Year: 2021
Author: Tahj Hill, Monika Neda, Eric Olson, Faranak Pahlevani
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 2 : pp. 165–189
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2021-IJNAM-18713
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 2 : pp. 165–189
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Time relaxation finite element spectral method energy enstrophy.