151. An accurate and robust HLLC‐type Riemann solver for the compressible Euler system at various Mach numbers.
- Author
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Xie, Wenjia, Zhang, Ran, Lai, Jianqi, and Li, Hua
- Subjects
EULER equations ,MACH number ,INCOMPRESSIBLE flow - Abstract
Summary: A simple, robust, and accurate HLLC‐type Riemann solver for the compressible Euler equations at various Mach numbers is built. To cure shock instability of the HLLC solver at strong shocks, a pressure‐control technique, which plays a role in limiting the propagation of erroneous pressure perturbation, is proposed. With an all Mach correction method for the compressible Euler system, the proposed method is further extended to compute flow problems at low Mach numbers. The proposed all Mach HLLC‐type scheme has been implemented and used to compute a variety of flow problems ranging from hypersonic compressible to low Mach incompressible flow regimes. Various numerical results demonstrate that the obtained all Mach HLLC‐type scheme is both accurate and stable for all speed ranges. A simple, robust and accurate HLLC‐type Riemann solver for the compressible Euler equations at various Mach numbers is built. The proposed solver is endowed with a high level of robustness against shock instability while preserves sharp capturing of different kinds of discontinuities. With an all Mach correction, it is able to maintain solution accuracy and efficiency for computations of flow at all speeds [ABSTRACT FROM AUTHOR]
- Published
- 2019
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