Approximate Deconvolution Models of Turbulence
Analysis, Phenomenology and Numerical Analysis
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Beschreibung
This volume presents a mathematical development of a recent approach to the modeling and simulation of turbulent flows based on methods for the approximate solution of inverse problems. The resulting Approximate Deconvolution Models or ADMs have some advantages over more commonly used turbulence models – as well as some disadvantages. Our goal in this book is to provide a clear and complete mathematical development of ADMs, while pointing out the difficulties that remain. In order to do so, we present the analytical theory of ADMs, along with its connections, motivations and complements in the phenomenology of and algorithms for ADMs.
This volume presents a mathematical development of a recent approach to the modeling and simulation of turbulent flows based on methods for the approximate solution of inverse problems. The resulting Approximate Deconvolution Models or ADMs have some advantages over more commonly used turbulence models – as well as some disadvantages. Our goal in this book is to provide a clear and complete mathematical development of ADMs, while pointing out the difficulties that remain. In order to do so, we present the analytical theory of ADMs, along with its connections, motivations and complements in the phenomenology of and algorithms for ADMs.
Comprehensive treatment of the subject including modeling, analysis, phenomenology and numerical analysis Includes both turbulence models and Navier-Stokes regularizations Presents current state of the models and indicates important questions for further development
Autor*in
William J. Layton
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From the reviews:
“This monograph presents a mathematical approach to turbulence modeling and is aimed at graduate students and researchers in the field of computational fluid dynamics. … The book presents the governing Navier-Stokes equations and the basics of large eddy simulation from a mathematical perspective without going into details of the flow physics. … Difficulties of the models in the vicinity of walls with no-slip boundary conditions are mentioned, and numerical examples of different flows illustrate some properties of the approximate deconvolution models.” (Kai Schneider, Zentralblatt MATH, Vol. 1241, 2012)
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