{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example: Ice Lines\n", "\n", "In the example we want to implement several ice lines into a `DustPy` simulation. \n", "Ice lines are locations in protoplanetary disks where the temperature drop below a value where a chemical species can freeze out.\n", "\n", "It has long been speculated that different chemical compositions of dust particles can influence their collisional behavior depending on the different surface forces these species have. This can to first order be implemented by changing the fragmentation velocity depending on the temperature in the disk.\n", "\n", "The example here will be similar to [Pnilla et al. (2017)](https://doi.org/10.3847/1538-4357/aa7edb):\n", "\n", "Above $150\\,\\mathrm{K}$ all volatiles are evaporated and only the bare silicate grains are left. He we use a fragmentation velocity of $1\\,\\mathrm{m/s}$. Below $150\\,\\mathrm{K}$ water freezes out onto the grain. Due to the dipolar nature of the water molecule these grains are more sticky and we use a fragmentation velocity of $10\\,\\mathrm{m/s}$. At about $80\\,\\mathrm{K}$ ammonia $\\left(\\mathrm{NH}_3\\right)$ freezes out which has slightly weaker dipolar forces than water and we therefore use a fragmentation velocity of $7\\,\\mathrm{m/s}$. At $44\\,\\mathrm{K}$ carbon dioxide $\\left(\\mathrm{CO}_2\\right)$ freezes out and we expect the fragmentation velocity to go back to $1\\,\\mathrm{m/s}$.\n", "\n", "However, note that [Musiolik & Wurm (2019)](https://doi.org/10.3847/1538-4357/ab0428) that these differences might not exist at all. We'll use them here anyway for demonstration purposes.\n", "\n", "The method described here can also be used to implement sintering effects as described by [Okuzumi et al. (2016)](https://doi.org/10.3847/0004-637X/821/2/82)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from dustpy import Simulation\n", "import dustpy.constants as c" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "sim = Simulation()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "sim.initialize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this point the fragmentation velocity is constant with the default value of $1\\,\\mathrm{m/s}$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "fig = plt.figure(dpi=150)\n", "ax = fig.add_subplot(111)\n", "ax.semilogx(sim.grid.r/c.au, sim.dust.v.frag/100.)\n", "ax.set_xlim(sim.grid.r[0]/c.au, sim.grid.r[-1]/c.au)\n", "ax.set_xlabel(\"Distance from star [AU]\")\n", "ax.set_ylabel(\"Fragmentation velocity [m/s]\")\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have to write a function that constructs the fragmentation velocity according the prescription above." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "def vfrag(sim):\n", " vfrag = np.where(sim.gas.T<150., 1000., 100.)\n", " vfrag = np.where(sim.gas.T<80., 700., vfrag)\n", " vfrag = np.where(sim.gas.T<44., 100., vfrag)\n", " return vfrag" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can assign the return value of this function to the fragmentation velocity." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "sim.dust.v.frag = vfrag(sim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also update the whole simulation frame to update the fields that depend on the fragmentation velocity." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "sim.update()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fragmentation velocity now changes at the introduced ice lines." ] }, { "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": [ "import matplotlib.pyplot as plt\n", "\n", "fig = plt.figure(dpi=150)\n", "ax = fig.add_subplot(111)\n", "ax.semilogx(sim.grid.r/c.au, sim.dust.v.frag/100.)\n", "ax.set_xlim(sim.grid.r[0]/c.au, sim.grid.r[-1]/c.au)\n", "ax.set_xlabel(\"Distance from star [AU]\")\n", "ax.set_ylabel(\"Fragmentation velocity [m/s]\")\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we do not assign out function to the updater of the fragmentation velocities. Since the temperature profile is constant in the default model, the fragmentation velocity would not change. It's therefore not required to update it at every time step.\n", "\n", "We are now ready to start the simulation." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "sim.writer.datadir = \"10_data\"" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "DustPy v0.4.7\n", "\n", "Documentation: https://stammler.github.io/dustpy/\n", "PyPI: https://pypi.org/project/dustpy/\n", "GitHub: https://github.com/stammler/dustpy/\n", "\n", "Please cite: Stammler & Birnstiel (in prep.)\n", "\n", "\u001b[93mChecking for mass conservation...\n", "\u001b[0m\n", "\u001b[93m - Sticking:\u001b[0m\n", "\u001b[98m max. rel. error: \u001b[92m 2.81e-14\u001b[0m\n", " for particle collision\n", " m[114] = 1.93e+04 g with\n", " m[116] = 3.73e+04 g\u001b[0m\n", "\u001b[93m - Full fragmentation:\u001b[0m\n", "\u001b[98m max. rel. error: \u001b[92m 3.33e-16\u001b[0m\n", " for particle collision\n", " m[4] = 3.73e-12 g with\n", " m[6] = 7.20e-12 g\u001b[0m\n", "\u001b[93m - Cratering:\u001b[0m\n", "\u001b[98m max. rel. error: \u001b[92m 1.78e-15\u001b[0m\n", " for particle collision\n", " m[110] = 5.18e+03 g with\n", " m[118] = 7.20e+04 g\n", "\u001b[0m\n", "Creating data directory '10_data'.\n", "Writing file \u001b[94m10_data/data0000.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0001.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0002.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0003.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0004.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0005.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0006.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0007.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0008.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0009.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0010.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0011.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0012.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0013.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0014.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0015.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0016.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0017.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0018.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0019.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0020.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m10_data/data0021.hdf5\u001b[0m\n", "Writing dump file \u001b[94m10_data/frame.dmp\u001b[0m\n", "Execution time: \u001b[94m13:11:07\u001b[0m\n" ] } ], "source": [ "sim.run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is the result of our simulation." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from dustpy import plot\n", "\n", "plot.panel(sim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the inner disk is enriched in dust. The reason for this is the so-called \"traffic jam\" effect. Dust particles outside the water ice line grow to larger sizes, which drift rapidly. After crossing the water ice line the fragment down so slowly drifting particles. Therefore, dust accumulates inside the water ice line." ] } ], "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }