LEADER 03621nam 2200589 a 450 001 9911006795603321 005 20241120174656.0 010 $a0-89871-890-2 010 $a1-68015-791-4 024 7 $aCS06 035 $a(CKB)2430000000023572 035 $a(SSID)ssj0001061931 035 $a(PQKBManifestationID)12513102 035 $a(PQKBTitleCode)TC0001061931 035 $a(PQKBWorkID)11109577 035 $a(PQKB)11728245 035 $a(CaBNVSL)gtp00544278 035 $a(SIAM)9780898718904 035 $a(EXLCZ)992430000000023572 071 50$aCS06$bSIAM 100 $a20101020d2008 fy 0 101 0 $aeng 135 $aurbn||||m|||a 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to the numerical analysis of incompressible viscous flows /$fWilliam Layton 210 $aPhiladelphia, Pa. $cSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)$d2008 215 $a1 electronic text (xix, 213 p.) $cill., digital file 225 1 $aComputational science and engineering series ;$v6 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-89871-657-8 320 $aIncludes bibliographical references and index. 327 $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. 330 3 $aIntroduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations. 410 0$aComputational science and engineering ;$v6. 606 $aViscous flow$xMathematical models 606 $aNumerical analysis 606 $aFluid mechanics 615 0$aViscous flow$xMathematical models. 615 0$aNumerical analysis. 615 0$aFluid mechanics. 676 $a532/.053301518 700 $aLayton$b W. J$g(William J.)$0477399 712 02$aSociety for Industrial and Applied Mathematics. 801 0$bCaBNVSL 801 1$bCaBNVSL 801 2$bCaBNVSL 906 $aBOOK 912 $a9911006795603321 996 $aIntroduction to the numerical analysis of incompressible viscous flows$942403 997 $aUNINA