R L Taylor, P. Nithiarasu

The Finite Element Method for Fluid Dynamics

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Elsevier Science
• 8th edition
• Seitenzahl: 596
• Erscheinungstermin: 2. Dezember 2024
• Englisch
• ISBN-13: 9780323958868
• ISBN-10: 0323958869
• Artikelnr.: 69828781

Autorenporträt

R.L Taylor is a Professor of the Graduate School at the Department of Civil and Environmental Engineering, University of California, Berkeley, USA. Awarded the Daniel C. Drucker Medal by the American Society of Mechanical Engineering in 2005, the Gauss-Newton Award and Congress Medal by the International Association for Computational Mechanics in 2002, and the Von Neumann Medal by the US Association for Computational Mechanics in 1999.

Inhaltsangabe

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