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Guglielmo Scovazzi

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Variational multi-scale modeling of turbulent flows Previous topic

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.

References:
[1]
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 FluidsA. Ibrahimbegovic, F. Dias, H. Matthies, P.Wriggers (eds.), Cachan, France, November 28-30, 2007. PDF-file




















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