Numerical experiments with a symmetric high-resolution shock-capturing scheme

摘要: Characteristic-based explicit and implicit total variation diminishing (TVD) schemes for the two-dimensional compressible Euler equations have recently been developed. This is a generalization of recent work Roe Davis to wider class symmetric (non-upwind) TVD other than Lax-Wendroff. The can be viewed as subset methods. main properties present are that they implicit, and, when steady-state calculations sought, numerical solution independent time step. In paper, comparison linearized form scheme with an upwind originally developed by Harten modified Yee was given. Results favored method. It found latter just accurate method while requiring less computational effort. Currently, more experiments being conducted on time-accurate effect grid topology, boundary condition procedures, different flow conditions behavior applications. purpose here report experiences this type give guidelines its use.