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| Variational
multi-scale
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Vorticity
isocontours
in
an infinite
Reynolds number isotropic
turbulence computation. Fluid
markers are depicted by the
white surface
contours.
|
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]
|
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]
|
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]
|
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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Top of page
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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 140
Albuquerque, NM 87123-1319
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