The Finite Element Method for Fluid Dynamics

✍ Scribed by O. C. Zienkiewicz, R. L. Taylor and P. Nithiarasu (Auth.)

• Publisher: Butterworth-Heinemann
• Year: 2013
• Leaves: 553
• Edition: 7
• Category: Library

✦ Synopsis

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.

• A proven keystone reference in the library of any engineer needing to understand and apply the finite element method to fluid mechanics.
• Founded by an influential pioneer in the field and updated in this seventh edition by leading academics who worked closely with Olgierd C. Zienkiewicz.
• Features new chapters on fluid-structure interaction and biofluid dynamics, including coverage of one-dimensional flow in flexible pipes and challenges in modeling systemic arterial circulation.

✦ Table of Contents

Content:
The Finite Element Method for Fluid Dynamics, Page i
Author Biography, Page ii
The Finite Element Method for Fluid Dynamics, Page iii
Copyright, Page iv
Dedication, Page v
List of Figures, Pages xvii-xxxi
List of Tables, Page xxxiii
Preface, Pages xxxv-xxxvi
Chapter 1 - Introduction to the Equations of Fluid Dynamics and the Finite Element Approximation, Pages 1-29
Chapter 2 - Convection-Dominated Problems: Finite Element Approximations to the Convection-Diffusion-Reaction Equation, Pages 31-85
Chapter 3 - The Characteristic-Based Split (CBS) Algorithm: A General Procedure for Compressible and Incompressible Flow, Pages 87-125
Chapter 4 - Incompressible Newtonian Laminar Flows, Pages 127-161
Chapter 5 - Incompressible Non-Newtonian Flows, Pages 163-194
Chapter 6 - Free Surface and Buoyancy Driven Flows, Pages 195-224
Chapter 7 - Compressible High-Speed Gas Flow, Pages 225-281
Chapter 8 - Turbulent Flows, Pages 283-308
Chapter 9 - Generalized Flow and Heat Transfer in Porous Media, Pages 309-326
Chapter 10 - Shallow-Water Problems, Pages 327-353
Chapter 11 - Long and Medium Waves, Pages 355-388
Chapter 12 - Short Waves, Pages 389-421
Chapter 13 - Fluid–Structure Interaction, Pages 423-449
Chapter 14 - Biofluid Dynamics, Pages 451-484
Chapter 15 - Computer Implementation of the CBS Algorithm, Pages 485-491
Appendix A - Self-Adjoint Differential Equations, Page 493
Appendix B - Nonconservative Form of Navier-Stokes Equations, Pages 495-496
Appendix C - Computing the Drag Force and Stream Function, Pages 497-498
Appendix D - Convection-Diffusion Equations: Vector-Valued Variables, Pages 499-507
Appendix E - Integration Formulae, Pages 509-510
Appendix F - Edge-Based Finite Element Formulation, Pages 511-513
Appendix G - Boundary Layer–Inviscid Flow Coupling, Pages 515-518
Appendix H - Multigrid Method, Pages 519-520
Appendix I - Mass-Weighted Averaged Turbulence Transport Equations, Pages 521-523
Author Index, Pages 525-537
Subject Index, Pages 539-544

✦ Subjects

Механика;Механика жидкостей и газов;Гидрогазодинамика;