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\title{A Network Representation of Lagrangian Advective Transport}

\author{Mark Trew \and Michael O'Sullivan}

\begin{document}

\maketitle

\begin{abstract}
The bulk or cell based integral representation of the shallow water equations
in semi-Lagrangian form lead to the proposing of a network representation of
advective transport. A network algorithm is used to calculate the source cells
contributing to a head cell over the course of a time step. The total
contribution is a weighted sum of source cell contributions. A threshold is
used to discard paths with minimal influence and so maintain a workable set of paths.
\end{abstract}

\section{Introduction}
\section{Network Proposal and Definitions}
\section{Arc Flow Proportions and Traversal Times}
\section{Network Algorithm}
\section{Examples of Applications}
\section{Conclusions}

\end{document}