The local discontinuous Galerkin method for contaminant transport
نویسندگان
چکیده
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.
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