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Merge pull request #411 from matt-frey/manual
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== Citation | ||
Please cite the two-dimensional EPIC model using | ||
``` | ||
@article{Frey2022, | ||
title = {EPIC: The Elliptical Parcel-In-Cell method}, | ||
journal = {Journal of Computational Physics: X}, | ||
volume = {14}, | ||
pages = {100109}, | ||
year = {2022}, | ||
issn = {2590-0552}, | ||
doi = {https://doi.org/10.1016/j.jcpx.2022.100109}, | ||
url = {https://www.sciencedirect.com/science/article/pii/S2590055222000051}, | ||
author = {Matthias Frey and David Dritschel and Steven B\"oing} | ||
} | ||
``` |
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:stem: latexmath | ||
== Model | ||
[stem] | ||
++++ | ||
\begin{align} | ||
\label{eq:progu} | ||
& \frac{\mathrm{D}\boldsymbol{u}}{\mathrm{D} t}+2\Omega\,\hat{\boldsymbol{e}}_z\times\boldsymbol{u} | ||
= -\frac{\nabla p}{\rho_0}+b\,\hat{\boldsymbol{e}}_z \,, \\ | ||
\label{eq:progb} | ||
& \frac{\mathrm{D} b_l}{\mathrm{D} t} = 0 \,, \\ | ||
\label{eq:progq} | ||
& \frac{\mathrm{D} q}{\mathrm{D} t} = 0 \,, | ||
\end{align} | ||
++++ |