Beschreibung:
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.
1. Introduction to the Equations of Fluid Dynamics and the Finite Element Approximation2. Convection-Dominated Problems: Finite Element Approximations to the Convection-Diffusion-Reaction Equation3. The Characteristic-Based Split (CBS) Algorithm: A General Procedure for Compressible and Incompressible Flow4. Incompressible Newtonian Laminar Flows5. Incompressible Non-Newtonian Flows6. Free Surface and Buoyancy Driven Flows7. Compressible High-Speed Gas Flow8. Turbulent Flows9. Generalized Flow and Heat Transfer in Porous Media10. Shallow-Water Problems11. Long and Medium Waves12. Short Waves13. Fluid-Structure Interaction14. Biofluid Dynamics15. Computer Implementation of the CBS Algorithm