03.1 - Aerodynamics – CFD Methods and Validation
A HIGH-PRECESION PSEUDO ARC-LENGTH METHOD WITH POSITIVE VALUE PRESERVATION PROPERTIES BASED ON TV SPLITTING
C. Wang¹, P. Li¹, L. He¹, G. Li¹, H. Dai¹; ¹Chinese Aeronautical Establishment, China
This paper aims to construct a flux scheme with high-resolution and robust numerical stability. The main work includes: (1) proposed a TV splitting scheme based on the complex arc-length coordinate systems. By decomposing the flux vector into convective flux and pressure flux, the TV splitting is extended from the fixed grid to the complex coordinate system; (2) Mapping non-physical space to arc-length space through coordinate transformation facilitates the construction of high-precision numerical scheme; (3) The calculation results show that the solver constructed in this paper not only has higher accuracy but also effectively overcomes numerical instability in strong shock wave simulation. The application of the numerical format constructed in this paper to complex flow problems such as compressible turbulence, as well as the development of solvers on three-dimensional spatial and unstructured grids, it is worth further research in the future.