A second-order BGK scheme for the equations of radiation hydrodynamics

作者：Jiang Song; Sun Wenjun^*

来源：International Journal for Numerical Methods in Fluids, 2007, 53(3): 391-416.

DOI：10.1002/fld.1284

• radiation hydrodynamics
• zero diffusion
• second-order BGK scheme
• KFVS scheme

We present a second-order BGK scheme for the equations of multidimensional radiation hydrodynamics (RHE) in zero diffusion limit by using the generalized Maxwellian (Comput. Fluids 2000; 29:917-933) and the second-order BGK scheme for the Euler equations (J. Comput. Phys. 1993; 109:53-66; Gas Kinetic Scheme for Unsteady Compressible Flow Simulations. Lecture Note Series 1998-03. Von Karman Institute for Fluid Dynamics, 1998). This extends a (first-order) kinetic flux vector splitting scheme (KFVS) for RHE (Tang and Wu (2000)) to a second-order BGK scheme. Several one- and two-dimensional numerical examples demonstrate improvement of the scheme in accuracy and resolution compared with the KFVS scheme (Tang and Wu (2000)) and the first-order BGK scheme.

• 出版日期2007-1-30
• 单位北京应用物理与计算数学研究所