Please use this identifier to cite or link to this item: http://hdl.handle.net/11422/8548
Type: Artigo
Title: A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems
Author(s)/Inventor(s): Cruz, Antonio Guilherme Barbosa da
Carmo, Eduardo Gomes Dutra do
Duda, Fernando Pereira
Abstract: Indisponível.
Abstract: This paper presents a new consistent and stabilized finite-element formulation for fourth-order incompressible flow problems. The formulation is based on the C0-interior penalty method, the Galerkin least-square (GLS) scheme, which assures that the formulation is weakly coercive for spaces that fail to satisfy the inf-sup condition, and considers discontinuous pressure interpolations. A stability analysis through a lemma establishes that the proposed formulation satisfies the inf-sup condition, thus confirming the robustness of the method. This lemma indicates that, at the element level, there exists an optimal or quasi-optimal GLS stability parameter that depends on the polynomial degree used to interpolate the velocity and pressure fields, the geometry of the finite element, and the fluid viscosity term. Numerical experiments are carried out to illustrate the ability of the formulation to deal with arbitrary interpolations for velocity and pressure, and to stabilize large pressure gradients.
Keywords: Discontinuous Galerkin methods
Fourth-order problems
GLS stability
Second gradient
Subject CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Production unit: Núcleo Interdisciplinar de Dinâmica dos Fluidos
Publisher: Elsevier
In: Journal of Computational Physics
Volume: 231
Issue: 16
Issue Date: 15-May-2012
DOI: 10.1016/j.jcp.2012.05.002
Publisher country: Brasil
Language: eng
Right access: Acesso Aberto
ISSN: 0021-9991
Appears in Collections:Engenharias

Files in This Item:
File Description SizeFormat 
2012_CRUZ_v231_p5469-5488-min.pdf587,42 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.