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

Journal article (2016)

Authors

L. Chen Hunan University, Aerodynamics - Aerospace Engineering
Xu Qu Hu Hunan University
Research Group
Aerodynamics (Aerospace Engineering) (TU Delft)
Variational multiscale method Variational Germano identity Goal-oriented optimization Stokes equations
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Published Date

2016

Language

English

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Faculty

Aerospace Engineering

Department

Flow Physics and Technology

Research Group

Aerodynamics

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.