Artículo
An improved assembling algorithm in boundary elements with galerkin weighting applied to three-dimensional stokes flows
Sarraf, Sofia Soledad
; Lopez, Ezequiel Jose
; Battaglia, Laura
; Rios Rodriguez, Gustavo Adolfo
; D'elia, Jorge
Fecha de publicación:
01/2018
Editorial:
American Society of Mechanical Engineers
Revista:
Journal Of Fluids Engineering-transactions Of The Asme
ISSN:
0098-2202
e-ISSN:
1528-901X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In the boundary element method (BEM), the Galerkin weighting technique allows to obtain numerical solutions of a boundary integral equation (BIE), giving the Galerkin boundary element method (GBEM). In three-dimensional (3D) spatial domains, the nested double surface integration of GBEM leads to a significantly larger computational time for assembling the linear system than with the standard collocation method. In practice, the computational time is roughly an order of magnitude larger, thus limiting the use of GBEM in 3D engineering problems. The standard approach for reducing the computational time of the linear system assembling is to skip integrations whenever possible. In this work, a modified assembling algorithm for the element matrices in GBEM is proposed for solving integral kernels that depend on the exterior unit normal. This algorithm is based on kernels symmetries at the element level and not on the flow nor in the mesh. It is applied to a BIE that models external creeping flows around 3D closed bodies using second-order kernels, and it is implemented using OpenMP. For these BIEs, the modified algorithm is on average 32% faster than the original one.
Palabras clave:
Complex Flows
,
Computational Fluid Dynamics
,
Microfluidics
,
Newtonian Flows
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Identificadores
Colecciones
Articulos(CIMEC)
Articulos de CENTRO DE INVESTIGACION DE METODOS COMPUTACIONALES
Articulos de CENTRO DE INVESTIGACION DE METODOS COMPUTACIONALES
Citación
Sarraf, Sofia Soledad; Lopez, Ezequiel Jose; Battaglia, Laura; Rios Rodriguez, Gustavo Adolfo; D'elia, Jorge; An improved assembling algorithm in boundary elements with galerkin weighting applied to three-dimensional stokes flows; American Society of Mechanical Engineers; Journal Of Fluids Engineering-transactions Of The Asme; 140; 1; 1-2018; 011401
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