"The authors have performed extensive research in this area and the book is a good source of the state of art in this methodology" Mathematics of Computation
"The book is very interesting and contains a wealth of information, new concepts and results, and good reviews of classical theories in a total of 10 chapters." Siam Review
"The book is written in a clear and formal mathematical language. It presents an excellent overview of all basic aspects of turbulence modelling and simulation, and a thorough description of existing DML methods." Mathematical Reviews
This book describes the implementation of multilevel methods for the numerical simulation of turbulent flows. The general ideas for the algorithms presented stem from dynamical systems theory and are based on the decomposition of the unknown function into two or more arrays corresponding to different scales in the Fourier space. Chapters also describe the mathematical theory of the Navier-Stokes equations and the physics of the conventional theory of turbulence. The implementation issues are discussed in detail and numerical simulations of the flows are presented and analyzed. The methods have been applied in the context of the direct numerical simulation and are therefore compared to such simulations.