ISSN:
0271-2091
Keywords:
Advection
;
Diffusion
;
Finite element
;
Two-dimensional
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
A new finite element method, the Taylor-least-squares, is proposed to approximate the advection-dominated unsteady advection-diffusion equation. The new scheme is a direct generalization of the Taylor-Galerkin and least-squares finite element methods. Higher-order spatial derivatives in the new formulation necessitate higher-degree polynomials. Hermite cubic shape functions are used. Extensive comparisons with other methods in one dimension proved that the new scheme is a step forward in modelling this difficult problem. The method offers straightforward generalizations to higher dimensions without losing the accuracy demonstrated in one dimension, i.e. the method preserves the important property of the Taylor-Galerkin scheme of being free of numerical crosswind diffusion. Several numerical experiments were made in two dimensions and excellent results were obtained from the representative experiments.
Additional Material:
8 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/fld.1650110103
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