', 'ar36', 'ca40', 'fe56']" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.46815366537681086 0.1664316012941449\n" ] } ], "source": [ "abu= []\n", "NName = []\n", "A = []\n", "for spec in species[1:]:\n", " abu.append(mesa.get(spec))\n", " ilet=\"\"; clet=\"\" # analyse name, extract\n", " for let in spec: # capitalized element name\n", " if let.isdigit(): # and mass number\n", " ilet = ilet+let\n", " else:\n", " clet = clet+let\n", " NName.append(ut.get_z_from_el(clet.capitalize()))\n", " A.append(int(ilet))\n", "abus = {}\n", "for uname in set(NName):\n", " abus[uname] = {}\n", "for i,spec in enumerate(species[1:]):\n", " #rint(i,spec,NName[i],A[i])\n", " abus[NName[i]][A[i]]=abu[i]\n", "\n", "print (abus[8][16][iOtop],abus[8][16][iObot])" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Msun = 1.988409870698051e+33 , Rsun = 69570000000.0\n" ] } ], "source": [ "Msun = 1e3*cc.M_sun.value\n", "Rsun = 1e2*cc.R_sun.value\n", "print('Msun =',Msun,', Rsun =',Rsun)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3973455.7461802033\n", "394317.97892371163\n", "813200.5763148527\n", "99420.49353490256\n" ] } ], "source": [ "print ( 1.998308198291775 * Msun / 1e27 )\n", "print ( (1.998308198291775 - 1.8) * Msun / 1e27 ) \n", "print ( (mass_2[iOtop] - mass_2[iObot]) * Msun / 1e27 )\n", "\n", "print( 0.05 * Msun/1e27 )" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "404 1.998308198291775 1.5510274761568053\n", "404 2229.0160472830757 125.66149963391945\n", "889377.402866126\n" ] } ], "source": [ "# these stellar structure arrays have to be flipped, otherwise mppnp will not run with them\n", "\n", "print (len(mass_O),mass_O[0],mass_O[-1])\n", "\n", "#rhot, tempt, mass, dcoeff, radius = [np.flip(rho_O),np.flip(tem_O),np.flip(mass_O), np.flip(deff_O),np.flip(rad_O)]\n", "\n", "nt = len(mass_O)\n", "rhot = linspace(0,0,nt)\n", "tempt = linspace(0,0,nt)\n", "mass = linspace(0,0,nt)\n", "dcoefft = linspace(0,0,nt)\n", "radiust = linspace(0,0,nt)\n", "\n", "for i in range(nt):\n", " rhot[i] = float(rho_O[i])/1e3\n", " tempt[i] = float(tem_O[i])/1e9\n", " mass[i] = float(mass_O[i])*(Msun/1e27)\n", " dcoefft[i] = float(deff_O[i])\n", " \n", " # DOUBLE CHECK IF YOU AREN'T JOSH ISSA\n", " \n", " radiust[i] = float(rad_O[i])*(1/1e8)\n", "\n", "delta_mass = - np.diff(mass)\n", "# mppnp doesn't work if any delta_mass = 0, therefore insert delta_mass[1] to delta_mass[0]\n", "# the insert is needed to make dimensions of mass and delta_mass equal \n", "delta_mass = np.insert(delta_mass,0,delta_mass[1])\n", "#delta_mass = np.flip(delta_mass)\n", "print (len(delta_mass),delta_mass[0],delta_mass[-1])\n", "\n", "mtot = mass[0]-mass[-1]\n", "print (mtot)\n", "\n", "masst = mass\n", "delta_masst = delta_mass" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.01456873233518631 0.03258145363408495\n" ] } ], "source": [ "print ((mass[-18]-mass[-1])*(1e27/1.989e33),(mass[-18]-mass[-1])/(mass[0]-mass[-1]))" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8353.0" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "8.353e+30/1e27" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The se and restart files will be generated in the following directory it will be cleaned first, therefore check that a directory with this name that contains an mportant data doesn't exist in the current directory" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "stellar_structure_folder = '/user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_gosh_strong_400/'" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "!rm -rf \"$stellar_structure_folder\" && mkdir \"$stellar_structure_folder\"" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N_mod = 11100 , entrate = 1988.4098706980508\n" ] } ], "source": [ "# carefully check these parameters, they will be used in the post-processing\n", "z_ini = 0.02\n", "mass_ini = 15.0 # the initial mass of the model\n", "#mass_ini = 25.0 # the initial mass of the model\n", "time_pp = 110 # post-processing time (in s) estimated with the notebook plot_pprocess.ipynb\n", "#time_pp = 1000 # 440 # post-processing time (in s) estimated with the notebook plot_pprocess.ipynb\n", "dt_pp = 0.01 #0.01 #0.5 # post-processing time step (in s)\n", "#dt_pp = 1.0 # post-processing time step (in s)\n", "nmod_pp = int(time_pp/dt_pp) + 100\n", "\"\"\"\n", "INGESTION RATE IS SUPER IMPORTANT!\n", "\"\"\"\n", "dmdtC = 1e-3 # 1e-4 # 1e-5 # 0.0 # 1e-3 # C-ingestion rate (in solar masses per s) estimated with the notebook plot_pprocess.ipynb\n", "entrate = dmdtC*(Msun/1e27)\n", "print ('N_mod =',nmod_pp,', entrate =',entrate)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1681.5064741916074\n" ] } ], "source": [ "if dmdtC > 0.:\n", " print ((mass_O[-20]-mass_O[-1])/(dmdtC*dt_pp))" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The next cell will generate se output files from\n", "/user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_gosh_strong_400/my_test_hif.0000001.se.h5\n", "to\n", "/user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_gosh_strong_400/my_test_hif.0011301.se.h5\n", "and my_test_hif.idx file\n" ] } ], "source": [ "# this cell will just print the names of the SE files that will actually\n", "# be created in the next cell and it will also generate an *.idx file\n", "# that is necessary for mppnp runs\n", "\n", "# this is the total number of mppnp cycles\n", "N_mod = nmod_pp\n", "\n", "hif_dir = stellar_structure_folder\n", "\n", "# chose from which model number to start\n", "cycle0 = 0 # 5000\n", "hif_file = 'my_test_hif.'+str(cycle0+1).zfill(7)+'.se.h5'\n", "\n", "# each SE file will contain nc cycles\n", "nc = 100\n", "ni = int((N_mod+nc)//nc)+1\n", "cycle_one = 1\n", "cycles=range(cycle0+cycle_one,cycle0+(ni*nc)+1) \n", "\n", "#print cycles\n", "\n", "file_idx_out=hif_dir+\"my_test_hif.idx\"\n", "fout_idx=open(file_idx_out,'w')\n", "fout_idx.write(hif_file+\"\\n\")\n", "\n", "cycle_bndy=[cycle0+1]\n", "outputfiles=[hif_dir+'my_test_hif.'+str(cycle_bndy[-1]).zfill(7)+'.se.h5']\n", "\n", "for i in range(ni):\n", " cycle_bndy.append(cycle_bndy[-1]+nc)\n", " line_idx_out = 'my_test_hif.'+str(cycle_bndy[-1]).zfill(7)+'.se.h5'\n", " outputfiles.append(hif_dir+'my_test_hif.'+str(cycle_bndy[-1]).zfill(7)+'.se.h5') \n", " #print (outputfiles[i])\n", " if i < ni-1:\n", " fout_idx.write(line_idx_out+\"\\n\")\n", "fout_idx.close()\n", "\n", "print (\"The next cell will generate se output files from\")\n", "print (outputfiles[0])\n", "print (\"to\")\n", "print (outputfiles[-1])\n", "print (\"and my_test_hif.idx file\")" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "start writing in file 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/user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_gosh_strong_400/my_test_hif.0010501.se.h5\n", "start writing in file /user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_gosh_strong_400/my_test_hif.0010601.se.h5\n", "start writing in file /user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_gosh_strong_400/my_test_hif.0010701.se.h5\n", "start writing in file /user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_gosh_strong_400/my_test_hif.0010801.se.h5\n", "start writing in file /user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_gosh_strong_400/my_test_hif.0010901.se.h5\n", "start writing in file /user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_gosh_strong_400/my_test_hif.0011001.se.h5\n", "start writing in file /user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_gosh_strong_400/my_test_hif.0011101.se.h5\n", "start writing in file /user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_gosh_strong_400/my_test_hif.0011201.se.h5\n" ] } ], "source": [ "############### Write out model_cycle for each cycle of cycles\n", "\n", "#from tables import *\n", "\n", "# chose from which model number to starat\n", "cycle0 = 0 # 5000\n", "nc = 100\n", "ni = int((N_mod+nc)//nc)+1\n", "cycle_one = 1\n", "cycles=range(cycle0+cycle_one,cycle0+(ni*nc)+1) \n", "\n", "#print cycles\n", "\n", "hif_dir = stellar_structure_folder\n", "\n", "cycle_bndy=[cycle0+1]\n", "outputfiles=[hif_dir+'my_test_hif.'+str(cycle_bndy[-1]).zfill(7)+'.se.h5']\n", "\n", "for i in range(ni):\n", " cycle_bndy.append(cycle_bndy[-1]+nc)\n", " outputfiles.append(hif_dir+'my_test_hif.'+str(cycle_bndy[-1]).zfill(7)+'.se.h5') \n", "\n", "i=0\n", "\n", "# writing global parameters:\n", "\n", "# make sure that you write the right units to ensure that mppnp will compute with the right values.\n", "\n", "hattr_name = [\"codev\", \"modname\", \"mini\", \"zini\", \"rotini\", \"overini\", \"age_unit\",\n", " \"mass_unit\", \"radius_unit\", \"rho_unit\", \"temperature_unit\",\n", " \"dcoeff_unit\",\"firstcycle\"]\n", "hattr_data = ['MES', 'modname', mass_ini, z_ini, 0., 0., 1., 1e27, 1e8, 1e3, 1e9, 1., cycles[0]]\n", "\n", "\n", "shellnb, age, deltat, entrate = [len(masst),0.,dt_pp,entrate] \n", "\n", "for cyc in cycles:\n", " cyc = int(cyc)\n", " if cyc==cycle_bndy[i]:\n", " print (\"start writing in file \",outputfiles[i])\n", " file_sewrite=sw.startfile(outputfiles[i])\n", " file_sewrite.write_hattr(hattr_name,hattr_data)\n", " # Add specific header info about first cycle\n", " file_sewrite.write_hattr(hattr_name=['firstcycle'],hattr_val=[np.array([cyc], dtype=np.int32)])\n", " i+=1\n", "\n", "#write h5 cycle data\n", " #write data columns\n", " dcol_name = [\"rho\", \"temperature\", \"mass\", \"dcoeff\", \"radius\", \"delta_mass\"]\n", " dcol_data = [rhot, tempt, masst, dcoefft, radiust, delta_masst]\n", " #file_sewrite.write_dcol(cycles[i], dcol_name, dcol_data)\n", " file_sewrite.write_dcol(cyc, dcol_name, dcol_data)\n", "\n", " #write data attributes\n", " cattr_name = [\"total_mass\", \"shellnb\", \"age\", \"deltat\",\"entrate\"]\n", " cattr_data = [mtot,shellnb,age,deltat,entrate]\n", " #file_sewrite.write_cattr(cycles[i], cattr_name, cattr_data)\n", " file_sewrite.write_cattr(cyc, cattr_name, cattr_data)\n", " age+=deltat" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prepare mass fractions for the restart file" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " There are 1100 isotopes in the file\n" ] } ], "source": [ "#### Create .restart.h5 file (with one cycle)\n", "\n", "# abundance template data are read from a ppn output that was obtained\n", "# for the isotopebase.txt with either 1107 or 5234 species\n", "\n", "f1=open('/user/scratch14_wendi3/dpa/convreac_setup/input_data/initcomp_mesafehm2.6_1107.DAT')\n", "#f1 = open('/user/scratch14_csa/jissa/COshellmergers/coshellmerger_josh/notebooks/cshell_abund.ppn')\n", "\n", "lines=f1.readlines()\n", "f1.close()\n", "\n", "massfrac_tmp = []\n", "shells_massfrac_tmp=[]\n", "A_tmp=[]\n", "Z_tmp=[]\n", "mass_tmp=[]\n", "\n", "print (\"\\n There are\", len(lines), \"isotopes in the file\")\n", "\n", "for k in range(len(lines)):\n", " # skip header\n", " if k<7:\n", " continue\n", " isotopes=[]\n", " line=lines[k]\n", " idx_iso=[]\n", " isotopes1=[]\n", " #print line\n", " strk = line.split()\n", " Z_tmp.append(int(float(strk[1])))\n", " A_tmp.append(int(float(strk[2])))\n", " # for PopIII stars we assume that all mass fraction are 1e-99\n", " # except theose for the selected MESA isotopes that are added afterwards\n", " massfrac_tmp.append('1.00000E-99')\n", "\n", "# here we add the mass fractions for the selected MESA isotopes\n", "mass_int = 0.5*(masst[0]+masst[-1])\n", "\n", "shells_massfrac_tmp = [[1e-99 for i in range(len(massfrac_tmp))] for k in range(len(masst))]\n", "\n", "# use abundances in the O shell available from the MESA \"profile\" file\n", "#for k in range(len(masst)):\n", "# for i in range(len(massfrac_tmp)):\n", "# if Z_tmp[i] in list(abus.keys()) and A_tmp[i] in list((abus.get(Z_tmp[i])).keys()):\n", "# # we are in a convective zone, use abundances at the middle of the zone\n", "# shells_massfrac_tmp[k][i]=abus[Z_tmp[i]][A_tmp[i]][int(0.5*(iOtop+iObot))]\n", "\n", "# use abundances in the O shell from the corresponding mppnp se file \n", "k = 0\n", "for i in range(len(massfrac_tmp)):\n", " for j in range(len(AI)):\n", " if int(Z_tmp[i]) == int(Z[j]) and int(A_tmp[i]) == AI[j]:\n", " shells_massfrac_tmp[k][i] = massfrac[j]\n", " \n", "for k in range(len(masst)):\n", " for i in range(len(massfrac_tmp)):\n", " shells_massfrac_tmp[k][i] = shells_massfrac_tmp[0][i]\n", " \n", "# Assume no isomeric states!!!:\n", "isomeric_state_tmp=[1]*len(Z_tmp)\n", "\n", "#i = 16\n", "#for k in range(len(masst)):\n", "# print (k, i, masst[k], shells_massfrac_tmp[k][i], dcoefft[k])" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'6.6523965521e-06'" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "massfrac[int((np.where(np.array(Z) == 6) and np.where(np.array(AI) == 12))[0])]" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['codev', 'modname', 'mini', 'zini', 'rotini', 'overini', 'age_unit', 'mass_unit', 'radius_unit', 'rho_unit', 'temperature_unit', 'dcoeff_unit', 'firstcycle', 'zisnb']\n" ] } ], "source": [ "###### Write restart cycle #########\n", "\n", "hif_dir = stellar_structure_folder\n", "\n", "name='my_test_hif.0000001.restart.h5'\n", "\n", "f=sw.startfile(hif_dir+name)\n", "\n", "cattr_name_restart = [\"total_mass\", \"shellnb\", \"age\"]\n", "cattr_data_restart = [mtot,shellnb,0]\n", "\n", "# Same header as in se files\n", "print(hattr_name+['zisnb'])\n", "f.write_hattr(hattr_name=hattr_name+['zisnb'],hattr_val=hattr_data+[len(shells_massfrac_tmp[0])])\n", "\n", "# A,Z, isomeric state, mass,iso_massf is all needed in restart file (except header)\n", "\n", "f.write_table('A',A_tmp)\n", "f.write_table('Z',Z_tmp)\n", "f.write_table('isomeric_state',isomeric_state_tmp)\n", "\n", "#f.write_dcol(1,dcol_name, dcol_data)\n", "\n", "##### WHY ABUNDANCES ARE FLIPPED????\n", "\n", "f.write_dcol(1,dcol_name=['mass']+['iso_massf'],dcol_val=[np.flip(masst)]+[np.flip(shells_massfrac_tmp,0)])\n", "\n", "# write column attr,really needed: \"shellnb\", but write out more,e.g. age\n", "f.write_cattr(1,cattr_name=cattr_name_restart,cattr_val=cattr_data_restart)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[(1.05287532e+15, 2229.01604728, 3973455.7461802 , 8.57833945, 146.09367927, 1.23582493)\n", " (1.05287532e+15, 2229.01604728, 3971226.73013292, 8.5617966 , 146.68769651, 1.23799778)\n", " (1.05287532e+15, 2229.01604728, 3968997.71408564, 8.54525505, 147.24437827, 1.23978873)\n", " (1.05287532e+15, 2229.01604728, 3966768.69803835, 8.52871555, 147.77595564, 1.24137681)\n", " (1.05287532e+15, 2229.01604728, 3964539.68199107, 8.5121821 , 148.29736943, 1.24292872)]\n" ] } ], "source": [ "import h5py\n", "\n", "with h5py.File(\"/user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_MLT_400/my_test_hif.0000101.se.h5\", 'r') as openfile:\n", " \n", " reading = openfile['cycle-101/SE_DATASET']\n", " \n", " print(reading[:5])\n" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[(3.15862595e+15, 2229.01604728, 3973455.7461802 , 8.57833945, 146.09367927, 1.23582493)\n", " (3.15862595e+15, 2229.01604728, 3971226.73013292, 8.5617966 , 146.68769651, 1.23799778)\n", " (3.15862595e+15, 2229.01604728, 3968997.71408564, 8.54525505, 147.24437827, 1.23978873)\n", " (3.15862595e+15, 2229.01604728, 3966768.69803835, 8.52871555, 147.77595564, 1.24137681)\n", " (3.15862595e+15, 2229.01604728, 3964539.68199107, 8.5121821 , 148.29736943, 1.24292872)]\n" ] } ], "source": [ "import h5py\n", "\n", "with h5py.File(\"/user/scratch14_wendi3/jissa/OC_runs/stellar_structure_data_dt001_PPM3_400/my_test_hif.0000101.se.h5\", 'r') as openfile:\n", " \n", " reading = openfile['cycle-101/SE_DATASET']\n", " \n", " print(reading[:5])\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 4 }