Title

Energy and Enstrophy Study of the Time Relaxation Model

Document Type

Article

Publication Date

1-1-2021

Publication Title

International Journal of Numerical Analysis and Modeling

Volume

18

Issue

2

First page number:

165

Last page number:

189

Abstract

This paper presents an investigation of the convergence of an Oseen type of problem for a fluid model known as Time Relaxation Model, TRM. Furthermore conservation of energy and enstrophy of TRM are presented along with a dimensional analysis study of these properties. The paper contains two types of numerical experiments, one of which is based on finite element discretization that employs the Oseen type of problem for dealing with the nonlinearity of the TRM. The second type is the spectral related tests for the study of TRM dimensional analysis. Our numerical experiments confirm the theoretical findings.

Keywords

Energy; Enstrophy; Finite element; Spectral method; Time relaxation

Disciplines

Mathematics

Language

English


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