New invariant domain preserving finite volume schemes for compressible flows

0542808 - MÚ 2022 RIV CH eng C - Conference Paper (international conference)
Lukáčová-Medviďová, M. - Mizerová, Hana - She, Bangwei
New invariant domain preserving finite volume schemes for compressible flows.
Recent Advances in Numerical Methods for Hyperbolic PDE Systems. Cham: Springer, 2021 - (Muñoz-Ruiz, M.; Parés, C.; Russo, G.), s. 131-153. SEMA SIMAI Springer Series, 28. ISBN 978-3-030-72849-6. ISSN 2199-3041.
[Numerical methods for hyperbolic problems. Málaga (ES), 17.06.2019-21.06.2019]
R&D Projects: GA ČR(CZ) GA18-05974S
Institutional support: RVO:67985840
Keywords : compressible Euler and Navier-Stokes-Fourier systems * finite volume methods * invariant domain preserving properties * entropy stability convergence
OECD category: Pure mathematics
https://doi.org/10.1007/978-3-030-72850-2_6

We present new invariant domain preserving finite volume schemes for the compressible Euler and Navier–Stokes–Fourier systems. The schemes are entropy stable and preserve positivity of density and internal energy. More importantly, their convergence towards a strong solution of the limit system has been proved rigorously in [9, 11]. We will demonstrate their accuracy and robustness on a series of numerical experiments.
Permanent Link: http://hdl.handle.net/11104/0320150