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

• Autores: Song Jiang, Guoxi Ni
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 57, Nº. 5-7, 2007, págs. 597-608
• Idioma: inglés
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• Resumen

  • We present a second-order ?-model BGK scheme for compressible multimaterial flows, which extends the authors' earlier work on a first-order scheme [S. Jiang, G. Ni, A ?-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 ?-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.