Finite element method applied to analysis of flow over a spillway crest
- 1 January 1973
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 6 (2) , 179-189
- https://doi.org/10.1002/nme.1620060204
Abstract
Numerical analysis of fluid flow over a spillway is treated in the present paper. A variational principle is introduced for a flow with a free surface boundary under gravity, where the stream function and the profile of the free boundary are independent quantities subjected to variation. A new iteration method is formulated by the combined use of the variational principle and the finite element method. A numerical example based on the iterative method is illustrated. Results thus obtained show good agreement with those obtained from an empirical formula.Keywords
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