A Petrov-Galerkin finite element scheme for one-dimensional water flow and solute transport processes in the unsaturated zone
With respect to the simultaneous transport of water and solutes under transient unsaturated conditions, a clear understanding of chemical transport in the unsaturated zone, including proper quantification of the relevant transport processes, is important. A space-time Petrov-Galerkin formulation has been developed for the transient nonlinear convection diffusion equations where a 'modified' weighting function, derived from the least-squares finite element concept, is applied only to the transient and the convective terms of the general equation. The implicit finite element scheme obtained is unconditionally stable for all Courant and Peclet numbers. The evaluation of this finite element method was based on two test problems where numerical solutions were compared with numerical results published in literature.
Bibliographic Reference: Paper presented: XI Industrial Conference on Computational Methods in Water Resources, Cancun (MX), July 22-26, 1996
Availability: Available from (1) as Paper EN 39830 ORA
Record Number: 199610734 / Last updated on: 1996-08-06
Original language: en
Available languages: en