TY - JOUR
T1 - A Discriminant Parameter Determining Technique in Variational Multiscale Method for Stokes Equations
AU - Chen, L.
AU - Hu, Xu Qu
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - goal-oriented optimization
KW - stokes equations
KW - variational Germano identity
KW - Variational multiscale method
UR - http://www.scopus.com/inward/record.url?scp=84994633354&partnerID=8YFLogxK
U2 - 10.1142/S0219876217500487
DO - 10.1142/S0219876217500487
M3 - Article
AN - SCOPUS:84994633354
SN - 0219-8762
VL - 14
JO - International Journal of Computational Methods
JF - International Journal of Computational Methods
IS - 5
ER -