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
Resource Information
The item Applied mathematics, body and soul, 4, Computational turbulent incompressible flow, Johan Hoffman, Claes Johnson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Applied mathematics, body and soul, 4, Computational turbulent incompressible flow, Johan Hoffman, Claes Johnson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (1 volume)
- 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?
- Isbn
- 9783540465331
- 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
- Subject
-
- Algebras, Linear
- Algebras, Linear
- Algebras, Linear
- Calculus of variations
- Calculus of variations
- Calculus of variations
- Calculus of variations
- Differential equations
- Differential equations
- Differential equations
- Differential equations
- Differential equations, Partial
- Differential equations, Partial
- Differential equations, Partial
- Differential equations, Partial
- Fluid mechanics
- Fluid mechanics
- Fluid mechanics
- Fluid mechanics
- Mathematical optimization
- Mathematical optimization
- Mathematical optimization
- Mathematical optimization
- Mathematics
- Mathematics
- Mathematics
- Mathematics
- Numerical analysis
- Numerical analysis
- Numerical analysis
- Numerical analysis
- Algebras, Linear
- 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
- 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
- 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
- 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
Subject
- Algebras, Linear
- Algebras, Linear
- Algebras, Linear
- Calculus of variations
- Calculus of variations
- Calculus of variations
- Calculus of variations
- Differential equations
- Differential equations
- Differential equations
- Differential equations
- Differential equations, Partial
- Differential equations, Partial
- Differential equations, Partial
- Differential equations, Partial
- Fluid mechanics
- Fluid mechanics
- Fluid mechanics
- Fluid mechanics
- Mathematical optimization
- Mathematical optimization
- Mathematical optimization
- Mathematical optimization
- Mathematics
- Mathematics
- Mathematics
- Mathematics
- Numerical analysis
- Numerical analysis
- Numerical analysis
- Numerical analysis
- Algebras, Linear
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Applied-mathematics-body-and-soul-4/a1BwLdlnLhA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Applied-mathematics-body-and-soul-4/a1BwLdlnLhA/">Applied mathematics, body and soul, 4, Computational turbulent incompressible flow, Johan Hoffman, Claes Johnson</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
