The Finite Element Method for Fluid Dynamics, Eight 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