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Volume 18, Issue 2
Energy and Enstrophy Study of the Time Relaxation Model

Tahj Hill, Monika Neda, Eric Olson & Faranak Pahlevani

Int. J. Numer. Anal. Mod., 18 (2021), pp. 165-189.

Published online: 2021-03

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  • 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

Time relaxation, finite element, spectral method, energy, enstrophy.

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-18-165, author = {Hill , TahjNeda , MonikaOlson , Eric and Pahlevani , Faranak}, title = {Energy and Enstrophy Study of the Time Relaxation Model}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2021}, volume = {18}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/18713.html} }
TY - JOUR T1 - Energy and Enstrophy Study of the Time Relaxation Model AU - Hill , Tahj AU - Neda , Monika AU - Olson , Eric AU - Pahlevani , Faranak JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 165 EP - 189 PY - 2021 DA - 2021/03 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/18713.html KW - Time relaxation, finite element, spectral method, energy, enstrophy. AB -

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.

Hill , TahjNeda , MonikaOlson , Eric and Pahlevani , Faranak. (2021). Energy and Enstrophy Study of the Time Relaxation Model. International Journal of Numerical Analysis and Modeling. 18 (2). 165-189. doi:
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