The Finite Element Method for Fluid Dynamics

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Elsevier, Dec 8, 2005 - Science - 400 pages
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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

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

Chapter 9 Generalized flow through porous media
Chapter 10 Shallow water problems
Chapter 11 Long and medium waves
Chapter 12 Shortwaves
Chapter 13 Computer implementation of the CBS algorithm
Appendix I Massweighted averaged turbulence transport equations
Author index
Subject index
Color Plate Section

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About the author (2005)

O. C. Zienkiewicz was one of the early pioneers of the finite element method and is internationally recognized as a leading figure in its development and wide-ranging application. He was awarded numerous honorary degrees, medals and awards over his career, including the Royal Medal of the Royal Society and Commander of the British Empire (CBE). He was a founding author of The Finite Element Method books and developed them through six editions over 40 years up to his death in 2009.

R. L. Taylor is Emeritus Professor of Engineering and Professor in the Graduate School, Department of Civil and Environmental Engineering at the University of California, Berkeley.

Dr. P. Nithiarasu, Senior Lecturer at the School of Engineering, University of Wales Swansea, has over ten years of experience in the finite element based computational fluid dynamics research. He moved to Swansea in 1996 after completing his PhD research at IIT Madras. He was awarded Zienkiewicz silver medal and prize of the Institution of Civil Engineers, UK in 2002. In 2004 he was selected to receive the European Community on Computational Methods in Applied Sciences (ECCOMAS) award for young scientists in computational engineering sciences. Dr Nithiarasu is the author of several articles in the area of fluid dynamics, porous medium flows and the finite element method.

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