A CELL-CENTERED LAGRANGIAN SCHEME FOR COMPRESSIBLE MULTI-MEDIUM FLOW

作者：Wang, Donghong^*; Zhao, Ning; Wang, Yongjian

来源：Modern Physics Letters B, 2010, 24(13): 1283-1286.

DOI：10.1142/S0217984910023438

• Lagrangian method
• cell-centered scheme
• compressible multi-medium flow

In this paper, a kind of Godunov-type Lagrangian scheme is developed in the one space dimension. The Riemann problems are constructed at the interface and the velocity and pressure are evaluated using an implicit characteristic method. Two different methods are used to solve for the equation of energy conservation. Four one-dimensional numerical examples are first presented to obtain the parameter through comparison of the L(1) errors with the changing parameter values. The method having the minimal error is then extended to two dimensions and a cell-centered conservative Lagrangian scheme is proposed for the compressible multi-medium flow. The numerical results for some classical two dimensional hydrodynamic test cases show that the proposed numerical methods are effective and feasible.

• 出版日期2010-5-30
• 单位南京航空航天大学