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Full Description
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.
The character-based 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:
Fluid-structure interaction, including discussion of one-dimensional and multidimensional problems
Biofluid dynamics, covering flow throughout the human arterial system
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.
Contents
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
