The Finite Element Method for Fluid Dynamics

Auteur
R.L Taylor is a Professor of the Graduate School at the Department of Civil and Environmental Engineering, University of California, 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.

Texte du rabat
The Finite Element Method for Fluid Dynamics offers a complete introduction 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

• High-order Methods Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics is the authoritative introduction of choice for graduate level students, researchers and professional engineers.

Contenu

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