The local discontinuous Galerkin method for contaminant transport
The local discontinuous Galerkin method for contaminant transport
复制标题
污染物迁移的局部间断伽辽金方法
DOI：
10.1016/s0309-1708(00)00022-1
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发表时间：
2000
影响因子：
4.7
通讯作者：
P. Castillo
中科院分区：
文献类型：
--
作者：
V. Aizinger;C. Dawson;Bernardo Cockburn;P. Castillo
基于Cockburn B和Shu CW的局部间断Galerkin（LDG）方法，发展了求解污染物输运问题中对流扩散方程的间断有限元方法. (The非定常对流扩散方程的局部间断Garlerkin方法SIAM J Numer Anal 1998;35：2440-63）。该方法在每个元素上局部定义，从而允许在不同元素中使用不同的近似多项式。此外，元件不必在接口处一致或“匹配”。该方法有一个内置的上链机制，以增加稳定性。此外，它是保守的。我们描述了多维方程组的方法，可能是非线性吸附项，并提供了一些数值结果在一维和二维。这些结果检查的方法的准确性，以及它的能力，近似解决一些线性和非线性问题中产生的污染物传输。
We develop a discontinuous finite element method for advection–diffusion 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–diffusion systems. SIAM J Numer Anal 1998;35:2440–63). This method is defined locally over each element, thus allowing for the use of different approximating polynomials in different 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.