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System reduction strategy for Galerkin models of fluid flows
Author(s) -
Noack Bernd R.,
Schlegel Michael,
Morzyński Marek,
Tadmor Gilead
Publication year - 2009
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.2049
Subject(s) - galerkin method , mathematics , computational fluid dynamics , wake , reduction (mathematics) , turbulence modeling , reynolds number , large eddy simulation , navier–stokes equations , reynolds stress , statistical physics , compressibility , mechanics , mathematical analysis , turbulence , physics , geometry , finite element method , thermodynamics
We propose a system reduction strategy for spectral and Galerkin models of incompressible fluid flows. This approach leads to dynamic models of lower order, based on a partition in slow, dominant and fast modes. In the reduced models, slow dynamics are incorporated as non‐linear manifold consistent with mean‐field theory. Fast dynamics are stochastically treated and can be lumped in eddy‐viscosity approaches. The employed interaction models between slow, dominant and fast dynamics respect momentum and energy balance equations in a mathematically rigorous manner—unlike unsteady Reynolds‐averaged Navier–Stokes models or Smagorinsky‐type reductions of the Navier–Stokes equation. The proposed system reduction strategy is employed to the cylinder wake benchmark. Copyright © 2009 John Wiley & Sons, Ltd.