Coverart for item
The Resource Applied mathematics, body and soul, 4, Computational turbulent incompressible flow, Johan Hoffman, Claes Johnson

Applied mathematics, body and soul, 4, Computational turbulent incompressible flow, Johan Hoffman, Claes Johnson

Label
Applied mathematics, body and soul, 4, Computational turbulent incompressible flow
Title
Applied mathematics, body and soul
Title number
4
Title part
Computational turbulent incompressible flow
Statement of responsibility
Johan Hoffman, Claes Johnson
Title variation
Computational turbulent incompressible flow
Creator
Contributor
Subject
Language
eng
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 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
Is part of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Hoffman, Johan
Dewey number
519
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA11.2
LC item number
E75 2004eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1943-
http://library.link/vocab/relatedWorkOrContributorName
Johnson, Claes
http://library.link/vocab/subjectName
  • Mathematics
  • Algebras, Linear
  • Differential equations
  • Differential equations, Partial
  • Calculus of variations
  • Numerical analysis
  • Mathematical optimization
  • Fluid mechanics
  • Algebras, Linear
  • Differential equations
  • Differential equations, Partial
  • Calculus of variations
  • Numerical analysis
  • Mathematical optimization
  • Fluid mechanics
  • Mathematics
  • Algebras, Linear
  • Calculus of variations
  • Differential equations
  • Differential equations, Partial
  • Fluid mechanics
  • Mathematical optimization
  • Mathematics
  • Numerical analysis
Label
Applied mathematics, body and soul, 4, Computational turbulent incompressible flow, Johan Hoffman, Claes Johnson
Instantiates
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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?
Control code
184985328
Dimensions
unknown
Extent
1 online resource (1 volume)
Form of item
online
Isbn
9783540465331
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-540-46533-1
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-46531-7
Specific material designation
remote
System control number
(OCoLC)184985328
Label
Applied mathematics, body and soul, 4, Computational turbulent incompressible flow, Johan Hoffman, Claes Johnson
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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?
Control code
184985328
Dimensions
unknown
Extent
1 online resource (1 volume)
Form of item
online
Isbn
9783540465331
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-540-46533-1
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-46531-7
Specific material designation
remote
System control number
(OCoLC)184985328

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