Numerical computations of critical flow over a weir

✍ Scribed by M. J. O'Carroll; E. F. Toro

• Publisher: John Wiley and Sons
• Year: 1984
• Tongue: English
• Weight: 626 KB
• Volume: 4
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.1650040604

✦ Synopsis

Computing critical flows in hydraulics involves three problems in one: the internal flow problem, the location of the free suiface 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.