\documentclass{article}


\title{Recent developments in a two-dimensional Eulerian AMR hydrocode}

\author{Robin Gidding}

\date{ }

\begin{document}
\maketitle
A two-dimensional Adaptive Mesh Refinement hydrocode is presented.
 The code is Eulerian and consists of a Lagrangian predictor followed
 by an advection remap step. The mesh is orthogonal and uses a block
 patching strategy for refinement with a fixed ratio of 2:1 between
 levels. Parallelism is extracted by assigning patches to different
 processors. Testing indicates that the savings from mesh refinement
 are balanced by the communication overhead with about six levels of
 refinement in typical simulations.
 The advection phase uses a novel interface reconstruction routine
 which represents the material interface in each cell by two straight
 line segments instead of one which allows T-junctions to be properly
 represented. This reduces the loss of detail when features move
 through the mesh in multi-material simulations.
\end{document}