Computational Turbulent Incompressible Flow
Applied Mathematics: Body and Soul 4
Published on 5. January 2007
Book
Hardback
XIX, 401 pages
978-3-540-46531-7 (ISBN)
Description
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 / Votes
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)
More details
Edition
2007 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Primary & secondary/elementary & high school
Graduate
Illustrations
XIX, 401 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 29 mm
Weight
793 gr
ISBN-13
978-3-540-46531-7 (9783540465317)
DOI
10.1007/978-3-540-46533-1
Schweitzer Classification
Other editions
Additional editions
Johan Hoffman | Claes Johnson
Computational Turbulent Incompressible Flow
Applied Mathematics: Body and Soul 4
Book
10/2010
Springer
€53.49
Shipment within 7-9 days
Johan Hoffman | Claes Johnson
Computational Turbulent Incompressible Flow
Applied Mathematics: Body and Soul 4
E-Book
02/2007
1st Edition
Springer
€71.64
Available for download
Persons
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
Content
Overview.- Main Objective.- Mysteries and Secrets.- Turbulent Flow and History of Aviation.- The Euler Equations.- The Incompressible Euler and Navier-Stokes Equations.- Triumph and Failure of Mathematics.- Laminar and Turbulent Flow.- Computational Turbulence.- A First Study of Stability.- d'Alembert's Mystery and Bernoulli's Law.- Prandtl's Resolution of d'Alembert's Mystery.- New Resolution of d'Alembert's Mystery.- Mathematics of Turbulence.- Turbulence and Chaos.- A $1 Million Prize Problem.- Weak Uniqueness by Computation.- Existence of ?-Weak Solutions by G2.- Stability Aspects of Turbulence in Model Problems.- A Convection-Diffusion Model Problem.- G2 for Euler.- Summary of Mathematical Aspects.- Secrets.- Secrets of Ball Sports.- Secrets of Flight.- Secrets of Sailing.- Secrets of Racing.- Computational Method.- Reynolds Stresses In and Out.- Smagorinsky Viscosity In and Out.- Friction Boundary Condition as Wall Model.- G2 for Navier-Stokes Equations.- A Discrete Solver.- G2 as Adaptive DNS/LES.- Implementation of G2 with FEniCS.- Moving Meshes and ALE Methods.- Flow Fundamentals.- Bluff Body Flow.- Boundary Layers.- Separation.- Transition to Turbulence.- Loschmidt's Mystery.- Thermodynamics.- Joule's 1845 Experiment.- Compressible Euler in 1d.- Burgers' Equation.- Compressible Euler in 3d.- EG2 for Compressible Flow.- Philosophy of EG2.- Does God Really Play Dice?.