A convergent numerical method for the full Navier-Stokes-Fourier system in smooth physical domains

0463984 - MÚ 2017 RIV US eng J - Journal Article
Feireisl, Eduard - Hošek, Radim - Michálek, Martin
A convergent numerical method for the full Navier-Stokes-Fourier system in smooth physical domains.
SIAM Journal on Numerical Analysis. Roč. 54, č. 5 (2016), s. 3062-3082. ISSN 0036-1429. E-ISSN 1095-7170
EU Projects: European Commission(XE) 320078 - MATHEF
Institutional support: RVO:67985840
Keywords : Navier-Stokes-Fourier system * finite element method * finite volume method
Subject RIV: BA - General Mathematics
Impact factor: 1.978, year: 2016
http://epubs.siam.org/doi/abs/10.1137/15M1011809

We propose a mixed finite volume-finite element numerical method for solving the full Navier-Stokes-Fourier system describing the motion of a compressible, viscous, and heat conducting fluid. The physical domain occupied by the fluid has a smooth boundary and it is approximated by a family of polyhedral numerical domains. Convergence and stability of the numerical scheme is studied. The numerical solutions are shown to converge, up to a subsequence, to a weak solution of the problem posed on the limit domain.
Permanent Link: http://hdl.handle.net/11104/0263075