An asymptotic-preserving scheme for Euler equations I: non-ideal gases
<|reference_start|>An asymptotic-preserving scheme for Euler equations I: non-ideal gases: {We analyze a general Implicit-Explicit (IMEX) time discretization for the compressible Euler equations of gas dynamics, showing that they are asymptotic-preserving (AP) in the low Mach number limit. The analysis is carried out for a general equation of state (EOS). We consider both a single asymptotic length scale and two length scales. We then show that, when coupling these time discretizations with a Discontinuous Galerkin (DG) space discretization with appropriate fluxes, an all Mach number numerical method is obtained. A number of relevant benchmarks for ideal gases and their non-trivial extension to non-ideal EOS validate the performed analysis.<|reference_end|>
@article{orlando2024an,
    title={An asymptotic-preserving scheme for Euler equations I: non-ideal gases},
    author={Giuseppe Orlando, Luca Bonaventura},
    journal={arXiv preprint arXiv:2402.09252},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.09252},
    primaryClass={math.NA cs.NA}
}