Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state

Publication date: June 2020Source: Nonlinear Analysis: Real World Applications, Volume 53Author(s): Meina SunAbstractThe analytical solutions of the Riemann problem for the isentropic Euler system with the logarithmic equation of state are derived explicitly for all the five different cases. The concentration and cavitation phenomena are observed and analyzed during the process of vanishing pressure in the Riemann solutions. It is shown that the solution consisting of two shock waves converges to a delta shock wave solution as well as the solution consisting of two rarefaction waves converges to a solution consisting of four contact discontinuities together with vacuum states with three different virtual velocities in the limiting situation.

Source: Nonlinear Analysis: Real World Applications - November 16, 2019 Category: Research Source Type: research