• Corpus ID: 244909230

A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity

@article{Birke2021ALM,
  title={A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity},
  author={Claudius Birke and Christophe Chalons and Christian Klingenberg},
  journal={ArXiv},
  year={2021},
  volume={abs/2112.02986}
}
We present a numerical approximation of the solutions of the Euler equations with a gravitational source term. On the basis of a Suliciu type relaxation model with two relaxation speeds, we construct an approximate Riemann solver, which is used in a first order Godunov-type finite volume scheme. This scheme can preserve both stationary solutions and the low Mach limit to the corresponding incompressible equations. In addition, we prove that our scheme preserves the positivity of density and… 

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