Sensitivity analysis and computations of the time relaxation model

Monika Neda, Faranak Pahlevani, Jiajia Waters

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)89-115
Number of pages27
JournalAdvances in Applied Mathematics and Mechanics
Volume7
Issue number1
DOIs
StatePublished - Jan 1 2015

Fingerprint

Relaxation Time
Relaxation time
Sensitivity analysis
Sensitivity Analysis
Partial differential equations
Crank-Nicolson Method
Model
Finite element method
Numerical Comparisons
Fluid Model
Fluids
Numerical Study
Finite Difference
Partial differential equation
Discretization
Finite Element Method
Computing
Coefficient

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Applied Mathematics

Cite this

@article{38c1fd84bbec4a61b70ce5a1c903f901,
title = "Sensitivity analysis and computations of the time relaxation model",
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.",
author = "Monika Neda and Faranak Pahlevani and Jiajia Waters",
year = "2015",
month = "1",
day = "1",
doi = "10.4208/aamm.2013.m296",
language = "English (US)",
volume = "7",
pages = "89--115",
journal = "Advances in Applied Mathematics and Mechanics",
issn = "2070-0733",
publisher = "Global Science Press",
number = "1",

}

Sensitivity analysis and computations of the time relaxation model. / Neda, Monika; Pahlevani, Faranak; Waters, Jiajia.

In: Advances in Applied Mathematics and Mechanics, Vol. 7, No. 1, 01.01.2015, p. 89-115.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Sensitivity analysis and computations of the time relaxation model

AU - Neda, Monika

AU - Pahlevani, Faranak

AU - Waters, Jiajia

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

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 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.

UR - http://www.scopus.com/inward/record.url?scp=84907764320&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907764320&partnerID=8YFLogxK

U2 - 10.4208/aamm.2013.m296

DO - 10.4208/aamm.2013.m296

M3 - Article

AN - SCOPUS:84907764320

VL - 7

SP - 89

EP - 115

JO - Advances in Applied Mathematics and Mechanics

JF - Advances in Applied Mathematics and Mechanics

SN - 2070-0733

IS - 1

ER -