| 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. |
| Genre: | USGS Numbered Series |
| ProdID: | 3732 |
| Citation Author: | Lee, Jonathan K.; Froehlich, David C. |
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| Citation Language: | ENGLISH |
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| Citation Phsyical Description: | vi, 61 p. :ill. ;28 cm. |
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| Citation Publisher: | U.S. G.P.O., |
| Citation Series: | Circular |
| Citation Series Code: | CIR |
| Citation Series Number: | 1009 |
| Citation Search Results Text: | Review of literature on the finite-element solution of the equations of two-dimensional surface-water flow in the horizontal plane; 1987; CIR; 1009; Lee, Jonathan K.; Froehlich, David C. |
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| Citation Year: | 1987 |
| Type: | citation/reference |
| Text: | Review of literature on the finite-element solution of the equations of two-dimensional surface-water flow in the horizontal plane; 1987; CIR; 1009; Lee, Jonathan K.; Froehlich, David C. |
| URL (THUMBNAIL): | http://pubs.usgs.gov/circ/1987/1009/report-thumb.jpg |
| URL (DOCUMENT): | http://pubs.usgs.gov/circ/1987/1009/report.pdf |
| Date Other: | Sat, 1 Jan 1994 00:00 -0600 |
| Publisher: | U.S. G.P.O., |
