Further studies on numerical instabilities of Godunov-type schemes for strong shocks

In this paper, continuous research is undertaken to explore the underlying mechanism of numerical shock instabilities Godunov-type schemes for strong shocks. By conducting dissipation analysis and a sequence experiments, we are able clarify that instability may be attributed insufficient entropy production inside structure. As result, general entropy-control technique improving robustness various at shocks developed. It plays part in guaranteeing enough produced Furthermore, such modified approach does not introduce any additional on linear degenerate waves suppress instability. Numerical results obtained test cases indicate proposed methods have good performance terms accuracy robustness.