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\title{A Method for Streamline Backtracking in Two-Dimensional Flows}

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

\begin{document}

\maketitle

\begin{abstract}
  Advective transport is a feature of many mathematical models of fluid flows.
  Eulerian based representations of these processes have commonly been used,
  however, there is now a recognition that Lagrangian representations are more
  accurate and better behaved in numerical models. Lagrangian advective
  representations require calculations to determine the locations of
  streamlines in the flow. This paper presents an efficient technique for
  doing this where a two-dimensional velocity field is described using a
  computational grid comprised of quadrilaterals or triangles. These
  calculations can also be used for graphical visualisation of flow results.
\end{abstract}

\section{Introduction}
\section{Local Element Space}
\section{Preferred Orientation Space}
\section{A Generic Step}
\section{Element to Element Transfers}
\section{Boundary Techniques}
\section{Applications}
\section{Conclusions}

\end{document}