03554nam 2200469 a 45000010014000000030008000140050017000220060019000390070015000580080041000730100017001140200035001310200026001660240015001920350025002070400030002320500023002620820023002851000032003082450117003402600140004573000060005974900054006575040051007115050378007625060072011405201292012125300037025045380036025415380047025775880054026246500039026786500024027176500021027416530028027626530019027906530023028097100052028327760065028848300048029498560087029979780898718904CaBNvSL20101024180136.0m e d cr bn |||m|||a101020s2008 paua fob 001 0 eng d z 2008018448 a9780898718904 (electronic bk.) z9780898716573 (print)7 aCS062siam a(CaBNvSL)gtp00544278 aCaBNvSLcCaBNvSLdCaBNvSL 4aQA929b.L39 2008eb04a532/.0533015182221 aLayton, W. J.q(William J.)10aIntroduction to the numerical analysis of incompressible viscous flowsh[electronic resource] /cWilliam Layton. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2008. a1 electronic text (xix, 213 p. : ill.) :bdigital file.1 aComputational science and engineering series ;v6 aIncludes bibliographical references and index.0 aMathematical preliminaries: energy and stress -- Approximating scalars -- Vector and tensor analysis -- Approximating vector functions -- The equations of fluid motion -- The steady Navier-Stokes equations -- Approximating steady flows -- The time-dependent Navier-Stokes equations -- Approximating time-dependent flows -- Models of turbulent flow -- Appendix nomenclature. aRestricted to subscribers or individual electronic text purchasers.3 aIntroduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aViscous flowxMathematical models. 0aNumerical analysis. 0aFluid mechanics. aNavier-Stokes equations aFinite element aNumerical analysis2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716578z9780898716573w(DLC) 2008018448 0aComputational science and engineering ;v6.403SIAMuhttp://epubs.siam.org/ebooks/siam/computational_science_and_engineering/cs06