\n",
"\n",
"\n",
"\n",
"Note\n",
"\n",
"\n",
"This notebook cannot be run interactively!\n",
"\n",
"\n",
"
"
]
},
{
"cell_type": "markdown",
"id": "b4ffa8ca",
"metadata": {},
"source": [
"### What is [Arepo](https://arepo-code.org/)?\n",
"> *Arepo is a massively parallel gravity and magnetohydrodynamics code for astrophysics, designed for problems of large dynamic range. It employs a finite-volume approach to discretize the equations of hydrodynamics on a moving Voronoi mesh, and a tree-particle-mesh method for gravitational interactions. Arepo is originally optimized for cosmological simulations of structure formation, but has also been used in many other applications in astrophysics.*\n",
"\n",
"(Weinberger, 2020)"
]
},
{
"cell_type": "markdown",
"id": "e3b3a256",
"metadata": {},
"source": [
"This parser is intended for loading Arepo output files ('snapshots'), extracting the relevant (line-of-sight dependent) data and exporting it to `csvy` files, which can in turn be used in TARDIS models ([see CSVY model](../index.rst#csvy-model))."
]
},
{
"cell_type": "markdown",
"id": "e3ea3fbc",
"metadata": {},
"source": [
"
\n",
"\n",
"\n",
"\n",
"Note\n",
"\n",
"\n",
"This parser has been developed for the (not publicly available) development version of Arepo, not the public version. Although it should also work with snapshots from the public version, this has not been tested. If you run into trouble loading the snapshot using the built-in functions, try providing the data manually. \n",
"\n",
"\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "998d5c4d",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Iterations: 0/? [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Packets: 0/? [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from tardis.io.parsers import arepo\n",
"import json\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"id": "2ef575f3",
"metadata": {},
"source": [
"### Loading the simulation data"
]
},
{
"cell_type": "markdown",
"id": "9e2fbaf7",
"metadata": {},
"source": [
"As a first step, the relevant data has to be loaded from an Arepo snapshot, i.e. an output file of Arepo. In case you have the arepo-snap-util package installed, you can use the built in wrapper (as described below) to load the relevant data. In case you do not have this package installed or want to load the snapshot in a different way, you can manually provide the relevant data and continue with the next step.\n",
"\n",
"If you're using the built-in tool, you will need to provide the path to the snapshot file, a list with the elements you want to include in your TARDIS model, as well as the species file with which the Arepo simulation was run. *(The species file should contain one header line, followed by two columns, where the first contains the names of all the species and is used to find the indices of the individual species within the snapshot. The second column is not used by the loader.)*"
]
},
{
"cell_type": "markdown",
"id": "1c28af25",
"metadata": {},
"source": [
"In case you have the arepo-snap-util package installed, you can load the data directly from a snapshot:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "e8f60a52",
"metadata": {},
"outputs": [],
"source": [
"snapshot = arepo.ArepoSnapshot(\n",
" \"arepo_snapshot.hdf5\", [\"ni56\", \"si28\"], \"species55.txt\"\n",
")\n",
"pos, vel, rho, mass, xnuc, time = snapshot.get_grids()"
]
},
{
"cell_type": "markdown",
"id": "bbfb8ab5",
"metadata": {},
"source": [
"This will load the necessary from the snapshot. See the [API](../../../../../api/tardis.io.parsers.arepo.rst) documentation for more options on how to load snapshots."
]
},
{
"cell_type": "markdown",
"id": "52e061bf",
"metadata": {},
"source": [
"
\n",
"\n",
"\n",
"\n",
"Note\n",
"\n",
"\n",
"The built in functionality only loads Arepo particle species `0`, i.e. gas particles. For most (if not all) purposes connected to TARDIS, gas particles should be the only species of interest. In case you need to load a different particle species, please manually load the data.\n",
"\n",
"
"
]
},
{
"cell_type": "markdown",
"id": "49203e1f",
"metadata": {},
"source": [
"This will fail with an error if you do not have the arepo-snap-util package installed. Since this is not a default dependency of TARDIS, the data can also be loaded manually. *(This manual load can effectively be used to load all kinds of models unrelated to Arepo, as long as the data comes in the correct format.)*\n",
"\n",
"The data could be loaded from a previously generated `json` file, where all necessary input from the snapshot has been dumped in. *(The `json` file is only an example and more for illustrative purposes. As long as the data is provided in the correct format (see below) it is up to the user how it is saved/loaded.)*\n",
" \n",
"Code: (click to expand) \n",
" \n",
"```python\n",
" \n",
"### Dumping the data:\n",
"data = {\n",
" \"pos\" : pos.tolist(),\n",
" \"vel\" : vel.tolist(),\n",
" \"rho\" : rho.tolist(),\n",
" \"mass\" : mass.tolist(),\n",
" \"xnuc\": [xnuc[x].tolist() for x in list(xnuc.keys())],\n",
" \"time\": time,\n",
"}\n",
"json_string = json.dumps(data)\n",
"with open('arepo_snapshot.json', 'w') as outfile:\n",
" json.dump(json_string, outfile)\n",
" \n",
"### Loading the data:\n",
"with open('arepo_snapshot.json') as json_file:\n",
" data = json.loads(json.load(json_file))\n",
"\n",
"# The following lines only parse the .json file. You might not need this depending on how you saved \n",
"# the snapshot data \n",
"pos, vel, rho, mass, nucs, time = data[\"pos\"], data[\"vel\"], data[\"rho\"], data[\"mass\"], data[\"xnuc\"], data[\"time\"]\n",
"pos = np.array(pos)\n",
"vel = np.array(vel)\n",
"rho = np.array(rho)\n",
"mass = np.array(mass)\n",
"\n",
"# The nuclear data should be in a dict where each element has its own entry (with the key being the element name)\n",
"xnuc = {\n",
" \"ni56\" : np.array(nucs[0]),\n",
" \"si28\" : np.array(nucs[1]),\n",
"}\n",
"```\n",
""
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "6da0f3b9",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Position data shape: (3, 1218054)\n",
"Velocity data shape: (3, 1218054)\n",
"Density data shape: (1218054,)\n",
"Mass data shape: (1218054,)\n",
"Nuclear data shape (per element): (1218054,)\n"
]
}
],
"source": [
"print(\"Position data shape: \", pos.shape)\n",
"print(\"Velocity data shape: \", vel.shape)\n",
"print(\"Density data shape: \", rho.shape)\n",
"print(\"Mass data shape: \", mass.shape)\n",
"print(\"Nuclear data shape (per element): \", xnuc[\"ni56\"].shape)"
]
},
{
"cell_type": "markdown",
"id": "76522979",
"metadata": {},
"source": [
"In case you want to load the snapshot data itself with your own tools, you will need to provide the following data:\n",
"- Position in the center of mass frame (\"pos\") -> `np.array`\n",
"- Velocity (\"vel\") -> `np.array`\n",
"- Density (\"rho\") -> `np.array`\n",
"- Mass (\"mass\") -> `np.array`\n",
"- Nuclear fraction (\"xnuc\") of each element you want to include -> `dict` containing `np.array` \n",
"- Time of the snapshot (\"time\") -> `float`\n",
"\n",
"The data should have the same shape as the one provided by the built-in tool (see the given shapes above for an example)."
]
},
{
"cell_type": "markdown",
"id": "bf82ae2e",
"metadata": {},
"source": [
"### Extracting a profile and converting it to a csvy file\n",
"Now You can create a TARDIS model. There are two possibilities on how to extract the profiles from the snapshot: \n",
" \n",
"- **Cone profile**: This extracts the data within a specified cone \n",
"- **Full profile**: This averages over the whole simulation "
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "cf051ded",
"metadata": {},
"outputs": [],
"source": [
"profile = arepo.ConeProfile(pos, vel, rho, mass, xnuc, time)"
]
},
{
"cell_type": "markdown",
"id": "ecf7d48d",
"metadata": {},
"source": [
"This loads the data (in this example for a cone profile), which can then be cut to the ranges which you want to include in your TARDIS model. The syntax for the other profiles is similar: \n",
" \n",
"- `arepo.FullProfile()` "
]
},
{
"cell_type": "markdown",
"id": "09cfe94f",
"metadata": {},
"source": [
"Next you can create the profiles according to the model option you selected. A diagnostic plot will be shown per default, but this behaviour can be turned off with the option `show_plot=False`. The plot will always show both the positive and negative axis."
]
},
{
"cell_type": "markdown",
"id": "7f2286b2",
"metadata": {
"raw_mimetype": "text/restructuredtext"
},
"source": [
"
\n",
"\n",
"\n",
"\n",
"Note\n",
"\n",
"\n",
"The keyword ``opening_angle=40`` is only needed for the cone profile. The other modes do not accept this keyword! The angle itself is the opening angle of the full cone and NOT the angle between the central x-axis and the cone!\n",
"\n",
"\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "0aa59e7e",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"profile.create_profile(opening_angle=40)\n",
"profile.rebin(100)\n",
"profile.plot_profile()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "bfd37bad",
"metadata": {},
"source": [
"### Plotting the data\n",
"\n",
"Using `profile.plot_profile(save=, dpi=)` you can create a plot of the exported profile. Due to the large number of cells usually used in Arepo simulations, it is recommended to plot the data only **after** rebinning the profiles or exporting them to a `csvy` file (which automatically rebins the data).\n",
"\n",
"### Manually rebinning the data\n",
"Using `profile.rebin()`, you can manually rebin the data , using the mean value of the data in each bin. Rebinning only works when decreasing the number of bins. In case you need to increase resolution, you will need to create a new profile."
]
},
{
"cell_type": "markdown",
"id": "d619b5d0",
"metadata": {},
"source": [
"### Selecting a specific region\n",
"In many cases you only want a very specific region from the snapshot, e.g. cutting out the dense, optically thick regions. This can be achieved using the keywords `inner_radius` and `outer_radius`."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "bd934289",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"profile.create_profile(opening_angle=40, inner_radius=1e11, outer_radius=2e11)\n",
"profile.rebin(100)\n",
"profile.plot_profile()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "dd6310ec",
"metadata": {},
"source": [
"Once you have created a profile of the desired region, you can export the profile to a `csvy` file, which in turn can be used in a TARDIS model. Here you have to specify how many shells you want to export. The profiles are rebinned automatically using [Scipys binned_statistic function](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.binned_statistic.html), using the mean value of the data in each bin."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "e918835b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'snapshot_converted_to_tardis.csvy'"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"profile.export(20, \"snapshot_converted_to_tardis.csvy\", overwrite=True)"
]
},
{
"cell_type": "markdown",
"id": "7c4e8922",
"metadata": {},
"source": [
"During the export, the `yaml` header is automatically written and includes the time of the screenshot as the time for both the nuclear data as well as the density profile. Per default, the positive axis will be exported. the negative axis can be exported with `direction=\"neg\"`.\n",
"\n",
"All abundences will normalised such that roughly sum to 1, but slight deviations are expected to occur."
]
},
{
"cell_type": "markdown",
"id": "c478ccec",
"metadata": {
"raw_mimetype": "text/restructuredtext"
},
"source": [
"
\n",
"\n",
"\n",
"\n",
"Note\n",
"\n",
"\n",
"The export function will not overwrite existing files, but rather add an incrementing number to the filename.\n",
"\n",
"\n",
"
"
]
},
{
"cell_type": "markdown",
"id": "da49c11a",
"metadata": {},
"source": [
"## Using the parser as a command line tool"
]
},
{
"cell_type": "markdown",
"id": "e0302a53",
"metadata": {},
"source": [
"You can also use the `tardis.io.arepo` package as a command line utility, e.g. if you are running batch jobs and want to automatically convert your snapshots from within you job-script.\n",
"\n",
"To export the same profile as in the example above you can run:\n",
"```bash\n",
"python .//arepo.py snapshot.hdf5 snapshot_converted.csvy -o 40 -n 20 --inner_radius 1e11 --outer_radius 2e11 -e ni56 si28 --plot plot.png\n",
"```\n",
"\n",
"This will also save diagnostic plots of both the raw and rebinned profiles. For more information on how to use the command line tool run:\n",
"```bash\n",
"python .//arepo.py --help\n",
"```"
]
},
{
"cell_type": "markdown",
"id": "8f988111",
"metadata": {
"raw_mimetype": "text/restructuredtext"
},
"source": [
"
\n",
"\n",
"\n",
"\n",
"Note\n",
"\n",
"\n",
"The command line tool does only work with snapshot files, not with e.g. json files. It is in any case not advised to use json files as an intermediate step, as the become huge for higher resolutions.\n",
"\n",
"\n",
"