Name
Abstract | ||
|---|---|---|
Groundwater flow in unsaturated soil is governed by Richards equation, a nonlinear convection-diffusion equation. The process is normally convection-dominated, and steep fronts are common in solution profiles. The problem is further complicated if the medium is heterogeneous, for example when there are two or more different soil layers. In this paper, the least squares finite element method is used to solve for flow through 5 layers with differing hydraulic properties. Solution-dependent coefficients are constructed from smooth fits of experimental data. The least squares finite element approach is developed, along with the method for building an optimized, nonuniform grid. Numerical results are presented for the 1D problem. Generalization to higher dimensions is also discussed. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1007/978-3-540-31852-1_26 | NAA |
Keywords | DocType | Volume |
unsaturated soil,layered soil,solution-dependent coefficient,different soil layer,squares finite element method,squares finite element solution,squares finite element approach,nonlinear convection-diffusion equation,richards equation,groundwater flow,experimental data,higher dimension,finite element,least square,convection diffusion equation,finite element method | Conference | 3401 |
ISSN | ISBN | Citations |
0302-9743 | 3-540-24937-0 | 0 |
PageRank | References | Authors |
0.34 | 1 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tsu-Fen Chen | 1 | 9 | 2.36 |
| Christopher Cox | 2 | 5 | 6.92 |
| Hasan Merdun | 3 | 5 | 1.27 |
| Virgil Quisenberry | 4 | 0 | 0.34 |