A unified construction of all-speed HLL-type schemes for hypersonic heating computations
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Publication:6362617
DOI10.1016/J.COMPFLUID.2021.105215arXiv2103.06374MaRDI QIDQ6362617
Weijie Ren, Hang Yu, Ye Zhang, Zhengyu Tian, Wenjia Xie
Publication date: 20 February 2021
Abstract: In this paper, a unified framework to develop all-speed HLL-type schemes for hypersonic heating computations is constructed. Such a unified construction method combines two effective improving techniques: a shock robustness improvement and a low-Mach number fix. It is implemented by properly modifying the approximate solutions of the local Riemann problem in the HLL framework, resulting in two all-speed HLL-type schemes, namely ASHLLC and ASHLLEM solvers. Results from both numerical analysis and experiments demonstrate that the newly proposed schemes not only preserve desirable properties of their original versions, but are also able to provide accurate and robust solutions for complex flows ranging from low-Mach number incompressible to hypersonic compressible regimes. Thus, both the ASHLLC and ASHLLEM schemes can be used as reliable methods for hypersonic heating computations.
Finite volume methods applied to problems in fluid mechanics (76M12) Hypersonic flows (76K05) Mathematical modeling or simulation for problems pertaining to classical thermodynamics (80-10)
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