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.

翻译：我们采用对Drichlet问题的处罚方法,即纳维埃-斯托克斯-四轮制,对限制在受约束的利普施茨域域内的一般可压缩压缩液体的运动进行处罚,物理域嵌入一个大立方体,对立方体施加定期边界条件,最初的边界条件通过动力方程式中的单一摩擦条件和内部能源平衡中的热源/汇用词强制执行,受处罚问题的解决方案被证明与极限问题的解决方案趋同,进行数字实验以说明方法的效率。