Philip M. Gresho, Robert L. Sani

Incompressible Flow and the Finite Element Method, 2 Volume Set

• Broschiertes Buch

Produktbeschreibung

This comprehensive reference work covers all the important details regarding the application of the finite element method to incompressible flows. It addresses the theoretical background and the detailed development of appropriate numerical methods applied to the solution of a wide range of incompressible flows, beginning with extensive coverage of the advection-diffusion equation in volume one. For both this equation and the equations of principal interest - the Navier-Stokes equations, covered in detail in volume two - detailed discussion of both the continuous and discrete equations is presented, as well as explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are carefully described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained.
Together, this two volume work explains and emphasizes consistency in six areas:
* consistent mass matrix
* consistent pressure Poisson equation
* consistent penalty methods
* consistent normal direction
* consistent heat flux
* consistent forces
Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics.

Produktdetails

• Verlag: Wiley & Sons
• 1. Auflage
• Seitenzahl: 1112
• Erscheinungstermin: 26. Juli 2000
• Englisch
• Abmessung: 247mm x 175mm x 55mm
• Gewicht: 1737g
• ISBN-13: 9780471492689
• ISBN-10: 047149268X
• Artikelnr.: 21703569

Autorenporträt

P. M. Gresho is the author of Incompressible Flow and the Finite Element Method, 2 Volume Set, published by Wiley. R. L. Sani is the author of Incompressible Flow and the Finite Element Method, 2 Volume Set, published by Wiley.

Inhaltsangabe

1. Glossary of Abbreviations 2. Preface and Introduction 3. The
Navier-Stokes Equations Notational Introduction The Continuum Equations
Alternate Forms of the Viscous Term Alternate Forms of the Non-Linear Term
Derived Equations Alternate Statements of the NS Equations Special Cases of
Interest Boundary Conditions Initial Conditions (and Well-Posedness)
Interim Summary Global Conservation Laws Weak Form of the PDEhod
Variational Principles for Potential and Stokes Flow Solution Methods for
the Semi_Discretized Time-Dependent (and Steady) Equations Aliasing and
Aliasing Instability, Linear and Non-Linear A New Look at Two Old Finite
Difference Methods Numerical Example Closure: Some Additional Remarks on
the Pressure 4. Derived Quantities Introduction Two Dimensions Three
Dimensions Appendix 1 Some Element Matrix Appendix 2 Further Comparison of
Finite Elements and Finite Volumes Appendix 3 Projections, Orthagonal and
Not and Projection Methods References Author Index Subject Index

Rezensionen

"The book covers the subject in a complete and excellent way, and is most recommended to everybody in this research area. Moreover, the book is written in an interesting, well-organized and very readable way, and approaches the various subjects both by "looking from above" and by going into the details. Sometimes, it also touches on some slightly controversial subjects, which adds flaour to the book." --Dan Givoli, Editor, IACMM Newsletter