The Finite Element Method for Fluid Dynamics (8th Ed.)

Language: English

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· Hardback

The Finite Element Method for Fluid Dynamics, Eighth Edition offers a complete introduction on the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations. This expanded eighth edition starts by explaining the character-based split (CBS) scheme before exploring a range of other methods including SUPG/PSPG, space-time, and VMS methods. There are also new chapters on topics such as: Data-driven computational fluid dynamics, Buoyancy Driven Flows. and High-order Methods. Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), this book is the authoritative introduction of choice for graduate level students, researchers, and professional engineers.

1. Introduction to the Equations of Fluid Dynamics and the Finite Element Approximation 2. Convection-Dominated Problems: Finite Element Approximations to the Convection-Diffusion-Reaction Equation 3. Solving the Navier-Stokes Equations-algorithms 4. High-order methods 5. Incompressible Newtonian Laminar Flows 6. Incompressible Non-Newtonian Flows 7. Free Surface flows 8. Buoyancy Driven Flows 9. Compressible High-Speed Gas Flow 10. Turbulent Flows 11. Generalized Flow and Heat Transfer in Porous Media 12. Shallow-Water Problems 13. Long and Medium Waves 14. Short Waves 15. Fluid–Structure Interaction 16. Biofluid Dynamics 17. Data-driven computational fluid dynamics 18. Computer Implementation of the CBS Algorithm

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.
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.
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.
  • Provides a proven keystone reference in the library of any engineer needing to understand and apply the finite element method to fluid mechanics
  • Founded by an influential pioneer in the field and updated in this eighth edition by leading academics who worked closely with Olgierd C. Zienkiewicz
  • Features new chapters on data-driven computational fluid dynamics, higher order methods, and buoyancy driven flows