A hybrid numerical simulation of supersonic isotropic turbulence

Liu，Luoqin1; Wang，Jianchun2; Shi，Yipeng1; Chen，Shiyi1,2; He，X. T.1,3

2019

10.4208/CICP.OA-2018-0050

Communications in Computational Physics   影响因子和分区

1815-2406

1991-7120

This paper presents an extension work of the hybrid scheme proposed by Wang et al. [J. Comput. Phys. 229 (2010) 169-180] for numerical simulation of subsonic isotropic turbulence to supersonic turbulence regime. The scheme still utilizes an 8th-order compact scheme with built-in hyperviscosity for smooth regions and a 7th-order WENO scheme for highly compression regions, but now both in their conservation formulations and for the latter with the Roe type characteristic-wise reconstruction. To enhance the robustness of the WENO scheme without compromising its high-resolution and accuracy, the recursive-order-reduction procedure is adopted, where a new type of reconstruction-failure-detection criterion is constructed from the idea of positivity-preserving. In addition, a new form of cooling function is proposed, which is proved also to be positivity-preserving. With a combination of these techniques, the new scheme not only inherits the good properties of the original one but also extends largely the computable range of turbulent Mach number, which has been further confirmed by numerical results.

Compact scheme Hybrid scheme Positivity-preserving ROR-WENO scheme Supersonic turbulence

SCI

英语

其他

WOS:000455960000008

2-s2.0-85071452314

Scopus

1.State Key Laboratory for Turbulence and Complex Systems,Center for Applied Physics and Technology,College of Engineering,Peking University,Beijing,100871,China
2.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China
3.Institute of Applied Physics and Computational Mathematics,Beijing,100088,China

Liu，Luoqin,Wang，Jianchun,Shi，Yipeng,et al. A hybrid numerical simulation of supersonic isotropic turbulence[J]. Communications in Computational Physics,2019,25(1):189-217.

Liu，Luoqin,Wang，Jianchun,Shi，Yipeng,Chen，Shiyi,&He，X. T..(2019).A hybrid numerical simulation of supersonic isotropic turbulence.Communications in Computational Physics,25(1),189-217.

Liu，Luoqin,et al."A hybrid numerical simulation of supersonic isotropic turbulence".Communications in Computational Physics 25.1(2019):189-217.