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Volume 7, Issue 1
Sensitivity Analysis and Computations of the Time Relaxation Model

Monika Neda, Fran Pahlevani & Jiajia Waters

DOI: 10.4208/aamm.2013.m296

Adv. Appl. Math. Mech., 7 (2015), pp. 89-115.

Published online: 2018-03

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  • 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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@Article{AAMM-7-89, author = {Neda , MonikaPahlevani , Fran and Waters , Jiajia}, title = {Sensitivity Analysis and Computations of the Time Relaxation Model}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {7}, number = {1}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m296}, url = {http://global-sci.org/intro/article_detail/aamm/10946.html} }
TY - JOUR T1 - Sensitivity Analysis and Computations of the Time Relaxation Model AU - Neda , Monika AU - Pahlevani , Fran AU - Waters , Jiajia JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 89 EP - 115 PY - 2018 DA - 2018/03 SN - 7 DO - http://doi.org/10.4208/aamm.2013.m296 UR - https://global-sci.org/intro/article_detail/aamm/10946.html KW - AB -

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.

Neda , MonikaPahlevani , Fran and Waters , Jiajia. (2018). Sensitivity Analysis and Computations of the Time Relaxation Model. Advances in Applied Mathematics and Mechanics. 7 (1). 89-115. doi:10.4208/aamm.2013.m296
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