5 problems

Approximate Riemann solvers use numerical mass fluxes, and a pressure jump term is a term in that flux proportional to a pressure jump. Liou's conjecture. Schemes that suffer from…

Consider Thornber et al.'s low-Mach modification of reconstructed interface velocities in Godunov-type schemes, in which the velocity difference is reduced as the Mach number decre…

The HLLCM and HLLEC schemes are approximate Riemann solvers, and a shear velocity perturbation is a perturbation in the velocity component tangential to the shock or grid-aligned n…

An upwind numerical scheme is strictly stable when its perturbations decay rather than merely remaining bounded, and it exactly resolves contact discontinuities when those disconti…

Consider the modified c-Riemann solver $\mathcal{RS}_{\rm h}$ and the solver $\mathcal{RS}_{\rm v}$, and let $\Delta t$ denote a time step in a regime where chattering occurs. Vani…