Improved Finite-Element Method for Solute Transport
dc.creator | Singh, Vijay P. | |
dc.creator | Yu, Fang Xin | |
dc.date.accessioned | 2017-10-19T14:21:43Z | |
dc.date.available | 2017-10-19T14:21:43Z | |
dc.date.issued | 1995-02 | |
dc.identifier.issn | 0733-9429 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/164667 | |
dc.description.abstract | Five major modifications to the Galerkin finite-element formulation for solute transport were made in this study: (1) A mixed formulation for the time-derivative term of the governing equation was developed by combining the Galerkin method and the collocation method; (2) a general and useful formulation for the advection and dispersion terms was derived by applying Green's theorem so that any given advection-dominated boundary conditions can be correctly handled; (3) simpler expressions for leaky boundary conditions and surface flux conditions were developed using the unit step function; (4) nonambiguous expressions of the source and sink terms were derived using the Dirac delta function; and (5) a finite-integration solution scheme was developed to solve the system of ordinary differential equations, and a discussion critical to the use of the finite-difference solution scheme was presented. The effects of these five modifications on numerical solution were investigated. | en |
dc.language.iso | en_US | |
dc.title | Improved Finite-Element Method for Solute Transport | en |
dc.type | Article | en |
local.department | Biological and Agricultural Engineering (College of Agriculture and Life Sciences) | en |