关键词: 基函数法, 非结构网格, 黏性可压缩流动

Abstract: The application of basic function method in compressible viscous flowis discussed. By using first order trigonometric function as basic function, the central and upwind schemes of derivative are constructed. The technique of flux splitting method and the combination of central and upwind schemes are utilized to deal with the convection term of compressible Navior-Stokes equation. As for the viscosity term, only central scheme is used. A new basic function scheme for compressible viscous flowis constructed. Several numerical results of two examples for two dimensional and three dimensional axisymmetric compressible viscous supersonic steady flow illustrate the effectiveness of basic function method in dealing with compressible viscous flow.

Key words: basic function method, unstructured grid, compressible viscous flow