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Free-surface flow over curved surfaces: Part I: Perturbation analysis

โœ Scribed by R. C. Berger; G. F. Carey

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
114 KB
Volume
28
Category
Article
ISSN
0271-2091

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โœฆ Synopsis

The standard two-dimensional shallow water equation formulation assumes a mild bed slope and no curvature effect. These assumptions limit the applicability of these equations for some important classes of problems. In particular, flow over a spillway is affected by the bed curvature via a decidedly non-hydrostatic pressure distribution. A detailed derivation of a more general equation set is given here in Part I. The method relies upon a perturbation expansion to simplify a bed-fitted co-ordinate configuration of the three-dimensional Euler equations. The resulting equations are essentially the equivalent of the two-dimensional shallow water equations but with curvature included and without the mild slope assumption. A finite element analysis and flume result are given in Part II.

๐Ÿ“œ SIMILAR VOLUMES

Free-surface flow over curved surfaces:
Free-surface flow over curved surfaces: Part II: Computational model
โœ R. C. Berger; G. F. Carey ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 218 KB

In Part I a detailed derivation of a more general shallow water equation set was developed via a perturbation analysis. A finite element computational model of these more general equations is now constructed and the model behavior is compared with conventional shallow water formulations applied to a