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

^*Corresponding author for this work

Research output: Indexed journal article › Article › peer-review

204 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2413-2430
Number of pages	18
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	196
Issue number	21-24
DOIs	https://doi.org/10.1016/j.cma.2007.01.002
Publication status	Published - 1 Apr 2007
Externally published	Yes

Keywords

Incompressible flows
Stabilized finite elements
Transient subscales

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10.1016/j.cma.2007.01.002

Cite this

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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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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

Abstract

Keywords

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