Year: 2015
Author: Nermina Mujaković, Nelida Črnjarić-Žic
International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 1 : pp. 94–124
Abstract
In this paper we define a finite difference method for the nonstationary 1D flow of the compressible viscous and heat-conducting micropolar fluid, assuming that it is in the thermodynamical sense perfect and polytropic. The homogeneous boundary conditions for velocity, microrotation and heat flux are proposed. The sequence of approximate solutions for our problem is constructed by using the defined finite difference approximate equations system. We investigate the properties of these approximate solutions and establish their convergence to the strong solution of our problem globally in time, which is the main results of the paper. A numerical experiment is performed by solving the defined approximate ordinary differential equations system using strong-stability preserving (SSP) Runge-Kutta scheme for time discretization.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2015-IJNAM-480
International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 1 : pp. 94–124
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 31
Keywords: micropolar fluid flow initial-boundary value problem finite difference approximations strong and weak convergence.