Flux difference splitting for 1D open channel flow equations
β Scribed by Francisco Alcrudo; Pilar Garcia-Navarro; Jose-Maria Saviron
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 533 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0271-2091
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β¦ Synopsis
Abstract
An upwind finite difference scheme based on flux difference splitting is presented for the solution of the equations governing unsteady open channel hydraulics. An approximate Jacobian needed for splitting the flux differences is defined that satisfies the conditions required to construct a firstβorder upwind conservative discretization of the equations. Added limited secondβorder corrections make the resulting scheme robust and accurate for the computation of all regimes of open channel flow. Some numerical results and comparisons with other classical schemes under exacting conditions are presented.
π SIMILAR VOLUMES
In modeling flow in open channels, the traditional finite difference/finite volume schemes become inefficient and warrant special numerical treatment in the presence of shocks and discontinuities. The numerical oscillations that arise by making use of a second-and higher-order schemes require some a