Model reduction by constraints, discretization of flow problems and an induced pressure stabilization | Zendy

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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.

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