\documentclass[]{article}




 \title{A unified algorithm for moving interfaces and mixing zones in
 a multi-component compressible fluid model}
 
 \author{Bruno Despr{\'e}s
\thanks{ Laboratoire J.-L.-Lions,
 Universit{\'e} P.-et-M.-Curie, 175, rue du Chevaleret, 75013
 Paris, France} and
Fr{\'e}d{\'e}ric
 Lagouti{\`e}re \thanks{Laboratoire J.-L.-Lions,
 Universit{\'e} P.-et-M.-Curie, 175, rue du Chevaleret, 75013
 Paris, France}
}
\begin{document}

\maketitle

 We study a unified algorithm for moving interfaces and mixing zones
 in a multi-component compressible fluid. We propose to use the
 downwind limited scheme (also called Ultra-Bee limiter in the
 context of pure advection), in order to avoid any artificial
 numerical spreading of interfaces or mixing zones. Various
 numerical simulations show the interest of this approach, for both
 interfaces and static/dynamic mixing zones.
\end{document}