Item talk:Q93034
From geokb
{
"USGS Publications Warehouse": { "schema": { "@context": "https://schema.org", "@type": "CreativeWork", "additionalType": "USGS Numbered Series", "name": "Review of literature on the finite-element solution of the equations of two-dimensional surface-water flow in the horizontal plane", "identifier": [ { "@type": "PropertyValue", "propertyID": "USGS Publications Warehouse IndexID", "value": "cir1009", "url": "https://pubs.usgs.gov/publication/cir1009" }, { "@type": "PropertyValue", "propertyID": "USGS Publications Warehouse Internal ID", "value": 3732 }, { "@type": "PropertyValue", "propertyID": "DOI", "value": "10.3133/cir1009", "url": "https://doi.org/10.3133/cir1009" } ], "inLanguage": "en", "isPartOf": [ { "@type": "CreativeWorkSeries", "name": "Circular" } ], "datePublished": "1987", "dateModified": "2012-02-02", "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. \r\n\r\nThe 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. 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