The finite element method for fluid dynamics (Q2869915)

Publisher's description: This book offers a complete introduction to 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.NEWLINENEWLINEThe character-based split (CBS) scheme is introduced and discussed in detail, followed by a thorough coverage of incompressible and compressible fluid dynamics, flows through porous media, shallow water flows, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on:NEWLINENEWLINE-- Fluid-structure interaction, including a discussion of one-dimensional and multidimensional problems.NEWLINENEWLINE-- Biofluid dynamics, covering flows throughout the human arterial system.NEWLINENEWLINEFocusing on the core knowledge, namely the mathematical and analytical tools needed for successful computational fluid dynamics (CFD), the book is the authoritative introduction of choice for graduate level students, researchers and professional engineers.NEWLINENEWLINESee the review of the 5th edition in [Zbl 0991.74004].