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Multi-scale finite element modelling using bubble function method for a convection-diffusion problem

delete2006-04-01
delete10
PRE
AI
M
Mahmoud Parvazinia
N
Nassehi, V
R
R.J. Wakeman
DOI：10.1016/j.ces.2005.11.031delete
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Abstract

Abstract

En 中文
Due to the multi-scale nature of the convection-diffusion equation the standard Galerkin method fails to predict accurate and stable results. A multi-scale finite element method based on the bubble function approach has been developed and applied to this problem. Finite element formulations based on the discontinuous weighting functions including the streamline upwind Petrov-Galerkin (SUPG) method are also evaluated. The results show that the multi-scale method provides stable and accurate results and matches very well the analytical solution. (c) 2005 Elsevier Ltd. All rights reserved.
Keywords:
Petrov-Galerkin method
convection-diffusion equation
bubble function
multi-scale method
finite element
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Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

Chemical Engineering Science cover
Chemical Engineering Science
IF:
4.3
Papers:
2.2W
Citations:
5.5W

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No organization information available