Abstract
In this paper, the new Lagrangian method introduced by Loh and Hui is extended for 3D steady supersonic flow computation. We present the derivation 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 geometry and interactions between discontinuous waves. As shown in the test problems, the current Lagrangian method retains all the advantages claimed in the 2D method, e.g., crisp resolution of a slip-surface (contact discontinuity) and automatic grid generation. In this paper, we also suggest a novel 3D Riemann problem in which interesting and intricate flow features are present.
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