A low-diffusion robust flux splitting scheme towards wide-ranging Mach number flows

被引:12
|
作者
Chen, Shusheng [1 ,2 ]
Cai, Fangjie [3 ]
Xiang, Xinghao [4 ]
Gao, Zhenghong [1 ]
Yan, Chao [5 ]
机构
[1] Northwestern Polytech Univ, Sch Aeronaut, Xian 710072, Peoples R China
[2] AVIC First Aircraft Inst, Xian 710089, Peoples R China
[3] China Acad Launch Vehicle Technol, Beijing 100076, Peoples R China
[4] China Aerodynam Res & Dev Ctr, State Key Lab Aerodynam, Mianyang 621000, Sichuan, Peoples R China
[5] Beihang Univ, Sch Aeronaut Sci & Engn, Beijing 100083, Peoples R China
关键词
Computational Fluid Dynamics (CFD); Flux splitting; Accuracy; Robustness; Wide-ranging Mach number; GODUNOV-TYPE SCHEMES; AUSM; EULER; COMPUTATIONS; IMPROVEMENT; EQUATIONS; SYSTEMS; SEQUEL;
D O I
10.1016/j.cja.2020.12.010
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
This paper develops a low-diffusion robust flux splitting scheme termed TVAP to achieve the simulation of wide-ranging Mach number flows. Based on Toro-Va? zquez splitting approach, the new scheme splits inviscid flux into convective system and pressure system. This method introduces Mach number splitting function and numerical sound speed to evaluate advection system. Meanwhile, pressure diffusion term, pressure momentum flux, interface pressure and interface velocity are constructed to measure pressure system. Then, typical test problems are utilized to systematically assess the robustness and accuracy of the resulting scheme. Matrix stability analysis and a series of numerical cases, such as double shear-layer problem and hypersonic viscous flow over blunt cone, demonstrate that TVAP scheme achieves excellent low diffusion, shock stability, contact discontinuity and low-speed resolution, and is potentially a good candidate for wide-ranging Mach number flows.& nbsp; (c) 2021 Chinese Society of Aeronautics and Astronautics. Production and hosting by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
引用
收藏
页码:628 / 641
页数:14
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