NDLI: The local discontinuous Galerkin method for contaminant transport

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The local discontinuous Galerkin method for contaminant transport

Content Provider	Semantic Scholar
Author	Aizinger, Vadym Dawson, Clint Cockburn, Bernardo Castillo, Paul
Copyright Year	2000
Abstract	We develop a discontinuous ®nite element method for advection±diusion equations arising in contaminant transport problems, based on the Local Discontinuous Galerkin (LDG) method of Cockburn B and Shu CW. (The local discontinuous Garlerkin method for time-dependent convection±diusion systems. SIAM J Numer Anal 1998;35:2440±63). This method is de®ned locally over each element, thus allowing for the use of dierent approximating polynomials in dierent elements. Furthermore, the elements do not have to conform, or ``match-up'' at interfaces. The method has a built-in upwinding mechanism for added stability. Moreover, it is conservative. We describe the method for multi-dimensional systems of equations with possibly non-linear adsorption terms, and provide some numerical results in both one and two dimensions. These results examine the accuracy of the method, and its ability to approximate solutions to some linear and non-linear problems arising in contaminant transport. Ó 2000 Elsevier Science Ltd. All rights reserved.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://directory.umm.ac.id/Data%20Elmu/jurnal/A/Advances%20In%20Water%20Resources/Vol24.Issue1.2000/3381.pdf
Language	English
Access Restriction	Open
Subject Keyword	Approximation algorithm Canonical account Comstock–Needham system Contaminant Dimensions Discontinuous Galerkin method Local Area Networks Nonlinear system Numerical analysis Numerous Polynomial Solutions Upwind scheme
Content Type	Text
Resource Type	Article

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