Dynamic Multilevel Methods and the Numerical Simulation of Turbulence by Thierry DuboisDynamic Multilevel Methods and the Numerical Simulation of Turbulence by Thierry Dubois

Dynamic Multilevel Methods and the Numerical Simulation of Turbulence

byThierry Dubois, François Jauberteau, Roger Temam

Hardcover | January 13, 1999

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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. Before describing in detail the numerical algorithm, survey chapters on the mathematical theory of the Navier-Stokes equations and on the physics of the conventional theory of turbulence are included. The multilevel methods are applied here to the simulation of homogeneous isotropic turbulent flows as well as turbulent channel flows. The implementation issues are discussed in detail and numerical simulations of the flows cited above are presented and analyzed. The methods have been applied in the context of the direct numerical simulation and are therefore compared to such simulations.
Title:Dynamic Multilevel Methods and the Numerical Simulation of TurbulenceFormat:HardcoverDimensions:312 pages, 8.98 × 5.98 × 0.83 inPublished:January 13, 1999Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521621658

ISBN - 13:9780521621656

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Table of Contents

1. The Navier-Stokes equations and their mathematical background; 2. The physics of turbulent flows; 3. Computational methods for the direct simulation of turbulence; 4. Direct numerical simulation (DNS) versus turbulence modeling; 5. Long time behavior attractors and their approximation; 6. Separation of scales in turbulence; 7. Numerical analysis of multilevel methods; 8. Dynamic multilevel methodologies; 9. Computational implementation of the dynamic multilevel (DML) methods; 10. Numerical results; Conclusion; References; Figures.

From Our Editors

Engineers, scientists and mathematicians working with numerical simulations of turbulence equations will want to get their hands on this book. Dynamic Multilevel Methods and the Numerical Simulation of Turbulence utilises multilevel algorithmic methods that draw from dynamical systems theory and the decomposition of the unknown function into two or more arrays corresponding to different scales in the Fourier space. The book applies the multilevel methods to the simulation of homogeneous isotropic turbulent flows. Piece of cake.

Editorial Reviews

"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