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Penalization method for the Navier-Stokes-Fourier system

SYSNO ASEP	0561461
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Penalization method for the Navier-Stokes-Fourier system
Author(s)	Basarić, Danica (MU-W)_{SAI, ORCID} Feireisl, Eduard (MU-W)_{RID, SAI, ORCID} Lukáčová-Medviďová, M. (DE) Mizerová, Hana (MU-W)_{SAI, RID} Yuan, Y. (DE)
Source Title	ESAIM. Mathematical Modelling and Numerical Analysis - ISSN 2822-7840 Roč. 56, č. 6 (2022), s. 1911-1938
Number of pages	28 s.
Language	eng - English
Country	FR - France
Keywords	Navier-Stokes-Fourier system ; penalization method ; Dirichlet problem ; finite volume method
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	GA21-02411S GA ČR - Czech Science Foundation (CSF)
Method of publishing	Open access
Institutional support	MU-W - RVO:67985840
UT WOS	000853539100001
EID SCOPUS	85137771495
DOI	10.1051/m2an/2022063
Annotation	We apply the method of penalization to the Dirichlet problem for the Navier-Stokes-Fourier system governing the motion of a general viscous compressible fluid confined to a bounded Lipschitz domain. The physical domain is embedded into a large cube on which the periodic boundary conditions are imposed. The original boundary conditions are enforced through a singular friction term in the momentum equation and a heat source/sink term in the internal energy balance. The solutions of the penalized problem are shown to converge to the solution of the limit problem. In particular, we extend the available existence theory to domains with rough (Lipschitz) boundary. Numerical experiments are performed to illustrate the efficiency of the method.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2023
Electronic address	https://doi.org/10.1051/m2an/2022063

Number of the records: 1