The Finite Element Method for Fluid Dynamics ( 6 )

Publication series :6

Author: Zienkiewicz   Olek C;Taylor   Robert L;Nithiarasu   P.  

Publisher: Elsevier Science‎

Publication year: 2005

E-ISBN: 9780080455594

P-ISBN(Paperback): 9780750663229

P-ISBN(Hardback):  9780750663229

Subject: TB115 Application of Computational Mathematics

Language: ENG

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Description

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.

  • A complete, stand-alone reference on fluid mechanics applications of the FEM for mechanical, aeronautical, automotive, marine, chemical and civil engineers.
  • Extensive new coverage of turbulent flow and free surface treatments

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 8

Contents

pp.:  8 – 12

Preface

pp.:  12 – 14

Acknowledgements

pp.:  14 – 16

Chapter 2. Convection dominated problems– finite element approximations to the convection–diffusion-reaction equation

pp.:  43 – 94

Chapter 3. The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow

pp.:  94 – 125

Chapter 4. Incompressible Newtonian laminar flows

pp.:  125 – 156

Chapter 5. Incompressible non-Newtonian flows

pp.:  156 – 185

Chapter 6. Free surface and buoyancy driven flows

pp.:  185 – 212

Chapter 7. Compressible high-speed gas flow

pp.:  212 – 263

Chapter 8. Turbulent flows

pp.:  263 – 289

Chapter 9. Generalized flow through porous media

pp.:  289 – 307

Chapter 10. Shallow water problems

pp.:  307 – 332

Chapter 11. Long and medium waves

pp.:  332 – 364

Chapter 12. Shortwaves

pp.:  364 – 397

Chapter 13. Computer implementation of the CBS algorithm

pp.:  397 – 404

Appendix A. Non-conservative form of Navier–Stokes equations

pp.:  404 – 406

Appendix B. Self-adjoint differential equations

pp.:  406 – 407

Appendix C. Postprocessing

pp.:  407 – 410

Appendix D. Integration formulae

pp.:  410 – 412

Appendix E. Convection-diffusion equations: vector-valued variables

pp.:  412 – 420

Appendix F. Edge-based finite element formulation

pp.:  420 – 422

Appendix G. Multigrid method

pp.:  422 – 424

Appendix H. Boundary layer–inviscid flow coupling

pp.:  424 – 428

Appendix I. Mass-weighted averaged turbulence transport equations

pp.:  428 – 432

Author index

pp.:  432 – 442

Subject index

pp.:  442 – 452

Color Plate Section

pp.:  452 – 458

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