Mohseni Paper

Numerical simulations of decaying homogeneous turbulence
using Lagrangian-averaged Navier-Stokes equations



KAMRAN MOHSENI
Control and Dynamical Systems 107-81
Caltech
Pasadena, CA 91125-810O

http://green.caltech.edu/~mohseni/
mohseni@cds.caltech.edu



Abstract:  The Lagrangian-averaged Navier-Stokes equations (LANS) are numerically evaluated as a turbulence closure. They are derived from a novel Lagrangian averaging procedure on the space of all volume-preserving maps and can be viewed as a numerical algorithm which removes the energy content from the small scales (smaller than some a priori fixed spatial scale $\alpha$) using a dispersive rather than dissipative mechanism, thus maintaining the crucial features



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