Title: Variational and Multiscale Methods in Turbulence with Particular Emphasis on Large Eddy Simulation


		       Thomas J.R. Hughes
	  Aerospace Engineering and Engineering Mechanics
	  Computational and Applied Mathematics Chair III
     Institute for Computational Engineering and Sciences (ICES)
                 The University of Texas at Austin
		       Austin, TX 78712-0027
                  E-mail: hughes@ices.utexas.edu
            Web: http://www.ticam.utexas.edu/%7Ehughes/


Abstract:
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.