A second-order gamma-model BGK scheme for multimaterial compressible flows

作者：Jiang Song; Ni Guoxi^*

来源：Applied Numerical Mathematics, 2007, 57(5-7): 597-608.

DOI：10.1016/j.apnum.2006.07.024

• compressible multifluids
• 2nd-order gamma-model BGK scheme
• y-model
• gas kinetic BGK scheme
• directional splitting

We present a second-order gamma-model BGK scheme for compressible multimaterial flows, which extends the authors' earlier work on a first-order scheme [S. Jiang, G. Ni, A gamma-model BGK scheme for compressible multifluids, Internat. J. Numer. Methods Fluids 46 (2004) 163-182]. The scheme is based on the incorporation of a conservative gamma-model scheme given in [R. Abgrall, How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach, J. Comput. Phys. 125 (1996) 150-160] into the gas kinetic BGK scheme [K.H. Prendergast, K. Xu, Numerical hydrodynamics from gas-kinetic theory, J. Comput. Phys. 109 (1993) 53-66; K. Xu, K.H. Prendergast, Numerical Navier-Stokes solutions from gas kinetic theory, J. Comput. Phys. 114 (1994) 9-17]. Several numerical examples presented in this paper validate the scheme in numerical simulations of compressible multifluids.

• 出版日期2007-7
• 单位北京应用物理与计算数学研究所