
- 584 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
The Finite Element Method for Fluid Dynamics
About this book
The Finite Element Method for Fluid Dynamics provides a comprehensive introduction to the application of the finite element method in fluid dynamics. The book begins with a useful summary of all relevant partial differential equations, progressing to the discussion of convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations.In this expanded eighth edition, the book starts by explaining the character-based split (CBS) scheme, followed by an exploration of various other methods, including SUPG/PSPG, space-time, and VMS methods. Emphasising the fundamental knowledge, mathematical, and analytical tools necessary for successful implementation of computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics stands as the authoritative introduction of choice for graduate level students, researchers, and professional engineers.- A proven keystone reference in the library for engineers seeking to grasp and implement the finite element method in fluid dynamics- Founded by a prominent pioneer in the field, this eighth edition has been updated by distinguished academics who worked closely with Olgierd C. Zienkiewicz- Includes new chapters on data-driven computational fluid dynamics and independent adaptive mesh and buoyancy driven flow chapters.
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Table of contents
- Title of Book
- Chapter 1: The equations of fluid dynamics
- Chapter 2: The finite element approximation
- Chapter 3: Convection dominated problems â finite element approximations to the convectionâdiffusionâreaction 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: Fluidâstructure interaction
- Chapter 17: Biofluid dynamics â blood flow
- Chapter 18: Data-driven methods
- Chapter 19: Computer implementation of the CBS algorithm
- Appendix A: Self-adjoint differential equations
- Appendix B: Non-conservative form of NavierâStokes equations
- Appendix C: Computing drag force and stream function
- Appendix D: Integration formulae
- Appendix E: Convectionâdiffusion equations: vector-valued variables
- Appendix F: Edge-based finite element formulation
- Appendix G: Multigrid method
- Appendix H: Boundary layerâinviscid flow coupling
- Appendix I: Mass-weighted averaged turbulence transport equations
- Appendix J: Introduction to neural networks
- Index