Maire's New Cell-Centered Lagrangian Method Based on Arbitrary Riemann Solver

摘要

In this paper, we develop an approach to stably apply the Riemann solvers without an acoustic form to the Maire's node-based Lagrangian scheme developed in (P. H. Maire, R. Abgrall, J. Breil, et al, A cell-centered lagrangian scheme for multidimensional compressible ow problems, SIAM J. Sci. Comput, 2007, 29, 1781-1824). We apply the Dukowicz [2], HLLC Riemann solver with complex wave speed estimate and exact Riemann solver to the Maire's scheme by this approach. Numerical examples are presented to validate the Maire's scheme using these three Riemann solvers