Entropy Stability and High-order Approximation of the Compressible Euler Equations
Tuesday, October 23, 3:30PM – 5PM
This talk will discuss questions regarding parabolic regularization of the Euler equations and entropy stability. A sub-class of parabolic regularizations is identified that yields a minimum entropy principle and various entropy inequalities independently of the equation of state, provided a convex entropy exists. It is shown in particular that the Navier-Stokes regularization is not an appropriate regularization of the Euler equations.
The consequences of this property will be illustrated numerically using continuous Lagrange elements and a Galerkin technique that does not use any slope limiter.
Hosted by Leszek Demkowicz