Compatible algorithms for coupled flow and transport

Compatible algorithms for coupled flow and transport
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DOI:
10.1016/j.cma.2003.12.059
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发表时间:
2004-01-01
影响因子:
7.2
通讯作者:
Wheeler, MF
Wheeler, MF
中科院分区:
工程技术1区
文献类型:
--
作者:
Dawson, C;Sun, SY;Wheeler, MF

文献摘要

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在过去的几年里,在文献中一直在讨论质量守恒的问题。在本文中,我们解决的损失的准确性和/或损失的全球保护的调用时发生的流量和运输计划是不兼容的。我们给出了相容流和输运格式的定义,重点介绍了两种流行的输运算法,流线扩散方法和间断Galerkin方法。然后,我们讨论了几种不同的方法与这些运输算法兼容的流量。最后,我们给出了一些数值例子,证明了方案之间的不相容性的可能影响。(C)2004 Elsevier B. V.保留所有权利。
The issue of mass conservation in numerical methods for flow coupled to transport has been debated in the literature for the past several years. In this paper, we address the loss of accuracy and/or loss of global conservation which call occur when flow and transport schemes are not compatible. We give a definition of compatible flow and transport schemes, with emphasis on two popular types of transport algorithms, the streamline diffusion method and discontinuous Galerkin methods. We then discuss several different approaches for flow which are compatible with these transport algorithms. Finally, we give some numerical examples which demonstrate the possible effects of incompatibility between schemes. (C) 2004 Elsevier B.V. All rights reserved.