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001			8681251
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005			20210914114215.0
006			m d
007			cr n
008			060829s2007 gw | s |||| 0|eng d
020			_a9783540465317
024	7		_a10.1007/978-3-540-46533-1 _2doi
035			_a(WaSeSS)ssj0000322059
038			_akhadija
040			_dWaSeSS _ce
050		4	_aQA71-90
050		4	_aTA357.5.T87
072		7	_aPDE _2bicssc
072		7	_aCOM014000 _2bisacsh
072		7	_aMAT003000 _2bisacsh
082	0	4	_a510 _223 _bHOF
100	1		_aHoffman, Johan. _eauthor. _982432
210	1	0	_aComputational Turbulent Incompressible Flow
245	1	0	_aComputational Turbulent Incompressible Flow _bApplied Mathematics: Body and Soul 4 / _cby Johan Hoffman, Claes Johnson.
505	0		_aI 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?.
506			_aLicense restrictions may limit access.
520			_aThis 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.
563			_ahardcover
650		0	_aMathematics.
650		0	_aChemistry _xMathematics. _910735
650		0	_aComputer science _xMathematics. _917957
650		0	_aComputer science.
650		0	_aMathematical physics. _98499
650		0	_aEngineering mathematics. _92310
650	1	4	_aMathematics. _982433
650	2	4	_aComputational Science and Engineering. _91424
650	2	4	_aComputational Mathematics and Numerical Analysis. _982434
650	2	4	_aMathematical Methods in Physics. _982435
650	2	4	_aClassical Continuum Physics. _982436
650	2	4	_aAppl.Mathematics/Computational Methods of Engineering. _981802
650	2	4	_aMath. Applications in Chemistry. _982437
700	1		_aJohnson, Claes. _eauthor. _982438
710	2		_aSpringerLink (Online service) _981564
773	0		_tSpringer eBooks
773		0	_tSpringerLink ebooks - Mathematics and Statistics (2007)
776	0	8	_iPrinted edition: _z9783540465317
856	4	0	_uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio8681251 _zFull text available from SpringerLink ebooks - Mathematics and Statistics (2007)
910			_aVendor-generated brief record
942			_2ddc _cBK
999			_c32534 _d32534