A Discriminant Parameter Determining Technique in Variational Multiscale Method for Stokes Equations

L. Chen, Xu Qu Hu

Research output: Contribution to journalArticleScientificpeer-review

Abstract

A Goal-Oriented and Model-Constrained Optimization (GOMCO) approach was proposed as a discriminant technique for the Variational Geomano Method (VGM) in the coefficient determinations of variational multiscale Unresolved-Scale (URS) model in steady Stokes equations. Numerical implementations using both linear and nonlinear models were performed with both the GOMCO and VGM. Numerical results show that the coefficients determined by the GOMCO are scale-invariant, while they are scale-variant by the VGM. The GOMCO technique is found to be more appropriate for coefficient determinations in steady Stokes equations, as the VGM is sensitive to the computing procedures. Moreover, the GOMCO could provide reliable coefficients for the URS model.

Original languageEnglish
Number of pages15
JournalInternational Journal of Computational Methods
Volume14
Issue number5
DOIs
Publication statusPublished - 2016

Keywords

  • goal-oriented optimization
  • stokes equations
  • variational Germano identity
  • Variational multiscale method

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