An analytical and numerical solution of Saint-Venant-Equations.

C. Schmitz, J. Edenhofer, H. J. Czirwitzky

Research output: Contribution to journalArticlepeer-review

Abstract

An implicit method of characteristics (IMOC) is derived. IMOC was proven to be unconditionally stable even for the case of a non-linearized hyperbolic system with general boundary conditions. It is shown, that the application of the presented method to Saint-Venant equations allows the explicit determination of the slope of the characteristics without iteration. For the case of a special lateral in-(out-)-flow an analytical solution for the Saint-Venant equations is generated and compared with the numerical solution adopting IMOC. The Couran number used in the numerical example was greater than seven. (A)

Original languageEnglish
Journal[No source information available]
Issue number(Paris, France: Sep. 7-10, 1982)
StatePublished - 1982

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