03621nam 2200589 a 450 991100679560332120241120174656.00-89871-890-21-68015-791-4CS06(CKB)2430000000023572(SSID)ssj0001061931(PQKBManifestationID)12513102(PQKBTitleCode)TC0001061931(PQKBWorkID)11109577(PQKB)11728245(CaBNVSL)gtp00544278(SIAM)9780898718904(EXLCZ)992430000000023572CS06SIAM20101020d2008 fy 0engurbn||||m|||atxtccrIntroduction to the numerical analysis of incompressible viscous flows /William LaytonPhiladelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)20081 electronic text (xix, 213 p.) ill., digital fileComputational science and engineering series ;6Bibliographic Level Mode of Issuance: Monograph0-89871-657-8 Includes bibliographical references and index.Mathematical 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.Introduction 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.Computational science and engineering ;6.Viscous flowMathematical modelsNumerical analysisFluid mechanicsViscous flowMathematical models.Numerical analysis.Fluid mechanics.532/.053301518Layton W. J(William J.)477399Society for Industrial and Applied Mathematics.CaBNVSLCaBNVSLCaBNVSLBOOK9911006795603321Introduction to the numerical analysis of incompressible viscous flows42403UNINA