Title
An Explicitly Decoupled Variational Multiscale Method for Incompressible, Non-Isothermal Flows.
Abstract
We propose, analyze and test a fully decoupled, but still unconditionally stable and optimally accurate, variational multiscale stabilization (VMS) for incompressible, non-isothermal fluid flows. The VMS stabilization is implemented as a post-processing step, and thus can be used with existing codes. A full numerical analysis of the method is given that proves unconditional stability with respect to the timestep size, and that the method converges optimally in both time and space. Numerical tests are provided that confirm the theoretical results, and test the method on a benchmark problem for Marsigli flow.
Year
DOI
Venue
2015
10.1515/cmam-2014-0026
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS
Keywords
DocType
Volume
Boussinesq Equations,Finite Element Method,Variational Multiscale Stabilization,Non-Isothermal Flow
Journal
15
Issue
ISSN
Citations 
1
1609-4840
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Mine A. Belenli100.34
Songül Kaya200.34
Leo G. Rebholz314124.08