DARRYL HOLM
Theoretical Division and CNLS
Los Alamos National Laboratory, MS B284
Los Alamos, NM 87545, USA
http://cnls.lanl.gov/~dholm/
dholm@lanl.gov
Abstract:
The Navier-Stokes-alpha equations model the effects
of subgrid scale fluctuations in fluid turbulence
as nonlinear dispersion. (This nonlinear dispersion
smooths the transport velocity of the fluid loop in
Kelvin's circulation theorem for the alpha model,
relative to the circulation velocity in its
integrand.) Holm will review the theoretical and
physical framework for deriving these equations,
the comparison of their steady solutions to
experimental mean velocity profiles for turbulence
in channels and pipes at high Reynolds numbers, and
the analytic and computational studies that
illustrate their effectiveness as a fluid turbulence
model with a reduced number of degrees of freedom.