The finite element method for fluid dynamics

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 desig...

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Bibliographic Details
Main Author: Zienkiewicz, O. C.
Other Authors: Taylor, Robert L. 1934-, Nithiarasu, Perumal.
Format: eBook
Language: English
Published: Amsterdam ; Boston : Elsevier Butterworth-Heinemann, 2005.
Edition: 6th ed.
Subjects:
ISBN: 9780080455594
008045559X
9780750663229
0750663227
Physical Description: 1 online resource (xii, 435 pages) : illustrations

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Table of contents

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100 1 |a Zienkiewicz, O. C. 
245 1 4 |a The finite element method for fluid dynamics /  |c O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu. 
250 |a 6th ed. 
260 |a Amsterdam ;  |a Boston :  |b Elsevier Butterworth-Heinemann,  |c 2005. 
300 |a 1 online resource (xii, 435 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
500 |a Previous edition: 2000. 
500 |a "In the present edition we retain the three volume format of the fifth edition but have decided not to pursue the course of having three contiguous volumes -- rather we treat the whole work as an assembly of three separate works, each one capable of being used without the others ... The first volume is renamed The Finite Element Method: Its Basis and Foundamentals ... In [the second] volume we consider more advanced problems in solid and structural mechanics while in a third volume we consider applications in fluid dynamics"--Preface 
504 |a Includes bibliographical references and indexes. 
505 0 |a Cover -- Contents -- Preface -- Acknowledgements -- 1 Introduction to the equations of fluid dynamics and the finite element approximation -- 1.1 General remarks and classification of fluid dynamics problems discussed in this book -- 1.2 The governing equations of fluid dynamics -- 1.3 Inviscid, incompressible flow -- 1.4 Incompressible (or nearly incompressible) flows -- 1.5 Numerical solutions: weak forms, weighted residual and finite element approximation -- 1.6 Concluding remarks -- References -- 2 Convection dominated problems -- finite element approximations to the convection-diffusion-reaction equation -- 2.1 Introduction -- 2.2 The steady-state problem in one dimension -- 2.3 The steady-state problem in two (or three) dimensions -- 2.4 Steady state -- concluding remarks -- 2.5 Transients -- introductory remarks -- 2.6 Characteristic-based methods -- 2.7 Taylor -- Galerkin procedures for scalar variables -- 2.8 Steady-state condition -- 2.9 Non-linear waves and shocks -- 2.10 Treatment of pure convection -- 2.11 Boundary conditions for convection -- diffusion -- 2.12 Summary and concluding remarks -- References -- 3 The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow -- 3.1 Introduction -- 3.2 Non-dimensional form of the governing equations -- 3.3 Characteristic-based split (CBS) algorithm -- 3.4 Explicit, semi-implicit and nearly implicit forms -- 3.5 Artificial compressibility and dual time stepping -- 3.6 'Circumvention' of the Babu ka -- Brezzi (BB) restrictions -- 3.7 A single-step version -- 3.8 Boundary conditions -- 3.9 The performance of two-step and one-step algorithms on an inviscid problem -- 3.10 Concluding remarks -- References -- 4 Incompressible Newtonian laminar flows -- 4.1 Introduction and the basic equations -- 4.2 Use of the CBS algorithm for incompressible flows -- 4.3 Adaptive mesh refinement -- 4.4 Adaptive mesh generation for transient problems -- 4.5 Slow flows -- mixed and penalty formulations -- 4.6 Concluding remarks -- References -- 5 Incompressible non-Newtonian flows -- 5.1 Introduction -- 5.2 Non-Newtonian flows -- metal and polymer forming -- 5.3 Viscoelastic flows -- 5.4 Direct displacement approach to transient metal forming -- 5.5 Concluding remarks -- References -- 6 Free surface and buoyancy driven flows -- 6.1 Introduction -- 6.2 Free surface flows -- 6.3 Buoyancy driven flows -- 6.4 Concluding remarks -- References -- 7 Compressible high-speed gas flow -- 7.1 Introduction -- 7.2 The governing equations -- 7.3 Boundary conditions -- subsonic and supersonic flow -- 7.4 Numerical approximations and the CBS algorithm -- 7.5 Shock capture -- 7.6 Variable smoothing -- 7.7 Some preliminary examples for the Euler equation -- 7.8 Adaptive refinement and shock capture in Euler problems -- tidtid6389. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a 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 sca. 
590 |a Knovel  |b Knovel (All titles) 
650 0 |a Finite element method. 
650 0 |a Mechanics, Applied. 
650 0 |a Fluid dynamics. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
700 1 |a Taylor, Robert L.  |q (Robert Leroy),  |d 1934-  |1 https://id.oclc.org/worldcat/entity/E39PCjyh39hqXDGXvhwgyHyw4q 
700 1 |a Nithiarasu, Perumal. 
700 1 |a Zienkiewicz, O. C.  |t Finite element method: its basis and fundamentals. 
700 1 |a Zienkiewicz, O. C.  |t Finite element method for solid and structural mechanics. 
776 0 8 |i Print version:  |a Zienkiewicz, O.C.  |t Finite element method for fluid dynamics.  |b 6th ed.  |d Amsterdam ; Boston : Elsevier Butterworth-Heinemann, 2005  |z 0750663227  |w (OCoLC)63266990 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://app.knovel.com/hotlink/toc/id:kpFEMFDE04/finite-element-method?kpromoter=marc  |y Full text