Approximate Deconvolution Models of Turbulence

Analysis, Phenomenology and Numerical Analysis

  • William J. Layton
  • Leo Rebholz

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

  • William J. Layton
    • 1
  • Leo Rebholz
    • 2
  1. 1.Dept. MathematicsUniversity of PittsburghPittsburghUSA
  2. 2.Department of Mathematical SciencesClemson UniversityClemsonUSA

Bibliographic information

  • 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
  • Print ISBN 978-3-642-24408-7
  • Online ISBN 978-3-642-24409-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book