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.…mehr
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.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Professor R.L. Taylor has more than 60 years of experience in the modelling and simulation of structures and solid continua including eighteen years in industry. He is Professor of the Graduate School and the Emeritus T.Y. and Margaret Lin Professor of Engineering at the University of California, Berkeley and also Corporate Fellow at Dassault Systèmes Americas Corp. in Johnston, Rhode Island. In 1991 he was elected to membership in the US National Academy of Engineering in recognition of his educational and research contributions to the field of computational mechanics. Professor Taylor is a Fellow of the US Association for Computational Mechanics - USACM (1996) and a Fellow of the International Association of Computational Mechanics - IACM (1998). He has received numerous awards including the Berkeley Citation, the highest honour awarded by the University of California, Berkeley, the USACM John von Neumann Medal, the IACM Gauss-Newton Congress Medal and a Dr.-Ingenieur ehrenhalber awarded by the Technical University of Hannover, Germany. Professor Taylor has written several computer programs for finite element analysis of structural and non-structural systems, one of which, FEAP, is used world-wide in education and research environments. A personal version, FEAPpv, available on GitHub, is incorporated into this book.
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
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
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