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.
Jetzt vorbestellen
versandkostenfrei
Buch (Gebunden)
54.99 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
Produktdetails
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)
Kommentar zu "Computational Turbulent Incompressible Flow.Vol.4"