Sensitivity Analysis and Computations of the Time Relaxation Model

Sensitivity Analysis and Computations of the Time Relaxation Model

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

Keywords:   

Author Details

Monika Neda

Fran Pahlevani

Jiajia Waters

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