Thomas J.R. Hughes
University of Texas, Austin
We describe recent progress in the formulation and development of Large
Eddy Simulation procedures utilizing variational methods in place of traditional
filtering techniques and employing multiscale decompositions of underlying
function spaces. The approach provides a framework for simultaneously addressing
theoretical issues concerning the foundation of Large Eddy Simulation procedures
and practical modeling issues. Computations employing the simplest instantiations
of the ideas are presented for homogeneous isotropic flows and wall-bounded
flows and in all cases very good results are obtained.