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Model reduction by constraints, discretization of flow problems and an induced pressure stabilization
Author(s) -
Layton W.
Publication year - 2005
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.440
Subject(s) - constraint (computer aided design) , discretization , reduction (mathematics) , lagrange multiplier , mathematics , flow (mathematics) , turbulence , viscosity , turbulence modeling , development (topology) , mathematical optimization , mathematical analysis , mechanics , thermodynamics , geometry , physics
For flow problems, turbulence models and numerical methods can be thought of as model reductions. Herein we consider reduction imposed as a constraint using Lagrange multipliers. Development of this last method recovers the subgrid eddy viscosity method and a new stabilization of the incompressibilty constraint. Analysis of the new incompressibility stabilization reveals that stabilization is only really needed for the finest pressure scales. Copyright © 2005 John Wiley & Sons, Ltd.