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Applied mathematics, body and soul. 4, Computational turbulent incompressible flow

Author: Johan Hoffman; Claes Johnson
Publisher: Berlin ; New York : Springer, ©2007.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This is Volume 4 of the book series of the Body & Soul mathematics education reform program, and presents a unified new approach to computational simulation of turbulentflow starting from the general basis of calculus and linear algebra of Vol 1-3. The book puts the Body & Soul computational finite element methodology in the form of General Galerkin (G2), up against the challenge of computing turbulent solutions of  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Hoffman, Johan.
Applied mathematics, body and soul. 4, Computational turbulent incompressible flow.
Berlin ; New York : Springer, ©2007
(DLC) 2003066672
(OCoLC)55138531
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Johan Hoffman; Claes Johnson
ISBN: 9783540465331 3540465332 9783540465317 3540465316
OCLC Number: 184985328
Description: 1 online resource (1 volume) : illustrations
Contents: 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?
Other Titles: Computational turbulent incompressible flow
Responsibility: Johan Hoffman, Claes Johnson.

Abstract:

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  Read more...

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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 Read more...

 
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