Some cell-centered Lagrangian Lax–Wendroff HLL hybrid schemes

Abstract

Lagrangian hydrodynamics is treated by the Lax–Wendroff method with the dissipative fluxes in the HLL form, including both artificial viscosity and artificial energy flux. The symmetry of results for the Noh problem on a Cartesian mesh is very good. On material interfaces we employ the EUCCLHYD nodal solver at the interface nodes with 1D acoustic approximate Riemann solver on the interface edges. The proposed method works reasonably well on several hydrodynamic tests, including Noh, Sedov, Saltzman, Sod, Woodward–Collela and triple-point.