The Finite Element Method for Fluid Dynamics (Google eBook)

Front Cover
Butterworth-Heinemann, Dec 8, 2005 - Mathematics - 400 pages
3 Reviews
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
* Accompanied by downloadable FEM source code
  

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Contents

Chapter 1 Introduction to the equations of fluid dynamics and the finite element approximation
1
Chapter 2 Convection dominated problems finite element approximations to the convectiondiffusionreaction equation
28
Chapter 3 The characteristicbased split CBS algorithm A general procedure for compressible and incompressible flow
79
Chapter 4 Incompressible Newtonian laminar flows
110
Chapter 5 Incompressible nonNewtonian flows
141
Chapter 6 Free surface and buoyancy driven flows
170
Chapter 7 Compressible highspeed gas flow
197
Chapter 8 Turbulent flows
248
Appendix A Nonconservative form of NavierStokes equations
389
Appendix B Selfadjoint differential equations
391
Appendix C Postprocessing
392
Appendix D Integration formulae
395
vectorvalued variables
397
Appendix F Edgebased finite element formulation
405
Appendix G Multigrid method
407
Appendix H Boundary layerinviscid flow coupling
409

Chapter 9 Generalized flow through porous media
274
Chapter 10 Shallow water problems
292
Chapter 11 Long and medium waves
317
Chapter 12 Shortwaves
349
Chapter 13 Computer implementation of the CBS algorithm
382
Appendix I Massweighted averaged turbulence transport equations
413
Author index
417
Subject index
427
Color Plate Section
437
Copyright

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