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Commit a4ac9d6d authored by Matthieu Schaller's avatar Matthieu Schaller
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Same treatment for the SPH flavours document

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...@@ -83,7 +83,7 @@ theory/latex/swift.pdf ...@@ -83,7 +83,7 @@ theory/latex/swift.pdf
theory/SPH/Kernels/kernels.pdf theory/SPH/Kernels/kernels.pdf
theory/SPH/Kernels/kernel_derivatives.pdf theory/SPH/Kernels/kernel_derivatives.pdf
theory/SPH/Kernels/kernel_definitions.pdf theory/SPH/Kernels/kernel_definitions.pdf
theory/SPH/flavours/sph_flavours.pdf theory/SPH/Flavours/sph_flavours.pdf
theory/paper_pasc/pasc_paper.pdf theory/paper_pasc/pasc_paper.pdf
m4/libtool.m4 m4/libtool.m4
......
#!/bin/bash #!/bin/bash
pdflatex sph_flavours.tex pdflatex -jobname=sph_flavours sph_flavours_standalone.tex
bibtex sph_flavours.aux bibtex sph_flavours.aux
pdflatex sph_flavours.tex pdflatex -jobname=sph_flavours sph_flavours_standalone.tex
pdflatex sph_flavours.tex pdflatex -jobname=sph_flavours sph_flavours_standalone.tex
\documentclass[fleqn, usenatbib, useAMS, a4paper]{mnras}
\usepackage{graphicx}
\usepackage{amsmath,paralist,xcolor,xspace,amssymb}
\usepackage{times}
\usepackage[super]{nth}
\newcommand{\swift}{{\sc swift}\xspace}
\newcommand{\gadget}{{\sc gadget}\xspace}
\newcommand{\dd}[2]{\frac{\partial #1}{\partial #2}}
\renewcommand{\vec}[1]{{\mathbf{#1}}}
\newcommand{\Wij}{\overline{\nabla_xW_{ij}}}
\newcommand{\tbd}{\textcolor{red}{TO BE DONE}}
\newcommand{\MinimalSPH}{\textsc{minimal-sph}\xspace}
\newcommand{\GadgetSPH}{\textsc{gadget-sph}\xspace}
\newcommand{\PESPH}{\textsc{pe-sph}\xspace}
%\setlength{\mathindent}{0pt}
%opening
\title{SPH flavours in SWIFT}
\author{Matthieu Schaller}
\begin{document}
\maketitle
For vector quantities, we define $\vec{a}_{ij} \equiv (\vec{a}_i - For vector quantities, we define $\vec{a}_{ij} \equiv (\vec{a}_i -
\vec{a}_j)$. Barred quantities ($\bar a_{ij}$) correspond to the \vec{a}_j)$. Barred quantities ($\bar a_{ij}$) correspond to the
average over two particles of a quantity: $\bar a_{ij} \equiv average over two particles of a quantity: $\bar a_{ij} \equiv
...@@ -32,7 +6,7 @@ vector quantity $\Wij \equiv \frac{1}{2}\left(W(\vec{x}_{ij}, h_i) + ...@@ -32,7 +6,7 @@ vector quantity $\Wij \equiv \frac{1}{2}\left(W(\vec{x}_{ij}, h_i) +
\nabla_x W(\vec{x}_{ij},h_j)\right)$. \nabla_x W(\vec{x}_{ij},h_j)\right)$.
%######################################################################################################### %#######################################################################################################
\subsection{\MinimalSPH} \subsection{\MinimalSPH}
\label{sec:sph:minimal} \label{sec:sph:minimal}
...@@ -174,7 +148,7 @@ where, as above, the last two updated quantities are obtained using ...@@ -174,7 +148,7 @@ where, as above, the last two updated quantities are obtained using
the pre-defined equation of state. Note that the thermal energy $u_i$ the pre-defined equation of state. Note that the thermal energy $u_i$
itself is \emph{not} updated. itself is \emph{not} updated.
%######################################################################################################### %#######################################################################################################
\subsection{Gadget-2 SPH} \subsection{Gadget-2 SPH}
\label{sec:sph:gadget2} \label{sec:sph:gadget2}
...@@ -281,7 +255,7 @@ the pre-defined equation of state. Note that the entropic function $A_i$ ...@@ -281,7 +255,7 @@ the pre-defined equation of state. Note that the entropic function $A_i$
itself is \emph{not} updated. itself is \emph{not} updated.
%######################################################################################################### %#######################################################################################################
\subsection{Pressure-Entropy SPH} \subsection{Pressure-Entropy SPH}
\label{sec:sph:pe} \label{sec:sph:pe}
...@@ -351,7 +325,3 @@ Dalla Vecchia (\textit{in prep.}), also described in section 2.2.2 of ...@@ -351,7 +325,3 @@ Dalla Vecchia (\textit{in prep.}), also described in section 2.2.2 of
\cite{Schaller2015}.\\ \cite{Schaller2015}.\\
\label{sec:sph:anarchy} \label{sec:sph:anarchy}
\tbd \tbd
\bibliographystyle{mnras}
\bibliography{./bibliography.bib}
\end{document}
\documentclass[fleqn, usenatbib, useAMS]{mnras}
\usepackage{graphicx}
\usepackage{amsmath,paralist,xcolor,xspace,amssymb}
\usepackage{times}
\usepackage[super]{nth}
\newcommand{\swift}{{\sc swift}\xspace}
\newcommand{\gadget}{{\sc gadget}\xspace}
\newcommand{\dd}[2]{\frac{\partial #1}{\partial #2}}
\renewcommand{\vec}[1]{{\mathbf{#1}}}
\newcommand{\Wij}{\overline{\nabla_xW_{ij}}}
\newcommand{\tbd}{\textcolor{red}{TO BE DONE}}
\newcommand{\MinimalSPH}{\textsc{minimal-sph}\xspace}
\newcommand{\GadgetSPH}{\textsc{gadget-sph}\xspace}
\newcommand{\PESPH}{\textsc{pe-sph}\xspace}
%\setlength{\mathindent}{0pt}
%opening
\title{SPH flavours in SWIFT}
\author{Matthieu Schaller}
\begin{document}
\maketitle
\input{sph_flavours}
\bibliographystyle{mnras}
\bibliography{./bibliography}
\end{document}
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