Penalization method for the Navier–Stokes–Fourier system

Author:

Basarić Danica,Feireisl Eduard,Lukáčová-Medvid’ová Mária,Mizerová Hana,Yuan Yuhuan

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. 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.

Funder

Grantová Agentura České Republiky

Deutsche Forschungsgemeinschaft

Sino-German (CSC-DAAD) Postdoc Scholarship Program

Publisher

EDP Sciences

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Taylor–Couette flow with temperature fluctuations: Time periodic solutions;Mathematical Models and Methods in Applied Sciences;2023-03-25

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