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论文类型：期刊论文

发表时间：2017-05-30

发表刊物：INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

收录刊物：SCIE、EI

卷号：84

期号：3

页面范围：135-151

ISSN号：0271-2091

关键字：SLAU scheme; shock instabilities; unstructured grids; hybrid scheme; scalar dissipation term; momentum fluxes

摘要：The simple low-dissipation advection upwind splitting method (SLAU) scheme is a parameter-free, low-dissipation upwind scheme that has been applied in a wide range of aerodynamic numerical simulations. In spite of its successful applications, the SLAU scheme could be showing shock instabilities on unstructured grids, as many other contact resolved upwind schemes. Therefore, a hybrid upwind flux scheme is devised for improving the shock stability of SLAU scheme, without compromising on accuracy and low Mach number performance. Numerical flux function of the hybrid scheme is written in a general form, in which only the scalar dissipation term is different from that of the SLAU scheme. The hybrid dissipation term is defined by using a differentiable multidimensional-shock-detection pressure weight function, and the dissipation term of SLAU scheme is combined with that of the Van Leer scheme. Furthermore, the hybrid dissipation term is only applied for the solution of momentum fluxes in numerical flux function. Based on the numerical test results, the hybrid scheme is deemed to be a successful improvement on the shock stability of SLAU scheme, without compromising on the efficiency and accuracy. Copyright (C) 2016 John Wiley & Sons, Ltd.