03618nam 22005533 450 991104672620332120260721131207.097803239588750-323-95887-7(CKB)36650385400041(MiAaPQ)EBC31825223(Au-PeEL)EBL31825223(Exl-AI)31825223(OCoLC)1478692139(UkBuK)3275792(EXLCZ)993665038540004120241214d2024 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierThe finite element method for fluid dynamics /Olek C. Zienkiewicz, Robert L. Taylor, P. NithiarasuEighth editionElsevier Science & Technology20241 online resource (598 pages)9780323958868 0-323-95886-9 Front 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 approximationGenerated by AI.This 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.Generated by AI.Fluid dynamicsGenerated by AIFinite element methodGenerated by AIDinàmica de fluidslemacElements finits, Mètode delslemacFluid dynamicsFinite element methodDinàmica de fluids.Elements finits, Mètode dels.620.106Zienkiewicz O. C.440603Taylor Robert L(Robert Leroy),1934-Nithiarasu PerumalMiAaPQMiAaPQMiAaPQBOOK9911046726203321The finite element method for fluid dynamics4816452UNINA