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Free-surface flow over curved surfaces: Part I: Perturbation analysis (1998)

Berger, R. C. ; Carey, G. F.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 28 (1998), S. 191-200

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Details

ISSN: 0271-2091

Schlagwort(e): curved surface ; shallow water ; non-hydrostatic ; spillway ; finite element ; Engineering ; Numerical Methods and Modeling

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: 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. © 1998 John Wiley & Sons, Ltd.

Zusätzliches Material: 2 Ill.

Materialart: Digitale Medien

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