Time dependent subscales in the stabilized finite element approximation of incompressible flow problems

Ramon Codina; Javier Principe; Oriol Guasch; Santiago Badia

doi:10.1016/j.cma.2007.01.002

Time dependent subscales in the stabilized finite element approximation of incompressible flow problems

Ramon Codina^*
, Javier Principe
, Oriol Guasch
, Santiago Badia

^*Autor/a de correspondencia de este trabajo

Producción científica: Artículo en revista indizada › Artículo › revisión exhaustiva

204 Citas (Scopus)

Resumen

In this paper we analyze a stabilized finite element approximation for the incompressible Navier-Stokes equations based on the subgrid-scale concept. The essential point is that we explore the properties of the discrete formulation that results allowing the subgrid-scales to depend on time. This apparently "natural" idea avoids several inconsistencies of previous formulations and also opens the door to generalizations.

Idioma original	Inglés
Páginas (desde-hasta)	2413-2430
Número de páginas	18
Publicación	Computer Methods in Applied Mechanics and Engineering
Volumen	196
N.º	21-24
DOI	https://doi.org/10.1016/j.cma.2007.01.002
Estado	Publicada - 1 abr 2007
Publicado de forma externa	Sí

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title = "Time dependent subscales in the stabilized finite element approximation of incompressible flow problems",

abstract = "In this paper we analyze a stabilized finite element approximation for the incompressible Navier-Stokes equations based on the subgrid-scale concept. The essential point is that we explore the properties of the discrete formulation that results allowing the subgrid-scales to depend on time. This apparently {"}natural{"} idea avoids several inconsistencies of previous formulations and also opens the door to generalizations.",

keywords = "Incompressible flows, Stabilized finite elements, Transient subscales",

author = "Ramon Codina and Javier Principe and Oriol Guasch and Santiago Badia",

note = "Funding Information: J. Principe and S. Badia would like to acknowledge the support received from the Departament d{\textquoteright}Universitats, Recerca i Societat de la Informaci{\'o} of the Generalitat de Catalunya (Catalan Government) and the European Social Fund through a doctoral grant.",

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TY - JOUR

T1 - Time dependent subscales in the stabilized finite element approximation of incompressible flow problems

AU - Codina, Ramon

AU - Principe, Javier

AU - Guasch, Oriol

AU - Badia, Santiago

N1 - Funding Information: J. Principe and S. Badia would like to acknowledge the support received from the Departament d’Universitats, Recerca i Societat de la Informació of the Generalitat de Catalunya (Catalan Government) and the European Social Fund through a doctoral grant.

PY - 2007/4/1

Y1 - 2007/4/1

N2 - In this paper we analyze a stabilized finite element approximation for the incompressible Navier-Stokes equations based on the subgrid-scale concept. The essential point is that we explore the properties of the discrete formulation that results allowing the subgrid-scales to depend on time. This apparently "natural" idea avoids several inconsistencies of previous formulations and also opens the door to generalizations.

AB - In this paper we analyze a stabilized finite element approximation for the incompressible Navier-Stokes equations based on the subgrid-scale concept. The essential point is that we explore the properties of the discrete formulation that results allowing the subgrid-scales to depend on time. This apparently "natural" idea avoids several inconsistencies of previous formulations and also opens the door to generalizations.

KW - Incompressible flows

KW - Stabilized finite elements

KW - Transient subscales

UR - https://www.scopus.com/pages/publications/34047137275

U2 - 10.1016/j.cma.2007.01.002

DO - 10.1016/j.cma.2007.01.002

M3 - Article

AN - SCOPUS:34047137275

SN - 0045-7825

VL - 196

SP - 2413

EP - 2430

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 21-24

ER -

Time dependent subscales in the stabilized finite element approximation of incompressible flow problems

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