A Class of Structurally Complete Approximate Riemann Solvers for Trans- and Supercritical Flows with Large Gradients

An adaptive primitive-conservative scheme for high speed transcritical flow with an arbitrary equation of state

“…Previous studies have shown that the fluxes of the Euler equation are convex, hence this discontinuity should not exist in rarefaction. Wang et.al 35,36 recently suggested a structurally complete approximate Riemann solution (StARS) for transcritical flow in the context of cubic state equations in order to restore the expansion wave. Some complex EoS may affect the convexity of isentropes [37][38][39] , re-sulting in anomalous wave structures such as composite or split waves.…”