Title
An adaptive local grid refinement and peak/valley capture algorithm to solve nonlinear transport problems with moving sharp-fronts
Abbreviated Journal Title
Transp. Porous Media
Keywords
nonlinear advection-dispersion-reaction equations; Lagrangian-Eulerian; decoupling method with an adaptive ZOOMing and Peak/valley Capture; (LEZOOMPC); Burger equation; multiphase flow; peak/valley capturing; adaptive local grid refinement; LAGRANGIAN-EULERIAN METHOD; EFFICIENT IMPLEMENTATION; EQUATIONS; SCHEMES; Engineering, Chemical
Abstract
Highly nonlinear advection-dispersion-reaction equations govern numerous transport phenomena. 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 reactive chemical transport and multiphase flow. The algorithm was developed based on the Lagrangian-Eulerian decoupling method with an adaptive ZOOMing and Peak/valley Capture (LEZOOMPC) scheme. It consists of both backward and forward node tracking, rough element determination, peak/valley capturing, and adaptive local grid refinement. A second-order tracking was implemented to accurately and efficiently track all fictitious particles. Shanks' method was introduced to deal with slowly converging case. The accuracy and efficiency of the algorithm were verified with the Burger equation for a variety of cases. The robustness of the algorithm to achieve convergent solutions was demonstrated by highly nonlinear reactive contaminant transport and multiphase flow problems.
Journal Title
Transport in Porous Media
Volume
72
Issue/Number
1
Publication Date
1-1-2008
Document Type
Article
Language
English
First Page
53
Last Page
69
WOS Identifier
ISSN
0169-3913
Recommended Citation
"An adaptive local grid refinement and peak/valley capture algorithm to solve nonlinear transport problems with moving sharp-fronts" (2008). Faculty Bibliography 2000s. 1202.
https://stars.library.ucf.edu/facultybib2000/1202
Comments
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