Numerical simulation of shock-cylinder interactions. I: Resolution. (English) Zbl 0840.76067
We apply two different high-order shock capturing schemes to the study of a two-dimensional unsteady inviscid flow. In particular, we study the interaction of a planar shock with a cylindrical volume of a light gas (helium or hydrogen) contained in air. The two schemes used are the Chebyshev collocation method and the ENO finite difference scheme of Osher and Shu, and they are applied to a physical model consisting of the Euler equations with a real gas equation of state and multiple chemical species.
MSC:
76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
76M20 | Finite difference methods applied to problems in fluid mechanics |
76L05 | Shock waves and blast waves in fluid mechanics |
76V05 | Reaction effects in flows |