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New invariant domain preserving finite volume schemes for compressible flows
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SYSNO ASEP 0542808 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title New invariant domain preserving finite volume schemes for compressible flows Author(s) Lukáčová-Medviďová, M. (DE)
Mizerová, Hana (MU-W) SAI, RID
She, Bangwei (MU-W) SAI, RID, ORCIDSource Title Recent Advances in Numerical Methods for Hyperbolic PDE Systems. - Cham : Springer, 2021 / Muñoz-Ruiz M. L. ; Parés C. ; Russo G. - ISSN 2199-3041 - ISBN 978-3-030-72849-6 Pages s. 131-153 Number of pages 23 s. Publication form Print - P Action Numerical methods for hyperbolic problems Event date 17.06.2019 - 21.06.2019 VEvent location Málaga Country ES - Spain Event type WRD Language eng - English Country CH - Switzerland Keywords compressible Euler and Navier-Stokes-Fourier systems ; finite volume methods ; invariant domain preserving properties ; entropy stability convergence Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA18-05974S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 EID SCOPUS 85107033288 DOI 10.1007/978-3-030-72850-2_6 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022
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