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Key Features
DescriptionThe 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.
The characterbased split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on:
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. 

1. Introduction to the equations of fluid dynamics and the finite element approximation 2. Convection dominated problems  finite element approximations to the convectiondiffusionreaction equation 3. The characteristicbased split (CBS) algorithm 4. Incompressible Newtonian laminar flows 5. Incompressible nonNewtonian flows 6. Free surface and buoyancy driven flows 7. Compressible highspeed gas flow 8. Turbulent flows 9. Flow through porous media 10. Shallow water problems 11. Long and medium waves 12. Short waves 13. Local conservation 14. Fluidstructure interaction 15. Biofluid dynamics 16. Microscale fluid dynamics and molecular dynamics 17. Computer implementation of the CBS algorithm Appendices 
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