Mathematics of Large Eddy Simulation of Turbulent Flows (Scientific Computation) - Softcover

Berselli, Luigi Carlo C.; Iliescu, Traian; Layton, William J.

Softcover

ISBN 10: 3642065791 ISBN 13: 9783642065798

Verlag: Springer, 2010

Inhaltsangabe

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.

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Large eddy simulation (LES) is a method of scientific computation seeking to predict the dynamics of organized structures in turbulent flows by approximating local, spatial averages of the flow. Since its birth in 1970, LES has undergone an explosive development and has matured into a highly-developed computational technology. It uses the tools of turbulence theory and the experience gained from practical computation.

This book focuses on the mathematical foundations of LES and its models and provides a connection between the powerful tools of applied mathematics, partial differential equations and LES. Thus, it is concerned with fundamental aspects not treated so deeply in the other books in the field, aspects such as well-posedness of the models, their energy balance and the connection to the Leray theory of weak solutions of the Navier-Stokes equations. The authors give a mathematically informed and detailed treatment of an interesting selection of models, focusing on issues connected with understanding and expanding the correctness and universality of LES.

This volume offers a useful entry point into the field for PhD students in applied mathematics, computational mathematics and partial differential equations. Non-mathematicians will appreciate it as a reference that introduces them to current tools and advances in the mathematical theory of LES.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 3642065791
• ISBN 13: 9783642065798
• Einband: Taschenbuch
• Anzahl der Seiten: 368
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland