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 - <p style="text-align: justify;">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.<br/></p>