Computational Turbulent Incompressible Flow: Applied Mathematics: Body and Soul 4 - Softcover

Hoffman, Johan; Johnson, Claes

Softcover

ISBN 10: 3642079865 ISBN 13: 9783642079863

Publisher: Springer, 2010

Synopsis

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.

About this title

About the Author

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

From the Back Cover

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 turbulent
flow 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 the inviscid Euler equations and the Navier-Stokes equations with small viscosity.
The book 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 power of G2 is demonstrated by resolving several classical scientific paradoxes of fluid flow and by uncovering secrets of flying, sailing, racing and ball sports. The book presents new aspects on both mathematics and computation of turbulent flow, and challenges established approaches.

The book is directed to a wide audience of computational mathematicians fluid dynamicists and scientists.

The G2 solver is available as part the free software project FEniCS at www.fenics.org. The book has a dedicated dynamic web page, including movies from a wide variety of simulations,  at www.bodysoulmath.org.

The book is focussed on incompressible flow, but opens to compressible flow continued in Vol 5 on thermodynamics.

The authors are experts on computational mathematics and technology.

Edition details

• Publisher: Springer
• Publication date: 2010
• Language: English
• ISBN 10: 3642079865
• ISBN 13: 9783642079863
• Binding: Paperback
• Number of pages: 420