Review of literature on the finite-element solution of the equations of two-dimensional surface-water flow in the horizontal plane
Circular
1009
By: Jonathan K. Lee and David C. Froehlich
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Abstract
Published literature on the application of the finite-element method to solving the equations of two-dimensional surface-water flow in the horizontal plane is reviewed in this report. The finite-element method is ideally suited to modeling two-dimensional flow over complex topography with spatially variable resistance. A two-dimensional finite-element surface-water flow model with depth and vertically averaged velocity components as dependent variables allows the user great flexibility in defining geometric features such as the boundaries of a water body, channels, islands, dikes, and embankments.
The following topics are reviewed in this report: alternative formulations of the equations of two-dimensional surface-water flow in the horizontal plane; basic concepts of the finite-element method; discretization of the flow domain and representation of the dependent flow variables; treatment of boundary conditions; discretization of the time domain; methods for modeling bottom, surface, and lateral stresses; approaches to solving systems of nonlinear equations; techniques for solving systems of linear equations; finite-element alternatives to Galerkin's method of weighted residuals; techniques of model validation; and preparation of model input data. References are listed in the final chapter.
Suggested Citation
Lee, J.K., Froehlich, D.C., 1987, Review of literature on the finite-element solution of the equations of two-dimensional surface-water flow in the horizontal plane: U.S. Geological Survey Circular 1009, vi, 61 p. :ill. ;28 cm., https://doi.org/10.3133/cir1009.
ISSN: 2330-5703 (online)
| Publication type | Report |
|---|---|
| Publication Subtype | USGS Numbered Series |
| Title | Review of literature on the finite-element solution of the equations of two-dimensional surface-water flow in the horizontal plane |
| Series title | Circular |
| Series number | 1009 |
| DOI | 10.3133/cir1009 |
| Year Published | 1987 |
| Language | ENGLISH |
| Publisher | U.S. G.P.O., |
| Description | vi, 61 p. :ill. ;28 cm. |