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The Finite Element Method for Fluid Dynamics
6th Edition - November 24, 2005
Authors: Olek C Zienkiewicz, Robert L. Taylor, P. Nithiarasu
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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… Read more
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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
Practicing engineers, senior students and researchers in mechanical, automotive, aeronautical and civil engineering. Key topic for applied mathematicians and engineering software developers.
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
8.5 Detached Eddy Simulation (DES) and Monotonically Integrated LES (MILES)
8.6 Direct Numerical Simulation (DNS)
8.7 Summary References
9 Flow through porous media
9.2 A generalized porous medium flow approach
9.3 Discretization procedure
9.4 Non-isothermal flows
9.5 Forced convection
9.6 Natural convection
9.7 Summary References
10 Shallow water problems
10.2 The basis of the shallow water equations
10.3 Numerical approximation
10.4 Examples of application
10.5 Drying areas
10.6 Shallow water transport
10.7 Concluding remarks References
11 Long and medium waves
11.1 Introduction and equations
11.2 Waves in closed domains - finite element models
11.3 Difficulties in modelling surface waves
11.4 Bed friction and other effects
11.5 The short-wave problem
11.6 Waves in unbounded domains (exterior surface wave problems)
11.7 Unbounded problems
11.8 Local Non-Reflecting Boundary Conditions (NRBCs)
11.9 Infinite elements
11.10 Mapped periodic (unconjugated) infinite elements x Contents
11.11 Ellipsoidal type infinite elements of Burnett and Holford
11.12 Wave envelope (or conjugated) infinite elements
11.13 Accuracy of infinite elements
11.14 Trefftz type infinite elements
11.15 Convection and wave refraction
11.16 Transient problems
11.17 Linking to exterior solutions (or DtN mapping)
11.18 Three-dimensional effects in surface waves
11.19 Concluding remarks References
12 Short waves
12.3 Errors in wave modelling
12.4 Recent developments in short wave modelling
12.5 Transient solution of electromagnetic scattering problems
12.6 Finite elements incorporating wave shapes
12.8 Spectral finite elements for waves
12.9 Discontinuous Galerkin finite elements (DGFE)
12.10 Concluding remarks References
13 Computer implementation of the CBS algorithm
13.2 The data input module
13.3 Solution module
13.4 Output module References
Appendix A Non-conservative form of Navier–Stokes equations Appendix B Self-adjoint differential equations Appendix C Postprocessing Appendix D Integration formulae Appendix E Convection–diffusion equations: vector-valued variables Appendix F Edge-based finite element formulation Appendix G Multigrid method Appendix H Boundary layer–inviscid flow coupling Appendix I Mass-weighted averaged turbulence transport equations Author Index Subject Index
No. of pages: 400
Published: November 24, 2005
eBook ISBN: 9780080455594
Olek C Zienkiewicz
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. Previous positions held by O.C. Zienkiewicz include UNESCO Professor of Numerical Methods in Engineering at the International Centre for Numerical Methods in Engineering, Barcelona, Director of the Institute for Numerical Methods in Engineering at the University of Wales, Swansea, U.K.
Affiliations and expertise
Finite element method pioneer and former UNESCO Professor of Numerical Methods in Engineering, Barcelona, Spain
Robert L. Taylor
R.L Taylor is Professor of the Graduate School at the Department of Civil and Environmental Engineering, University of California at Berkeley, USA. Awarded the Daniel C. Drucker Medal by the American Society of Mechanical Engineering in 2005, the Gauss-Newton Award and Congress Medal by the International Association for Computational Mechanics in 2002, and the Von Neumann Medal by the US Association for Computational Mechanics in 1999.
Affiliations and expertise
Emeritus Professor of Engineering, University of California, Berkeley, USA.
Professor Nithiarasu is Director of Research and Deputy Head of the College of Engineering of Swansea University, and also holds a position as Dean of Academic Leadership (Research Impact). Previously, PN served as the Head of Zienkewicz Centre for Computational Engineering for 5 years. He was awarded the Zienkiewicz silver medal from the ICE London in 2002, the ECCOMAS Young Investigator award in 2004 and the prestigious EPSRC Advanced Fellowship in 2006.
Affiliations and expertise
Professor, College of Engineering, University of Wales, Swansea, UK