Weighted compact nonlinear scheme based on smooth scale separation for self-adaptive turbulence eddy simulations

被引:4
|
作者
Wu, Wenchang [1 ]
Han, Xingsi [1 ]
Min, Yaobing [2 ]
Ma, Yankai [2 ]
Yan, Zhen-Guo [2 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Coll Energy & Power Engn, Nanjing 210016, Peoples R China
[2] State Key Lab Aerodynam, Mianyang 621000, Peoples R China
基金
中国国家自然科学基金;
关键词
ESSENTIALLY NONOSCILLATORY SCHEMES; FINITE-DIFFERENCE SCHEMES; TARGETED ENO SCHEMES; NUMERICAL-SIMULATION; ORDER; EFFICIENT; MODELS; FILTER; RANS;
D O I
10.1063/5.0212847
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Multiscale compressible turbulent flow is widely present in the aerospace field, and the co-existence of shock wave discontinuities and multi-scale turbulence in the flow field poses significant challenges for high-fidelity numerical simulation. To design high-order nonlinear scheme to improve the accuracy of complex turbulence simulation with stable shock wave capture, a weighted compact nonlinear scheme - targeted essentially non-oscillatory (WCNS-T) scheme is developed based on targeted essentially non-oscillatory scheme within the WCNS framework. Also, an improved variant of WCNS-T with smooth scale separation (denoted as WCNS-ST) is proposed from the perspective of both numerical convergence and accuracy. The numerical properties of different nonlinear weights are discussed in classical numerical problems, including spectral properties analysis, and two-dimensional Riemann problem. Then, the newly developed WCNS-ST scheme based on smooth scale separation was used to combine a unified turbulence model called Self-Adaptive Turbulence Eddy Simulation (SATES), which is applied to simulate subsonic flow past a 30P30N airfoil and supersonic base flow. The good convergence and numerical results are obtained using the newly developed WCNS-ST scheme, whereas WCNS-T shows worse convergence. In addition, adaptive dissipation control is further introduced for the WCNS-ST scheme, and the new variant (denoted as WCNS-STA) still shows good residual convergence and predicts more accurate results due to low numerical dissipation. The above results indicate that the proposed smooth scale separation and its WCNS-STA scheme have a good performance in SATES simulations of multiscale flow problems, making it more potential for complex engineering applications.
引用
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页数:15
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