Por favor, use este identificador para citar o enlazar este ítem:
http://hdl.handle.net/11422/8588
Especie: | Artigo |
Título : | A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems |
Autor(es)/Inventor(es): | Cruz, Antonio Guilherme Barbosa da Carmo, Eduardo Gomes Dutra do Duda, Fernando Pereira |
Resumen: | Indisponível. |
Resumen: | 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. |
Materia: | Discontinuous Galerkin methods Fourth-order problems GLS stability Second gradient |
Materia CNPq: | CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS |
Unidade de producción: | Núcleo Interdisciplinar de Dinâmica dos Fluidos |
Editor: | Elsevier |
Es parte de: | Journal of Computational Physics |
Volumen: | 231 |
Número: | 16 |
Fecha de publicación: | 15-may-2012 |
DOI: | 10.1016/j.jcp.2012.05.002 |
País de edición : | Brasil |
Idioma de publicación: | eng |
Tipo de acceso : | Acesso Aberto |
ISSN: | 0021-9991 |
Aparece en las colecciones: | Engenharias |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
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2012_DUDA_JCP_v231_p5469-5488-min.pdf | 587.42 kB | Adobe PDF | Visualizar/Abrir |
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