Computational Turbulent Incompressible Flow.Vol.4
Computational Turbulent Incompressible Flow
(Sprache: Englisch)
This is Volume 4 of the book series of the Body and Soul mathematics education reform program. It presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra of Vol 1-3.
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Produktinformationen zu „Computational Turbulent Incompressible Flow.Vol.4 “
This is Volume 4 of the book series of the Body and Soul mathematics education reform program. It presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra of Vol 1-3.
Klappentext zu „Computational Turbulent Incompressible Flow.Vol.4 “
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].
Inhaltsverzeichnis zu „Computational Turbulent Incompressible Flow.Vol.4 “
I 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'Alemberts's Mystery
- New Resolution of d'Almenbert's Mystery
II Mathematics of Turbulence: Turbulence and Chaos
- A $1 Million Prize Problem
- Work Uniqueness by Computation
- Existence of e-Weak Solutions by G2
- Stability Aspects of Turbulence in Model Problems
- A Convection-Diffusion Model Problem
- G2 for Euler
- Summary of Mathematical Aspects
III Secrets: Secrets of Ball Sports
- Secrets of Flight
- Secrets of Sailing
- Secrets of Racing
IV 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
V Flow Fundamentals: Bluff Body Flow
- Boundary Layers
- Separation
- Transition to Turbulence
VI 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?
Autoren-Porträt von Johan Hoffman, Claes Johnson
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
Bibliographische Angaben
- Autoren: Johan Hoffman , Claes Johnson
- 2007, XIX, 401 Seiten, Maße: 15,5 x 23,5 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3540465316
- ISBN-13: 9783540465317
- Erscheinungsdatum: 05.01.2007
Sprache:
Englisch
Rezension zu „Computational Turbulent Incompressible Flow.Vol.4 “
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)
Pressezitat
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)
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