1 (p1): 1 Introduction to the equations of fluid dynamics and the finite element approximation 1 (p1-1): 1.1 General remarks and classification of fluid dynamics problems discussed in this book 4 (p1-2): 1.2 The governing equations of fluid dynamics 11 (p1-3): 1.3 Inviscid,incompressible flow 13 (p1-4): 1.4 Incompressible(or nearly incompressible)flows 14 (p1-5): 1.5 Numerical solutions:weak forms,weighted residual and finite element approximation 26 (p1-6): 1.6 Concluding remarks 27 (p1-7): References 28 (p2): 2 Convection dominated problems-finite element approximations to the convection-diffusion-reaction equation 28 (p2-1): 2.1 Introduction 31 (p2-2): 2.2 The steady-state problem in one dimension 45 (p2-3): 2.3 The steady-state problem in two(or three)dimensions 49 (p2-4): 2.4 Steady state-concluding remarks 50 (p2-5): 2.5 Transients-introductory remarks 53 (p2-6): 2.6 Characteristic-based methods 65 (p2-7): 2.7 Taylor-Galerkin procedures for scalar variables 66 (p2-8): 2.8 Steady-state condition 66 (p2-9): 2.9 Non-linear waves and shocks 70 (p2-10): 2.10 Treatment of pure convection 72 (p2-11): 2.11 Boundary conditions for convection-diffusion 73 (p2-12): 2.12 Summary and concluding remarks 74 (p2-13): References 79 (p3): 3 The characteristic-based split(CBS)algorithm.A general procedure for compressible and incompressible flow 79 (p3-1): 3.1 Introduction 81 (p3-2): 3.2 Non-dimensional form of the governing equations 82 (p3-3): 3.3 Characteristic-based split(CBS)algorithm 92 (p3-4): 3.4 Explicit,semi-implicit and nearly implicit forms 95 (p3-5): 3.5 Artificial compressibility and dual time stepping 97 (p3-6): 3.6 ’Circumvention’of the Babu?ka-Brezzi(BB)restrictions 98 (p3-7): 3.7 A single-step version 100 (p3-8): 3.8 Boundary conditions 103 (p3-9): 3.9 The performance of two-step and one-step algorithms on an inviscid problem 104...

duxiu/initial_release/《有限元方法流体力学 第6版》_12660219.zip

zlibzh/no-category/本社, O. C. Zienkiewicz, R. L. Taylor, P. Nithiarasu著, Enkiewicz Zi, Ylor Ta, Thiarasu Ni/有限元方法流体力学 第6版_118056350.pdf

The finite element method for fluid dynamics = 有限元方法:流体力学 / monograph

The Finite Element Method for Fluid Dynamics Sixth edition

有限元方法 : 流体力学 : for fluid dynamics

O. C. Zienkiewicz, R. L. Taylor, J.Z. Zhu and P. Nithiarasu

Zienkiewicz, Olek C, Taylor, Robert L, Nithiarasu, P.

O C Zienkiewicz; Robert L Taylor; Perumal Nithiarasu

Elsevier/Butterworth-Heinemann; Butterworth-Heinemann; Elsevier Butterworth-Heinemann

Elsevier Science (Singapore) Pte Ltd

World Publishing Corporation

Butterworth-Heinemann Ltd

Architectural Press

世界图书出版公司北京公司

Focal Press

United Kingdom and Ireland, United Kingdom

6th ed., Oxford, New York, England, 2005

China, People's Republic, China

Sixth edition, Singapore, 2009

6th ed, Oxford ; Boston, 2005

Sixth edition, Oxford, 2005

Ying yin ban, Beijing, 2008

6th ed, Amsterdam, 2005

Singapore, Singapore

Beijing, 2009

6, PT, 2005

Bookmarks: p1 (p1): 1 Introduction to the equations of fluid dynamics and the finite element approximation
p1-1 (p1): 1.1 General remarks and classification of fluid dynamics problems discussed in this book
p1-2 (p4): 1.2 The governing equations of fluid dynamics
p1-3 (p11): 1.3 Inviscid，incompressible flow
p1-4 (p13): 1.4 Incompressible（or nearly incompressible）flows
p1-5 (p14): 1.5 Numerical solutions：weak forms，weighted residual and finite element approximation
p1-6 (p26): 1.6 Concluding remarks
p1-7 (p27): References
p2 (p28): 2 Convection dominated problems-finite element approximations to the convection-diffusion-reaction equation
p2-1 (p28): 2.1 Introduction
p2-2 (p31): 2.2 The steady-state problem in one dimension
p2-3 (p45): 2.3 The steady-state problem in two（or three）dimensions
p2-4 (p49): 2.4 Steady state-concluding remarks
p2-5 (p50): 2.5 Transients-introductory remarks
p2-6 (p53): 2.6 Characteristic-based methods
p2-7 (p65): 2.7 Taylor-Galerkin procedures for scalar variables
p2-8 (p66): 2.8 Steady-state condition
p2-9 (p66): 2.9 Non-linear waves and shocks
p2-10 (p70): 2.10 Treatment of pure convection
p2-11 (p72): 2.11 Boundary conditions for convection-diffusion
p2-12 (p73): 2.12 Summary and concluding remarks
p2-13 (p74): References
p3 (p79): 3 The characteristic-based split（CBS）algorithm.A general procedure for compressible and incompressible flow
p3-1 (p79): 3.1 Introduction
p3-2 (p81): 3.2 Non-dimensional form of the governing equations
p3-3 (p82): 3.3 Characteristic-based split（CBS）algorithm
p3-4 (p92): 3.4 Explicit，semi-implicit and nearly implicit forms
p3-5 (p95): 3.5 Artificial compressibility and dual time stepping
p3-6 (p97): 3.6 ’Circumvention’of the Babu？ka-Brezzi（BB）restrictions
p3-7 (p98): 3.7 A single-step version
p3-8 (p100): 3.8 Boundary conditions
p3-9 (p103): 3.9 The performance of two-step and one-step algorithms on an inviscid problem
p3-10 (p104): 3.10 Concluding remarks
p3-11 (p105): References
p4 (p110): 4 Incompressible Newtonian laminar flows
p4-1 (p110): 4.1 Introduction and the basic equations
p4-2 (p112): 4.2 Use of the CBS algorithm for incompressible flows
p4-3 (p123): 4.3 Adaptive mesh refinement
p4-4 (p131): 4.4 Adaptive mesh generation for transient problems
p4-5 (p131): 4.5 Slow flows-mixed and penalty formulations
p4-6 (p136): 4.6 Concluding remarks
p4-7 (p136): References
p5 (p141): 5 Incompressible non-Newtonian flows
p5-1 (p141): 5.1 Introduction
p5-2 (p141): 5.2 Non-Newtonian flows-metal and polymer forming
p5-3 (p154): 5.3 Viscoelastic flows
p5-4 (p163): 5.4 Direct displacement approach to transient metal forming
p5-5 (p165): 5.5 Concluding remarks
p5-6 (p166): References
p6 (p170): 6 Free surface and buoyancy driven flows
p6-1 (p170): 6.1 Introduction
p6-2 (p170): 6.2 Free surface flows
p6-3 (p189): 6.3 Buoyancy driven flows
p6-4 (p191): 6.4 Concluding remarks
p6-5 (p193): References
p7 (p197): 7 Compressible high-speed gas flow
p7-1 (p197): 7.1 Introduction
p7-2 (p198): 7.2 The governing equations
p7-3 (p199): 7.3 Boundary conditions-subsonic and supersonic flow
p7-4 (p202): 7.4 Numerical approximations and the CBS algorithm
p7-5 (p203): 7.5 Shock capture
p7-6 (p205): 7.6 Variable smoothing
p7-7 (p206): 7.7 Some preliminary examples for the Euler equation
p7-8 (p212): 7.8 Adaptive refinement and shock capture in Euler problems
p7-9 (p217): 7.9 Three-dimensional inviscid examples in steady state
p7-10 (p226): 7.10 Transient two-and three-dimensional problems
p7-11 (p227): 7.11 Viscous problems in two dimensions
p7-12 (p240): 7.12 Three-dimensional viscous problems
p7-13 (p241): 7.13 Boundary layer-inviscid Euler solution coupling
p7-14 (p242): 7.14 Concluding remarks
p7-15 (p242): References
p8 (p248): 8 Turbulent flows
p8-1 (p248): 8.1 Introduction
p8-2 (p251): 8.2 Treatment of incompressible turbulent flows
p8-3 (p264): 8.3 Treatment of compressible flows
p8-4 (p267): 8.4 Large eddy simulation
p8-5 (p270): 8.5 Detached Eddy Simulation（DES）
p8-6 (p270): 8.6 Direct Numerical Simulation（DNS）
p8-7 (p271): 8.7 Concluding remarks
p8-8 (p271): References
p9 (p274): 9 Generalized flow through porous media
p9-1 (p274): 9.1 Introduction
p9-2 (p275): 9.2 A generalized porous medium flow approach
p9-3 (p279): 9.3 Discretization procedure
p9-4 (p282): 9.4 Non-isothermal flows
p9-5 (p282): 9.5 Forced convection
p9-6 (p284): 9.6 Natural convection
p9-7 (p288): 9.7 Concluding remarks
p9-8 (p289): References
p10 (p292): 10 Shallow water problems
p10-1 (p292): 10.1 Introduction
p10-2 (p293): 10.2 The basis of the shallow water equations
p10-3 (p297): 10.3 Numerical approximation
p10-4 (p298): 10.4 Examples of application
p10-5 (p310): 10.5 Drying areas
p10-6 (p311): 10.6 Shallow water transport
p10-7 (p313): 10.7 Concluding remarks
p10-8 (p314): References
p11 (p317): 11 Long and medium waves
p11-1 (p317): 11.1 Introduction and equations
p11-2 (p318): 11.2 Waves in closed domains-finite element models
p11-3 (p320): 11.3 Difficulties in modelling surface waves
p11-4 (p320): 11.4 Bed friction and other effects
p11-5 (p320): 11.5 The short-wave problem
p11-6 (p321): 11.6 Waves in unbounded domains（exterior surface wave problems）
p11-7 (p324): 11.7 Unbounded problems
p11-8 (p324): 11.8 Local Non-Reflecting Boundary Conditions（NRBCs）
p11-9 (p327): 11.9 Infinite elements
p11-10 (p327): 11.10 Mapped periodic（unconjugated）infinite elements
p11-11 (p328): 11.11 Ellipsoidal type infinite elements of Burnett and Holford
p11-12 (p330): 11.12 Wave envelope（or conjugated）infinite elements
p11-13 (p332): 11.13 Accuracy of infinite elements
p11-14 (p332): 11.14 Trefftz type infinite elements
p11-15 (p333): 11.15 Convection and wave refraction
p11-16 (p335): 11.16 Transient problems
p11-17 (p336): 11.17 Linking to exterior solutions（or DtN mapping）
p11-18 (p338): 11.18 Three-dimensional effects in surface waves
p11-19 (p344): 11.19 Concluding remarks
p11-20 (p344): References
p12 (p349): 12 Short waves
p12-1 (p349): 12.1 Introduction
p12-2 (p349): 12.2 Background
p12-3 (p351): 12.3 Errors in wave modelling
p12-4 (p351): 12.4 Recent developments in short wave modelling
p12-5 (p352): 12.5 Transient solution of electromagnetic scattering problems
p12-6 (p352): 12.6 Finite elements incorporating wave shapes
p12-7 (p364): 12.7 Refraction
p12-8 (p372): 12.8 Spectral finite elements for waves
p12-9 (p374): 12.9 Discontinuous Galerkin finite elements（DGFE）
p12-10 (p378): 12.10 Concluding remarks
p12-11 (p378): References
p13 (p382): 13 Computer implementation of the CBS algorithm
p13-1 (p382): 13.1 Introduction
p13-2 (p383): 13.2 The data input module
p13-3 (p384): 13.3 Solution module
p13-4 (p387): 13.4 Output module
p13-5 (p387): References
p14 (p389): Appendix A Non-conservative form of Navier-Stokes equations
p15 (p391): Appendix B Self-adjoint differential equations
p16 (p392): Appendix C Postprocessing
p17 (p395): Appendix D Integration formulae
p18 (p397): Appendix E Convection-diffusion equations：vector-valued variables
p19 (p405): Appendix F Edge-based finite element formulation
p20 (p407): Appendix G Multigrid method
p21 (p409): Appendix H Boundary layer-inviscid flow coupling
p22 (p413): Appendix I Mass-weighted averaged turbulence transport equations
p23 (p417): Author index
p24 (p427): Subject index

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Previous ed.: 2000.
Includes bibliographical references and indexes.

The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics. * This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference

Dealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, this is the leading text and reference for engineers working with fluid dynamics in fields including aerospace engineering, vehicle design, thermal engineering and many other engineering applications. The new edition is a complete fluids text and reference in its own right. Along with its companion volumes it forms part of the indispensable Finite Element Method series.New material in this edition includes sub-grid scale modelling; artificial compressibility; full new chapters on turbulent flows, free surface flows and porous medium flows; expanded shallow water flows plus long, medium and short waves; and advances in parallel computing.

Dealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, this is the leading text and reference for engineers working with fluid dynamics in fields including aerospace engineering, vehicle design, thermal engineering and many other engineering applications. The new edition is a complete fluids text and reference in its own right. Along with its companion volumes it forms part of the indispensable Finite Element Method series. New material in this edition includes sub-grid scale modelling; a

Vol. 1
The finite element method: its basis and fundamentals ; vol. 2
The finite element method: for solid and structural mechanics ; vol. 3
The finite element method for fluid dynamics.

2024-06-13