LEADER 03260nam 22004693 450 001 9911046726203321 005 20241214060255.0 010 $a0-323-95887-7 035 $a(CKB)36650385400041 035 $a(MiAaPQ)EBC31825223 035 $a(Au-PeEL)EBL31825223 035 $a(Exl-AI)31825223 035 $a(OCoLC)1478692139 035 $a(EXLCZ)9936650385400041 100 $a20241214d2024 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Finite Element Method for Fluid Dynamics 205 $a8th ed. 210 1$aChantilly :$cElsevier Science & Technology,$d2024. 210 4$dİ2025. 215 $a1 online resource (598 pages) 311 08$a0-323-95886-9 327 $aFront Cover -- The Finite Element Method for Fluid Dynamics -- Copyright -- Contents -- List of figures -- List of tables -- Preface -- 1 The equations of fluid dynamics -- 1.1 General remarks and classification of fluid dynamics problems -- 1.2 The governing equations of fluid dynamics -- 1.2.1 Stresses in fluids -- 1.2.2 Constitutive relations for fluids -- 1.2.3 Mass conservation -- 1.2.4 Momentum conservation: dynamic equilibrium -- 1.2.5 Energy conservation and equation of state -- 1.2.6 Boundary conditions -- 1.2.7 Navier?Stokes and Euler equations -- 1.3 Inviscid, incompressible flow -- 1.3.1 Velocity potential solution -- 1.4 Incompressible (or nearly incompressible) flows -- 1.5 Concluding remarks -- References -- 2 The finite element approximation -- 2.1 Introduction -- 2.2 Numerical solutions: weak forms, weighted residual and finite element approximation -- 2.2.1 Strong and weak forms -- 2.2.1.1 Weak form of equations -- 2.2.1.2 Weighted residual approximation -- 2.2.1.3 The Galerkin, finite element, method -- 2.2.2 A finite volume approximation$7Generated by AI. 330 $aThis book, 'The Finite Element Method for Fluid Dynamics', authored by Olek C. Zienkiewicz, Robert L. Taylor, and P. Nithiarasu, provides a comprehensive exploration of the finite element method as applied to fluid dynamics. The text covers fundamental equations of fluid dynamics, numerical methods, and advanced topics such as convection-dominated problems, turbulence modeling, compressible flows, and porous media. It is designed to serve as both a theoretical and practical guide, incorporating the latest developments in the field. The book is intended for researchers, practitioners, and graduate-level students in engineering and computational sciences, aiming to enhance understanding and application of finite element techniques in solving complex fluid dynamic problems.$7Generated by AI. 606 $aFluid dynamics$7Generated by AI 606 $aFinite element method$7Generated by AI 615 0$aFluid dynamics 615 0$aFinite element method 676 $a620.106 700 $aTaylor$b R. L$0287288 701 $aNithiarasu$b P$0632379 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911046726203321 996 $aThe Finite Element Method for Fluid Dynamics$94481457 997 $aUNINA