Approximate Deconvolution Models of Turbulence: Analysis, Phenomenology and Numerical Analysis

✍ Scribed by William J. Layton, Leo Rebholz (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2012
• Tongue: English
• Leaves: 190
• Series: Lecture Notes in Mathematics 2042
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-viii
Introduction....Pages 1-33
Large Eddy Simulation....Pages 35-60
Approximate Deconvolution Operators and Models....Pages 61-88
Phenomenology of ADMs....Pages 89-97
Time Relaxation Truncates Scales....Pages 99-120
The Leray-Deconvolution Regularization....Pages 121-144
NS-Alpha- and NS-Omega-Deconvolution Regularizations....Pages 145-162
Back Matter....Pages 163-184

✦ Subjects

Numerical Analysis; Engineering Fluid Dynamics