Reduced order variational multiscale enrichment method for thermo-mechanical problems

2017 ◽  
Vol 59 (6) ◽  
pp. 887-907 ◽  
Author(s):  
Shuhai Zhang ◽  
Caglar Oskay
Keyword(s):  
Enrichment Method ◽  
Reduced Order ◽  
Variational Multiscale

scholarly journals Data-driven variational multiscale reduced order models

2021 ◽  
Vol 373 ◽  
pp. 113470 ◽  
Author(s):  
Changhong Mou ◽  
Birgul Koc ◽  
Omer San ◽  
Leo G. Rebholz ◽  
Traian Iliescu
Keyword(s):  
Data Driven ◽  
Reduced Order Models ◽  
Reduced Order ◽  
Variational Multiscale

scholarly journals A Proper-Orthogonal Decomposition Variational Multiscale Approximation Method for a Generalized Oseen Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
John Paul Roop
Keyword(s):  
Proper Orthogonal Decomposition ◽  
Incompressible Flows ◽  
Reduced Order Modeling ◽  
Orthogonal Decomposition ◽  
Qualitative Properties ◽  
Complex Flow ◽  
Reduced Order ◽  
Variational Multiscale ◽  
Oseen Problem ◽  
Proper Orthogonal

We introduce the variational multiscale (VMS) stabilization for the reduced-order modeling of incompressible flows. It is well known that the proper orthogonal decomposition (POD) technique in reduced-order modeling experiences numerical instability when applied to complex flow problems. In this case a POD discretization naturally separates out structures which corresponding to the energy cascade on large and small scales, in order, a VMS approach is natural. In this paper, we provide the mathematical background necessary for implementing VMS to a POD-Galerkin model of a generalized Oseen problem. We provide theoretical evidence which indicates the consistency of utilizing a VMS approach in the stabilization of reduced order flows. In addition we provide numerical experiments indicating that VMS improves fidelity in reproducing the qualitative properties of the flow.

scholarly journals A reduced order variational multiscale approach for turbulent flows

2019 ◽  
Vol 45 (5-6) ◽  
pp. 2349-2368 ◽  
Author(s):  
Giovanni Stabile ◽  
Francesco Ballarin ◽  
Giacomo Zuccarino ◽  
Gianluigi Rozza
Keyword(s):  
Turbulent Flows ◽  
Multiscale Approach ◽  
Reduced Order ◽  
Variational Multiscale
Sign in / Sign up

Export Citation Format

Share Document