{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## twopunctures"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"m1 = 0.5\n",
"m2 = 0.5\n",
"ADMMass = 0.9898872694943947\n",
"Mass Ratio = 1.0\n",
"eta = 0.25\n",
"separation = 10.4\n",
"spin1 = [-0.125 0. 0. ]\n",
"spin2 = [0.125 0. 0. ]\n",
"chi1 = [-0.5 0. 0. ]\n",
"chi2 = [0.5 0. 0. ]\n",
"chi_eff = 0.0\n",
"chi_p = 0.5\n",
"Omega_orb = 0.027528062162940594\n",
"CutoffFrequency = 0.04129209324441089\n",
"\n"
]
}
],
"source": [
"import CactusTool\n",
"\n",
"name = 'BBH000Lev1'\n",
"sim = CactusTool.load(name, '/Volumes/simulations/BBH_Catalog')\n",
"p = sim.ThornOutput('twopunctures')\n",
"print(p)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## multipole"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"import CactusTool\n",
"\n",
"name = 'BBH0000_D25'\n",
"sim = CactusTool.load(name, '/Volumes/simulations/HUST_Catalog')\n",
"mp = sim.ThornOutput('multipole', ftype='h5')\n",
"bbh = sim.ThornOutput('TwoPunctures')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mp.rPsi4(bbh.ADMMass, (2, 2), 500).preview()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## puncturetracker"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import CactusTool\n",
"\n",
"name = 'BBH0000_D25'\n",
"sim = CactusTool.load(name, '/Volumes/simulations/HUST_Catalog')\n",
"trajectory = sim.ThornOutput('puncturetracker')\n",
"bbh = sim.ThornOutput('twopunctures')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Initial separation: 25.0\n",
"Merger time: 201.181339285714\n",
"The coordinate recoil velocity [km/s]: [5119.0130307860645, 2752.178504601252, 2098.584183442442]\n"
]
}
],
"source": [
"print(\"Initial separation:\", trajectory.init_separation)\n",
"print(\"Merger time:\", trajectory.tmerger())\n",
"print(\"The coordinate recoil velocity [km/s]:\", trajectory.vf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## quasilocalmeasures"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import CactusTool\n",
"\n",
"name = 'BBH000Lev1'\n",
"sim = CactusTool.load(name, '/Volumes/simulations/BBH_Catalog')\n",
"qlm = sim.ThornOutput('quasilocalmeasures')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Remnant AH mass: 0.9503018583049941\n",
"Remnant AH spin: [-1.89831521e-08 1.71428659e-09 6.81398221e-01]\n"
]
}
],
"source": [
"print(\"Remnant AH mass:\", qlm.mf)\n",
"print(\"Remnant AH spin:\", qlm.chif)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## AHFinderDirect"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import CactusTool\n",
"\n",
"name = 'BBH000Lev2'\n",
"sim = CactusTool.load(name, '/Volumes/simulations/BBH_Catalog')\n",
"Horizon = sim.ThornOutput('AHFinderDirect')\n",
"Horizon.M_irr('ah1')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Carpet"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{0: {0: '[-1.234197113910275867,-1.234197113910275867,190.6285714285714334]:[1.234197113910275423,1.234197113910275423,4202.057142857142935]:[0.05609986881410344156,0.05609986881410344156,1.371428571428571441]'}}"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import CactusTool\n",
"\n",
"name = 'BBH0001_D15_Rin200'\n",
"sim = CactusTool.load(name, '/Volumes/simulations/HUST_Catalog')\n",
"carpet = sim.ThornOutput('carpet')\n",
"carpet.coordinates()[1]\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## nanchecker"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"iteration:\n",
" {47104}\n",
"hierarchy:\n",
" {0: {0: set(), 1: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, 2: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, 3: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, 4: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, 5: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, 6: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, 7: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, 8: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}}, 1: {0: {0, 1}}, 5: {0: {0, 1, 2, 3}}, 2: {0: {0, 1}}, 3: {0: {0, 1}}, 4: {0: {0, 1}}}\n"
]
}
],
"source": [
"import CactusTool\n",
"\n",
"name = 'GW150914_test10'\n",
"sim = CactusTool.load(name, '/Volumes/simulations/HUST_error')\n",
"nan = sim.ThornOutput('nanchecker')\n",
"print(\"iteration:\\n\", nan.it)\n",
"print(\"hierarchy:\\n\", nan.hierarchy)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"p = nan.dsets(47104, 0, 8, 0)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.5"
},
"widgets": {
"application/vnd.jupyter.widget-state+json": {
"state": {},
"version_major": 2,
"version_minor": 0
}
}
},
"nbformat": 4,
"nbformat_minor": 4
}