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An algorithm for the global volume conservation constraint in lake circulation
Author(s) -
Dhatt Gouri,
Leclerc Michel
Publication year - 1987
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.1650070904
Subject(s) - constraint (computer aided design) , convergence (economics) , circulation (fluid dynamics) , mathematical optimization , algorithm , volume (thermodynamics) , finite volume method , mathematics , conservation law , computer science , engineering , geometry , mathematical analysis , mechanics , aerospace engineering , physics , quantum mechanics , economic growth , economics
Abstract We present an algorithm for introducing a global constraint of volume conservation in lake circulation problems. The algorithm is described for linear problems, and is then generalized to non‐linear cases. Numerical examples are presented to show the influence of water‐level conditions on convergence and to demonstrate the practical superiority of the global constraint algorithm for obtaining reliable convergent solutions.