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| Variational
multi-scale modeling of turbulent flows |
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Vorticity isocontours in an infinite
Reynolds number isotropic
turbulence computation. Fluid markers are depicted by the white surface
contours.
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In recent
years, the variational
multiscale paradigm has been successfully applied
to large eddy simulation (LES) of turbulent flows. In [1-3],
the
multiscale methodology is adopted
to approximate the Green's operators and derive a residual-based
turbulence model [1,3].
This appraoch derives completely from the incompressible Navier-Stokes
equations and does not employ any ad
hoc eddy
viscosities. This turbulence modeling strategy was tested on
forced homogeneous isotropic turbulence and turbulent channel flows [3,4]. In the calculations, linear,
quadratic and cubic
NURBS
were emplyed. A dispersion analysis of simple model problems revealed
NURBS elements to be superior to classical finite elements in
approximating advective and diffusive processes, which play a
significant role in turbulence computations.
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References:
[1]
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Guglielmo
Scovazzi, Ph.D. thesis, part III, "Multiscale Methods in Science and
Engineering", Mechanical Engineering Department, Stanford University,
August 2004. PDF
file |
[2]
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Thomas
J. R.
Hughes, Victor M. Calo, Guglielmo Scovazzi, "Variational and Multiscale
Methods in
Turbulence", in Proceedings of the
XXI
International
Congress of Theoretical and Applied Mechanics (IUTAM), eds. W.
Gutkowski
and T. A. Kowalewski, Kluwer, 2004.
(ICES report 2004-46). |
[3]
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Yury
Bazilevs, Victor M. Calo, J. Austin Cottrell, Thomas
J. R.
Hughes, Alessandro Reali, Guglielmo Scovazzi, "Variational Multiscale
Methods in
Turbulence", SAND-2007-2848J, Computer
Methods in Applied Mechanics and Engineering, 197(1-4),
Dec. 2007, pp.
173-201. |
[4]
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Yury
Bazilevs, Victor M. Calo, J. Austin Cottrell, Thomas
J. R.
Hughes, Alessandro Reali, Guglielmo Scovazzi, "Variational Multiscale
Residual-driven Turbulence Modeling for Large Edddy Simulation of
Incompressible Flow", 2007.
In Proceedings of ECCOMAS Thematic Conference
in Multi-scale Methods for Solids and Fluids, A.
Ibrahimbegovic, F. Dias, H. Matthies, P.Wriggers (eds.), Cachan,
France, November 28-30, 2007. PDF-file |
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Guglielmo at CSRI.
Contact
E-mail: gscovaz@sandia.gov
(505) 844-0707 (Phone)
Mailing address (USPS)
Sandia National Laboratories
P.O. Box 5800, MS 1319
Albuquerque, NM 87185-1319
FedEx/UPS/DHL
Sandia National Laboratories
1515 Eubank SE,
CSRI Building, Room 311
Albuquerque, NM 87123-1319
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