Adaptive local grid refinement to solve nonlinear transport problems with moving fronts

G. T. Yeh, H. P. Cheng, J. R. Cheng, T. E. Short, C. Enfield

研究成果: 會議貢獻類型會議論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

Highly nonlinear advection-dispersion-reactive equations govern numerous transport phenomena in subsurface media. Robust, accurate, and efficient algorithms to solve these equations hold the key to the success of applying numerical models to field problems. This paper presents the development and verification of a computational algorithm to approximate the highly nonlinear transport equations of multiphase flow and reactive chemical transport. The algorithm was developed based on the Lagrangian-Eulerian decoupling method with an adaptive ZOOMing and Peak/valley Capture (LEZOOMPC) scheme. It consisted of both backward and forward node tracking, rough element determination, peak/valley capturing, and adaptive local grid refinement. A second-order implicit tracking was implemented to accurately and efficiently track all fictitious particles. The unique feature of the algorithm is the adaptive mechanism. Unlike other adaptive local grid refinement methods, the adaptive mechanism of LEZOOMPC was based on the almost 'true' error estimates. The accuracy and efficiency of the algorithm were verified with the Burger's equation for a variety of cases. The robustness of the algorithm to achieve convergent solutions was demonstrated for highly nonlinear multiphase flow and reactive contaminant transport problems.

原文???core.languages.en_GB???
頁面577-584
頁數8
出版狀態已出版 - 1996
事件Proceedings of the 1996 11th International Conference on Computational Methods in Water Resources, CMWR'96. Part 1 (of 2) - Cancun, Mex
持續時間: 1 7月 19961 7月 1996

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???event.eventtypes.event.conference???Proceedings of the 1996 11th International Conference on Computational Methods in Water Resources, CMWR'96. Part 1 (of 2)
城市Cancun, Mex
期間1/07/961/07/96

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