Year: 2015
Author: Monika Neda, Fran Pahlevani, Jiajia Waters
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 1 : pp. 89–115
Abstract
This paper presents a numerical study of the sensitivity of a fluid model known as time relaxation model with respect to variations of the time relaxation coefficient $\chi$. The sensitivity analysis of this model is utilized by the sensitivity equation method and uses the finite element method along with Crank Nicolson method in the fully discretization of the partial differential equations. We present a test case in support of the sensitivity convergence and also provide a numerical comparison between two different strategies of computing the sensitivity, sensitivity equation method and forward finite differences.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2013.m296
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 1 : pp. 89–115
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27