学术报告

On the convergence of numerical solutions for compressible Navier-Stokes-Fourier system

发布人:发布时间: 2019-10-07

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题目:On the convergence of numerical solutions for compressible Navier-Stokes-Fourier system

报告人:佘邦伟(捷克科学院数学研究所

摘要:We study the convergence of a finite volume scheme for the Navier–Stokes–Fourier system describing the motion of compressible viscous and heat conducting fluids. The numerical flux uses upwinding with an additional numerical diffusion of order O(hε+1), 0 < ε < 1. The approximate solutions are piecewise constant functions with respect to the underlying mesh. We show that any uniformly bounded sequence of numerical solutions converges unconditionally to the solution of the Navier-Stokes-Fourier system. In particular, the existence of the solution to the Navier-Stokes-Fourier system is not a priori assumed.

时间:2019年10月7日 17:00

地点:蒙民伟楼1105

邀请人:吕勇 老师