摘要
This paper is about the positivity analysis of a class of flux-vector splitting (FVS) methods for the compressible Euler equations, which include gas-kinetic Beam scheme[8], Steger-Warming FVS method[9], and Lax-Friedrichs scheme. It shows that the density and the internal energy could keep non-negative values under the CFL condition for all above three schemes once the initial gas stays in a physically realizable state. The proof of positivity is closely related to the pseudo-particle representation of FVS schemes.
This paper is about the positivity analysis of a class of flux-vector splitting (FVS) methods for the compressible Euler equations, which include gas-kinetic Beam scheme[8], Steger-Warming FVS method[9], and Lax-Friedrichs scheme. It shows that the density and the internal energy could keep non-negative values under the CFL condition for all above three schemes once the initial gas stays in a physically realizable state. The proof of positivity is closely related to the pseudo-particle representation of FVS schemes.
出处
《计算数学》
CSCD
北大核心
2001年第4期469-476,共8页
Mathematica Numerica Sinica
基金
国家自然科学基金(19901031)
国家重点基础研究发展规划项目
计算物理国家级重点实验室基金
和科学与区程计算国家重点