An approximate solver for multi-medium Riemann problem with Mie-Gruneisen equations of state

作者：Chen, Li; Li, Ruo^*; Yao, Chengbao

来源：Research in the Mathematical Sciences, 2018, 5(3): 31.

DOI：10.1007/s40687-018-0147-z

• Multi-medium Riemann problem
• Approximate Riemann solver
• Mie-Gruneisen equation of state
• Multi-medium flow

We propose an approximate solver for multi-medium Riemann problems with materials described by a family of general Mie-Gruneisen equations of state, which are widely used in practical applications. The solver provides the interface pressure and normal velocity by an iterative method. The well-posedness and convergence of the solver is verified with mild assumptions on the equations of state. To validate the solver, it is employed in computing the numerical flux on phase interfaces of a numerical scheme on Eulerian grids that was developed recently for compressible multi-medium flows. Numerical examples are presented for Riemann problems, air blast and underwater explosion applications.

• 出版日期2018-6-28
• 单位北京大学; 西北核技术研究所