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Sensitivity Analysis and Computations of the Time Relaxation Model

Published online by Cambridge University Press:  09 January 2015

Monika Neda ,
Fran Pahlevani  and
Jiajia Waters
Monika Neda
Affiliation:
Department of Mathematics, University of Nevada, Las Vegas, NV 89154, USA
Fran Pahlevani*
Affiliation:
Department of Mathematics, Penn State University-Abington College, PA 19001, USA
Jiajia Waters
Affiliation:
Department of Mathematics, University of Nevada, Las Vegas, NV 89154, USA
*
*Email:monika.neda@unlv.edu(M. Neda), fxp10@psu.edu(F. Pahlevani), wangj16@unlv.nevada.edu(J. Waters)
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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 χ. 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.

Keywords

65M6065M1276D99Sensitivity analysistime relaxation modelNavier-Stokes equationsfinite element method

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Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 7 , Issue 1 , February 2015 , pp. 89 - 115
Copyright
Copyright © Global Science Press Limited 2015 

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