Improved Finite-Element Method for Solute Transport
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.
Department
Biological and Agricultural Engineering (College of Agriculture and Life Sciences)Collections
Citation
Singh, Vijay P.; Yu, Fang Xin (1995). Improved Finite-Element Method for Solute Transport. Available electronically from https : / /hdl .handle .net /1969 .1 /164667.