Computational Turbulent Incompressible Flow
Applied Mathematics: Body and Soul 4
Authors: Hoffman, Johan, Johnson, Claes
Free PreviewBuy this book
- About this Textbook
-
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.
- About the authors
-
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
- Reviews
-
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)
- Table of contents (44 chapters)
-
-
Main Objective
Pages 3-28
-
Mysteries and Secrets
Pages 29-32
-
Turbulent Flow and History of Aviation
Pages 33-37
-
The Euler Equations
Pages 39-42
-
The Incompressible Euler and Navier–Stokes Equations
Pages 43-47
-
Table of contents (44 chapters)
- Download Sample pages 1 PDF (1.7 MB)
- Download Table of contents PDF (141.3 KB)
- Authors' website for Body and Soul
- Homepage of Claes Johnson
- Homepage of Johan Hoffman
- Link to Volume I
- Link to Volume II
- Link to Volume III
- Link to journal article "Resolution of d'Alembert's Paradox" by J. Hoffman and C. Johnson
Buy this book
Services for this Book
Recommended for you
Bibliographic Information
- Bibliographic Information
-
- Book Title
- Computational Turbulent Incompressible Flow
- Book Subtitle
- Applied Mathematics: Body and Soul 4
- Authors
-
- Johan Hoffman
- Claes Johnson
- Copyright
- 2007
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-46533-1
- DOI
- 10.1007/978-3-540-46533-1
- Hardcover ISBN
- 978-3-540-46531-7
- Softcover ISBN
- 978-3-642-07986-3
- Edition Number
- 1
- Number of Pages
- XIX, 401
- Topics
