2015/05/26 by Manuel Jung, Jung, Manuel, Tobias F. Illenseer +4
Engineering · Mathematics · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Instrumentation and Methods for Astrophysics (astro-ph.IM) #astro-ph.IM #physics.comp-ph #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1505.06974
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openalex publication_date 2015/05/26 · arxiv created 2015/07/17 · arxiv updated 2015/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The importance of contact discontinuities in 2D isothermal flows has rarely been discussed, since most Riemann solvers are derived for 1D Euler equations. We present a new contact resolving approximate Riemann solver for the isothermal Euler equations and show its performance for several one- and two-dimensional test problems. The new solver extends the well-known HLL solver, while retaining its computational simplicity. The significant gain in resolution of vortices is displayed by a simulation of the Kármán vortex street. We discuss the loss of Galilean invariance and its implications for the resolution of contact discontinuities, which is experienced by all modern numerical schemes for hydrodynamics in non-moving grids.