A Boltzmann scheme with physically relevant discrete velocities for Euler equations

Simple and robust contact-discontinuity capturing central algorithms for high speed compressible flows

“…On the whole, the new central scheme RICCA a) can capture steady grid-aligned contact-discontinuities exactly, b) has sufficient numerical diffusion near shocks so as to avoid shock instabilities, c) does not need entropy fix for at sonic points d) is not tied down to the eigen-structure, e) hence can be easily extended to any general equation of state, without modification. A similar strategy was introduced by N.V. Raghavendra in [31] to design an accurate contact-discontinuity capturing discrete velocity Boltzmann scheme for inviscid compressible flows.…”