Incorporating the multigrid method with the adaptive local grid refinement to solve 3-D subsurface density-dependent flow and transport equations

M. H. Li, H. P. Cheng, G. T. Yeh

研究成果: 會議貢獻類型會議論文同行評審

摘要

This paper presents an approach combining the multigrid method and the adaptive local grid refinement to solve 3-D density-dependent flow and transport equations in the subsurface. This combination is to provide a collaborated numerical strategy which is computationally efficient and accurate. With the multigrid method, the computational efficiency is achieved through its O(n) computations in solving a matrix equation with n unknowns. With the adaptive local grid refinement, the computational accuracy is improved without introducing unaffordable efforts by only refining the non-smooth region. In addition, the computational efficiency is accomplished without wasting computing time on the smooth region. To determine the rough region for mesh refinement, we examine the mesh Peclet number during each nonlinear iteration in the flow module, and check the smoothness of the Lagrangian concentrations over elements in the Lagrangian step of the transport module. With the rough elements detected in each module, a modular setting of grid generation is employed to perform the local zooming grid and prepare the information for the multigrid application. We have used this approach to adapt the 3DSALT model to its adaptive multigrid version, 3DMGZMFT. One example is given to demonstrate the success of this approach.

原文???core.languages.en_GB???
頁面649-656
頁數8
出版狀態已出版 - 1998
事件Proceedings of the 1998 12th International Conference on Computational Methods in Water Resources, CMWR XII'98. Part 1 (of 2) - Crete, Greece
持續時間: 1 6月 19981 6月 1998

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???event.eventtypes.event.conference???Proceedings of the 1998 12th International Conference on Computational Methods in Water Resources, CMWR XII'98. Part 1 (of 2)
城市Crete, Greece
期間1/06/981/06/98

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