Created
September 15, 2014 02:53
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{ | |
"metadata": { | |
"name": "", | |
"signature": "sha256:f39bf2933b5b511b01f726b2e2042ff48174bac929a43ead08884584feaa2899" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"\\begin{equation}\n", | |
"\\rho(\\textbf{r}) = \\sum_p m_p W \\left( \\textbf{r} - \\textbf{r}_p, h \\right)\n", | |
"\\end{equation}" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"where:" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$\\rho(\\textbf{r})$: density at arbitrary point $\\textbf{r}$\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$m_p, \\textbf{r}_p$: mass and position of particle $p$\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$W \\left( \\textbf{r} - \\textbf{r}_p, h \\right)$: interpolating kernel with stencil size $h$" | |
] | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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