Mathematics of Large Eddy Simulation of Turbulent Flows

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

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.

Large eddy simulation (LES) seeks to simulate the large structures of a turbulent flow. This is the first monograph which considers LES from a mathematical point of view. It concentrates on LES models for which mathematical and numerical analysis is already available and on related LES models. Most of the available analysis is given in detail, the implementation of the LES models into a finite element code is described, the efficient solution of the discrete systems is discussed and numerical studies with the considered LES models are presented.

With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance. The complexity of the problems that arise in the study of turbulence requires tools from various scientific disciplines, including mathematics, physics, engineering and computer science.