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Numerical computations of critical flow over a weir
Author(s) -
O'Carroll M. J.,
Toro E. F.
Publication year - 1984
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650040604
Subject(s) - discretization , weir , flow (mathematics) , hydraulics , computation , uniqueness , mathematics , numerical analysis , internal flow , finite element method , two dimensional flow , mechanics , calculus (dental) , geometry , mathematical analysis , algorithm , physics , thermodynamics , medicine , cartography , dentistry , geography
Computing critical flows in hydraulics involves three problems in one: the internal flow problem, the location of the free surface and the determination of the critical flow rate. The subject can involve such difficulties as non‐uniqueness, non‐existence, ill‐conditioning and catastrophes. This paper discusses the difficulties relating to computing critical flows over weirs. A new rapidly convergent method of determining the critical flow rate is presented and various results are shown using it with finite element discretization and with a new streamline shifting method. Numerical results are in good agreement with published data, both numerical and experimental.