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© 2012

Approximate Deconvolution Models of Turbulence

Analysis, Phenomenology and Numerical Analysis

Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 2042)

Table of contents

  1. Front Matter
    Pages i-viii
  2. William J. Layton, Leo G. Rebholz
    Pages 1-33
  3. William J. Layton, Leo G. Rebholz
    Pages 35-60
  4. William J. Layton, Leo G. Rebholz
    Pages 61-88
  5. William J. Layton, Leo G. Rebholz
    Pages 89-97
  6. William J. Layton, Leo G. Rebholz
    Pages 99-120
  7. William J. Layton, Leo G. Rebholz
    Pages 121-144
  8. William J. Layton, Leo G. Rebholz
    Pages 145-162
  9. Back Matter
    Pages 163-184

About this book

Introduction

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.

Keywords

65-XX, 76-XX alpha model approximate decomvolution large eddy simulation turbulence

Authors and affiliations

  1. 1.Dept. MathematicsUniversity of PittsburghPittsburghUSA
  2. 2.Department of Mathematical SciencesClemson UniversityClemsonUSA

Bibliographic information

  • Book Title Approximate Deconvolution Models of Turbulence
  • Book Subtitle Analysis, Phenomenology and Numerical Analysis
  • Authors William J. Layton
    Leo G. Rebholz
  • Series Title Lecture Notes in Mathematics
  • DOI https://doi.org/10.1007/978-3-642-24409-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-642-24408-7
  • eBook ISBN 978-3-642-24409-4
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VIII, 184
  • Number of Illustrations 11 b/w illustrations, 11 illustrations in colour
  • Topics Numerical Analysis
    Engineering Fluid Dynamics
  • Buy this book on publisher's site
Industry Sectors
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Engineering

Reviews

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)