Normal flow boundary conditions in 3D circulation models

The problem of enforcing normal transport conditions on 3D velocity fields is considered in the context of ‘wave equation’ finite element models. A procedure for strong enforcement of the transport constraint is given. The procedure is identical for Neumann (transport known) and Dirichlet (pressure...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 1997-11, Vol.25 (10), p.1185-1205
Main Authors: Lynch, Daniel R., Holboke, Monica J.
Format: Article
Language:English
Subjects:
Brackish
Coastal oceanography, estuaries. Regional oceanography
Earth, ocean, space
Exact sciences and technology
External geophysics
Freshwater
Marine
Physics of the oceans
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Summary:The problem of enforcing normal transport conditions on 3D velocity fields is considered in the context of ‘wave equation’ finite element models. A procedure for strong enforcement of the transport constraint is given. The procedure is identical for Neumann (transport known) and Dirichlet (pressure known) problems, which are treated reversibly. All local mass and force balance relations are retained in the FEM system. A global mass conservation property is proven for the general 3D, discrete‐time case. Examples demonstrate the quality of the solutions and the practicality of the approach. © 1997 John Wiley & Sons, Ltd.
ISSN:0271-2091
1097-0363
DOI:10.1002/(SICI)1097-0363(19971130)25:10<1185::AID-FLD615>3.0.CO;2-V