Application of HLLE++ scheme in the simulation of high Mach number cavity flow
Received:May 09, 2021  Revised:August 20, 2021
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DOI:10.7511/jslx20210509002
KeyWord:unstructured hybrid grid  cavity flow  HLLE++ scheme  number simulation
                 
AuthorInstitution
张培红 中国空气动力研究与发展中心 计算空气动力研究所, 绵阳
罗磊 中国空气动力研究与发展中心 计算空气动力研究所, 绵阳
贾洪印 中国空气动力研究与发展中心 计算空气动力研究所, 绵阳
赵炜 中国空气动力研究与发展中心 计算空气动力研究所, 绵阳
张耀冰 中国空气动力研究与发展中心 计算空气动力研究所, 绵阳
吴晓军 中国空气动力研究与发展中心 计算空气动力研究所, 绵阳
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Abstract:
      Cavity flow is very complex,and there are phenomena such as shear layer motion,vortex shedding and rupture,as well as interaction between shock and shock,shock and shear layer,shock and expansion wave,shock wave,vortex and shear layer.Especially at high Mach number(M>2),the shear layer and shock wave are stronger,and the interaction between shock waves is more serious.Therefore,high Mach number cavity simulation requires higher-accuracy numerical schemes.It is necessary for the schemes to not only have low dissipation and high simulation accuracy for separated vortices,but also have large dissipation near the shock wave to better capture the shock wave and prevent the emergence of non-physical solutions.The approximate Riemann schemes such as Roe,HLLC and so on may cause the Ruby phenomenon at high Mach number strong shock wave,and the HLLE++ scheme greatly overcomes this defect.HLLE++ scheme avoids the occurrence of the Ruby phenomenon when capturing hypersonic shock wave,and maintains the low numerical dissipation in the boundary layer.Based on the HLLE++ scheme on the structured grid,the HLLE++ method on the unstructured hybrid grid is established by improving the solution method of shock detection.The ability of the HLLE++ scheme to simulate high Mach number flow is verified by the inviscid slope example.The HLLE++ scheme is applied to the numerical simulation of high Mach number cavity flow,and the effects of grids and turbulence model are studied.At the same time,the reliability and effectiveness of the method for simulating the flow of high Mach number cavity are verified.