Flow model for open-channel reach or network
Professional Paper
1384
By: R.W. Schaffranek
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Abstract
Formulation of a one-dimensional model for simulating unsteady flow in a single open-channel reach or in a network of interconnected channels is presented. The model is both general and flexible in that it can be used to simulate a wide range of flow conditions for various channel configurations. It is based on a four-point (box), implicit, finite-difference approximation of the governing nonlinear flow equations with user-definable weighting coefficients to permit varying the solution scheme from box-centered to fully forward. Unique transformation equations are formulated that permit correlation of the unknowns at the extremities of the channels, thereby reducing coefficient matrix and execution time requirements. Discharges and water-surface elevations computed at intermediate locations within a channel are determined following solution of the transformation equations. The matrix of transformation and boundary-condition equations is solved by Gauss elimination using maximum pivot strategy. Two diverse applications of the model are presented to illustrate its broad utility. (USGS)
| Publication type | Report |
|---|---|
| Publication Subtype | USGS Numbered Series |
| Title | Flow model for open-channel reach or network |
| Series title | Professional Paper |
| Series number | 1384 |
| DOI | 10.3133/pp1384 |
| Edition | - |
| Year Published | 1987 |
| Language | ENGLISH |
| Description | 11 p. |
| Google Analytic Metrics | Metrics page |