The Finite Element Method for Fluid Dynamics

Name: The Finite Element Method for Fluid Dynamics
Price: 155 USD
Availability: InStock
ISBN: 9780323958868

by R. L. Taylor, P. Nithiarasu

8th Edition

Publisher: Butterworth-Heinemann

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Mechanical Engineering

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Book Details

Print ISBN	9780323958868
eText ISBN	9780323958875
Publisher	Butterworth-Heinemann
Publishing Year	2024
Edition	8th Edition
Language	English
Pages	596

The 8th Edition of *The Finite Element Method for Fluid Dynamics* by R. L. Taylor and P. Nithiarasu delivers comprehensive instruction on numerical solutions of fluid dynamics in a textbook format. Formulated for graduate students, academic researchers, and professional mechanical or aerospace engineers, this volume establishes relevant partial differential equations while detailing convection stabilization procedures applied to steady and transient state equations.

Theoretical developments emphasize stabilized numerical frameworks, incorporating stream-line upwind Petrov-Galerkin (SUPG), pressure-stabilizing Petrov-Galerkin (PSPG), space-time, and Variational Multiscale (VMS) formulations. The core exposition covers incompressible Newtonian laminar flows, incompressible non-Newtonian fluid behaviors, free surface boundary dynamics, shallow-water problems, and turbulent flows.

This eighth edition expands its computational scope by introducing new chapters on data-driven computational fluid dynamics and independent adaptive mesh refinement. Published by Butterworth-Heinemann, the 596-page volume provides structured practice in formulating stabilized finite element approximations for complex fluid modeling challenges.

Chapter 1: The equations of fluid dynamics
Chapter 2: The finite element approximation
Chapter 3: Convection dominated problems – finite element approximations to the convection–diffusion–reaction equation
Chapter 4: Fractional step methods: the characteristic-based split (CBS) algorithm for compressible and incompressible flows
Chapter 5: Incompressible Newtonian laminar flows
Chapter 6: Incompressible non-Newtonian flows
Chapter 7: Free surface flows
Chapter 8: Buoyancy driven flows
Chapter 9: Compressible high-speed gas flow
Chapter 10: Adaptive mesh refinement
Chapter 11: Turbulent flows
Chapter 12: Flow and heat transport in porous media
Chapter 13: Shallow-water problems
Chapter 14: Long and medium waves
Chapter 15: Short waves
Chapter 16: Fluid–structure interaction
Chapter 17: Biofluid dynamics – blood flow
Chapter 18: Data-driven methods
Chapter 19: Computer implementation of the CBS algorithm
Chapter Appendix A: Self-adjoint differential equations
Chapter Appendix B: Non-conservative form of Navier–Stokes equations
Chapter Appendix C: Computing drag force and stream function
Chapter Appendix D: Convection–diffusion equations: vector-valued variables
Chapter Appendix E: Integration formulae
Chapter Appendix F: Edge-based finite element formulation
Chapter Appendix G: Boundary layer–inviscid flow coupling
Chapter Appendix H: Multigrid method
Chapter Appendix I: Mass-weighted averaged turbulence transport equations
Chapter Appendix J: Introduction to neural networks