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\title{The Role of Coordinates in the Accurate Computation of 
Discontinuous Flow}
\author{Grafton W.H. Hui \\
Department of Mathematics, \\
The Hong Kong University of Science and Technology \\
Clear Water Bay, Hong Kong}
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Coordinate systems play a crucial role in the accurate computation of
discontinuous flow.  For two-dimensional steady supersonic flow the system
based on streamlines and their orthogonals is found to be the optimal in
that it is most robust and it produces infinite shock and spliline
resolution.  These hold for unsteady flow also.  However, such an optimal
coordinate system is shown not to exist for general three-dimensional flow.
Nevertheless, a system using stream surfaces as coordinate surfaces has the 
property of resolving slip surfaces crisply.

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Da-yong Cai


