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Computational Turbulent Incompressible Flow

Applied Mathematics: Body and Soul 4

  • Textbook
  • © 2007

Overview

Authors:
  1. Johan Hoffman

    1. School of Computer Science and Communication, Royal Institute of Technology - KTH, Sweden

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    You can also search for this author in PubMed   Google Scholar

  2. Claes Johnson

    1. School of Engineering Sciences, Royal Institute of Technology-KTH, Sweden

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    You can also search for this author in PubMed   Google Scholar

  • Outstanding textbook presenting plenty of new material
  • Excellent pedagogical approach
  • Includes supplementary material: sn.pub/extras

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Table of contents (44 chapters)

  1. Front Matter

    Pages I-XIX
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  3. Mathematics of Turbulence

    1. Front Matter

      Pages 96-96
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    2. Turbulence and Chaos

      Pages 97-111

    3. A $1 Million Prize Problem

      Pages 113-122

    4. Weak Uniqueness by Computation

      Pages 123-130

    5. Existence of ε-Weak Solutions by G2

      Pages 131-135

    6. Stability Aspects of Turbulence in Model Problems

      Pages 137-145
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Keywords

About this book

Applied Mathematics: Body&Soul is a mathematics education reform p- gram including a series of books, together with associated educational ma- rial and open source software freely available from the project web page at www.bodysoulmath.org. Body&Soul re?ects the revolutionary new possibilities of mathematical modeling opened by the modern computer in the form of Computational C- culus (CC), which is now changing the paradigm of mathematical modeling in science and technology with new methods, questions and answers, as a modern form of the classical calculus of Leibniz and Newton. The Body&Soul series of books presents CC in a synthesis of com- tational mathematics (Body) and analytical mathematics (Soul) including applications. Volumes 1-3 [36] give a modern version of calculus and linear algebra including computation starting at a basic undergraduate level, and subsequent volumes on a graduate level cover di?erent areas of applications with focus on computational methods: • Volume 4: Computational Turbulent Incompressible Flow. • Volume 5: Computational Thermodynamics. • Volume 6: Computational Dynamical Systems. The present book is Volume 4, with Volumes 5 and 6 to appear in 2007 and further volumes on solid mechanics and electro-magnetics being planned. A gentle introduction to the Body&Soul series is given in [63].

Reviews

From the reviews:

"This book considers the numerical simulation of incompressible turbulent flows which are modeled by the Euler equations or the Navier-Stokes equations. … Throughout the book, a lot of numerical examples are presented. … they might be used in courses to illustrate the features of turbulent flows for students." (John Volker, Mathematical Reviews, Issue 2008 d)

Authors and Affiliations

  • School of Computer Science and Communication, Royal Institute of Technology - KTH, Sweden

    Johan Hoffman

  • School of Engineering Sciences, Royal Institute of Technology-KTH, Sweden

    Claes Johnson

About the authors

The authors are leading researchers in computational mathematics who have written various successful books.

The authors have been awarded several prizes:

  • Johan Hoffman: Bill Morton Prize, Leslie Fox Prize
  • Claes Johnson: Humboldt Research Prize

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