The Riemann problem for fluid flow of real materials

摘要: The Riemann problem for fluid flow of real materials is examined. An arbitrary equation state allowed, subject only to the physical requirements thermodynamics. properties isentropes and shock Hugoniot loci that follow from conditions imposed on are reviewed systematically. Important these wave curves determined by three dimensionless variables characterizing state: adiabatic exponent $\ensuremath{\gamma}$, Gr\"uneisen coefficient $\ensuremath{\Gamma}$, fundamental derivative $\mathcal{G}$. Standard assumptions break down near phase transitions. result an anomalous structure: either waves split into multiple waves, or composite form. Additional questions related stability nonuniqueness solution discussed.