In this paper, the new Lagrangian method introduced by Loh and Hui is
extended for 3D steady supersonic flow computation. We present the der
ivation of the conservation form and the solution of the local Riemann
solver using the Godunov and the high resolution TVD schemes. The new
approach is accurate and robust, capable of handling complicated geom
etry and interactions between discontinuous waves. As shown in the tes
t problems, the current Lagrangian method retains all the advantages c
laimed in the 2D method, e.g., crisp resolution of a slip-surface (con
tact discontinuity) and automatic grid generation. In this paper, we a
lso suggest a novel 3D Riemann problem in which interesting and intric
ate flow features are present. (C) 1994 Academic Press, Inc.