Parallel computation of 2-D steady supersonic flow based of the Generalized lagrangian formulation

摘要

In this paper we report on some numerical results of parallel computation in a distributed environment of two-dimensional steady supersonic flow based on the newly developed Generalized Lagrangian Formulation (GLF) with optimal grid. In this formulation, streamlines the their orthogonals are used as coordinate lines. As a result, sliplines are resolved crisply in the GLF. Fluid particles in the GLF move across cell boundaries in and only in the flow direction, and thus the convective flux is avoided. There is no severe distortion of computational grid in the physical plane. Furthermore, by adopting a shock-adaptive Godunov scheme based on the GLF, infinite shock resolution is achieved. Parallel algorithm based on the GLF is developed. The efficiency of the parallel algorithm is demonstrated by several test problems.