On weak shock diffraction in real gases

TL;DR

This paper derives asymptotic solutions for weak shock diffraction in real gases using the Euler system with van der Waals effects, analyzing flow behavior and local structures near singular points.

Contribution

It provides the first detailed asymptotic analysis of weak shock diffraction in real gases with van der Waals effects, including flow structure near singular points.

Findings

Flow configuration is significantly influenced by real gas effects.

Local flow structures near singular points are characterized.

Asymptotic solutions match numerical simulations for weak shocks.

Abstract

Asymptotic solutions are obtained for the two-dimensional Euler system for real gases with appropriate boundary conditions which describe the diffraction of a weak shock at a right-angled wedge; the real gas effects are characterized by a van der Waals type equation of state. The behavior of the flow configuration influenced by the real gas effects, that includes the local structure near a singular point, is studied in detail.