Penalization method for the Navier-Stokes-Fourier system
Analysis of PDEs
2021-12-21 v1 Numerical Analysis
Numerical Analysis
Abstract
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. Numerical experiments are performed to illustrate the efficiency of the method.
Cite
@article{arxiv.2112.10549,
title = {Penalization method for the Navier-Stokes-Fourier system},
author = {Danica Basarić and Eduard Feireisl and Mária Lukáčová-Medviďová and Hana Mizerová and Yuhuan Yuan},
journal= {arXiv preprint arXiv:2112.10549},
year = {2021}
}