HR: 0830h
AN: NG51A-0831    [PDF]
TI: Synthetic Turbulence, Fractal Interpolation and Large-Eddy Simulation
AU: * Basu, S
EM: basus@msi.umn.edu
AF: St. Anthony Falls Laboratory, University of Minnesota, Mississippi River at 3rd Ave SE, Minneapolis, MN 55414 United States
AU: Venugopal, V
EM: venu@macedonia.safl.umn.edu
AF: St. Anthony Falls Laboratory, University of Minnesota, Mississippi River at 3rd Ave SE, Minneapolis, MN 55414 United States
AU: Foufoula-Georgiou, E
EM: efi@umn.edu
AF: St. Anthony Falls Laboratory, University of Minnesota, Mississippi River at 3rd Ave SE, Minneapolis, MN 55414 United States
AU: Port\'{e}-Agel, F
EM: fporte@umn.edu
AF: St. Anthony Falls Laboratory, University of Minnesota, Mississippi River at 3rd Ave SE, Minneapolis, MN 55414 United States
AU: Dodov, B
EM: dodo0001@umn.edu
AF: St. Anthony Falls Laboratory, University of Minnesota, Mississippi River at 3rd Ave SE, Minneapolis, MN 55414 United States
AB: Direct Numerical Simulation (DNS) of the Navier-Stokes equation at high Reynolds number is virtually impossible with today's computational capabilities. As a consequence, our only resorts of gaining insight into the small-scale statistical and dynamical properties in three-dimensional fully developed turbulence are: extensive experimentation and turbulence emulation by relatively simple mathematical constructs. The latter approach, also known as the synthetic turbulence generation, has received considerable attention in recent years. This work extends previous efforts of synthetic turbulence generation based on the concept of fractal interpolation. Specifically, it proposes a method that, in addition to capturing the fractal dimension of the turbulent velocity field, also preserves other essential small-scale properties of turbulence, such as multiaffinity and non-Gaussian characteristics of the probability density functions of velocity increments. We also show the applicability of this method in emulating passive-scalar fields. Simplicity and low computational complexity makes this approach an attractive candidate for subgrid scale modeling of Large-Eddy Simulation (LES).
DE: 3250 Fractals and multifractals
DE: 3367 Theoretical modeling
DE: 3379 Turbulence
SC: Nonlinear Geophysics [NG]
MN: 2003 Fall Meeting