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Dynamic term-by-term stabilized finite element formulation using orthogonal subgrid-scales for the incompressible Navier–Stokes problem

Author
Castillo, E.; Codina, R.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2019-06
Volume
349
First page
701
Last page
721
DOI
10.1016/j.cma.2019.02.041
Repository
http://hdl.handle.net/2117/131121 Open in new window
https://www.researchgate.net/publication/326231971_Dynamic_term-by-term_stabilized_finite_element_formulation_using_orthogonal_subgrid-scales_for_the_incompressible_Navier-Stokes_problem/download Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S0045782519301124 Open in new window
Abstract
In this paper, we propose and analyze the stability and the dissipative structure of a new dynamic term-by-term stabilized finite element formulation for the Navier–Stokes problem that can be viewed as a variational multiscale (VMS) method under some assumptions. The essential point of the formulation is the time dependent nature of the subscales and, contrary to residual-based formulations, the introduction of two velocity subscale components. They represent the components of the convective a...
Citation
Castillo, E.; Codina, R. Dynamic term-by-term stabilized finite element formulation using orthogonal subgrid-scales for the incompressible Navier–Stokes problem. "Computer methods in applied mechanics and engineering", Juny 2019, vol. 349, p. 701-721.
Keywords
Stabilized finite element methods Variational multiscale Dynamic subscales Term-by-term stabilization
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants