Johan Hoffman, Claes Johnson

Computational Turbulent Incompressible Flow (eBook, PDF)

Applied Mathematics: Body and Soul 4

• Format: PDF

Produktbeschreibung

This book, Volume 4 of the book series of the Body and Soul mathematics education reform program, presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra covered in Volumes 1 through 3. The book puts the Body and Soul computational finite element methodology in the form of General Galerkin (G2) up against the challenge of computing turbulent solutions of the inviscid Euler equations and the Navier-Stokes equations with small viscosity. It shows that direct application of G2 without any turbulence or wall modeling, allows reliable computation on a PC of mean value quantities of turbulent flow such as drag and lift. The text presents new aspects of both mathematics and computation of turbulent flow, and challenges established approaches.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 401
• Erscheinungstermin: 13. Februar 2007
• Englisch
• ISBN-13: 9783540465331
• Artikelnr.: 44224107

Autorenporträt

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

Inhaltsangabe

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?.

Rezensionen

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)