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Normal flow boundary conditions in 3D circulation models
Author(s) -
Lynch Daniel R.,
Holboke Monica J.
Publication year - 1997
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/(sici)1097-0363(19971130)25:10<1185::aid-fld615>3.0.co;2-v
Subject(s) - conservation of mass , finite element method , context (archaeology) , boundary value problem , constraint (computer aided design) , circulation (fluid dynamics) , flow (mathematics) , mathematics , mathematical analysis , mechanics , geology , geometry , physics , engineering , structural engineering , paleontology
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.