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
Repository Citation
Hill, T.,
Neda, M.,
Olson, E.,
Pahlevani, F.
(2021).
Energy and Enstrophy Study of the Time Relaxation Model.
International Journal of Numerical Analysis and Modeling, 18(2),
165-189.