This volume presents for the first time in book form the mathematical principles underlying the Large Eddy Simulation (LES) method, which is rapidly finding new practical applications in engineering. LES seeks to predict the dynamics of organized structures in turbulent flows by approximating local, spatial averages of the flow. Since its introduction in 1970, LES has matured into a highly-developed computational technology, using the tools of turbulence theory and the experience gained from practical computation. This book teaches the mathematical foundations of LES and its models and connects the powerful tools of applied mathematics, partial differential equations and LES.

The LES-method is rapidly developing in many practical applications in engineering The mathematical background is presented here for the first time in book form by one of the leaders in the field Includes supplementary material: sn.pub/extras

Inhalt
The Navier-Stokes Equations.- Eddy Viscosity Models.- to Eddy Viscosity Models.- Improved Eddy Viscosity Models.- Uncertainties in Eddy Viscosity Models and Improved Estimates of Turbulent Flow Functionals.- Advanced Models.- Basic Criteria for Subfilter-scale Modeling.- Closure Based on Wavenumber Asymptotics.- Scale Similarity Models.- Boundary Conditions.- Filtering on Bounded Domains.- Near Wall Models in LES.- Numerical Tests.- Variational Approximation of LES Models.- Test Problems for LES.