Numerical modeling of shock-wave instability in thermodynamically nonideal media

D'yakov-Kontorovitch instability of shock waves in hot plasmas

“…Some numerical modelings have been performed [21][22][23]34]; for instance, Konyukhov et al [35] carried out hydrodynamic simulations. In a previous paper Konyukhov et al [36] had presented a numerical analysis of the nonlinear instability of shock waves for solid deuterium and for a model medium described by a properly constructed equation of state. In the work described in Ref.…”

Two‐phase states of the generalized van der Waals gas: Conditions of absolute and neutral shock wave stability

“…Note that for $$k=2$$, $$C=m=0$$, Equation () transitions into a known van der Waals gas state equation, and for $$C=m=0$$, it transitions into the equation from Konukhov et al. [22].…”

“…[22], we will take $$F(T)$$ in the following form: $$$$\begin{equation} F(T)=c_V^*T\left(1+\frac{A_1}{2}T\right), \end{equation}$$$$where $$c_V^*$$, $$A_1>0$$ are some constants (in Konukhov et al. [22], it is assumed that $$A_1=0$$). Then (see Refs.…”