Incompressible Flow and the Finite Element Method: Advection-Diffusion and Isothermal Laminar Flow - Couverture rigide

Couverture rigide

ISBN 10 : 0471967890 ISBN 13 : 9780471967897

Editeur : John Wiley & Sons Ltd, 1998

Synopsis

This text deals with the applications of the finite element method to incompressible flows. Volume One addresses the theoretical background and the methods development to the solution of a wide range of incompressible flows. Volume Two due May 1997) will be practice orientated and will address the simulation of the numerical solutions of the Navier-Stoke equations via the finite element method. The two volumes can be used as self-teaching tutorials for students at graduate level as they include worked exercises and applications and sample results of computer simulations. They should also appeal to practising engineers working with advection-diffusion incompressible flow and incompressible FEM fluid mechanics.

A propos du livre

Présentation de l'éditeur

This comprehensive two–volume reference covers the application ofthe finite element method to incompressible flows in fluidmechanics, addressing the theoretical background and thedevelopment of appropriate numerical methods applied to theirsolution.

Volume One provides extensive coverage of the prototypical fluidmechanics equation: the advection–diffusion equation. For both thisequation and the equations of principal interest – theNavier–Stokes equations (covered in detail in Volume Two) – adiscussion of both the continuous and discrete equations ispresented, as well as explanations of how to properly march thetime–dependent equations using smart implicit methods. Boundary andinitial conditions, so important in applications, are carefullydescribed and discussed, including well–posedness. The importantrole played by the pressure, so confusing in the past, is carefullyexplained.

The book 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 referencetool for all researchers, students and applied scientists inincompressible fluid mechanics.

Quatrième de couverture

This comprehensive two volume reference work is devoted to theimportant details regarding the application of the finite elementmethod to incompressible flows, addressing the theoreticalbackground and the detailed development of appropriate numericalmethods applied to their solution. Volume One provides extensivecoverage of the prototypical fluid mechanics equation: theadvection–diffusion equation. In addition, for both this equationand the equations of principal interest – the Navier–Stokesequations – (covered in detail in Volume Two), a discussion of boththe continuous and discrete equations is presented. Also addressedare explanations of how to properly march the time–dependentequations using smart implicit methods. Boundary and initialconditions, so important in applications, are thoroughly describedand discussed, including well–posedness. The important role playedby the pressure, so confusing in the past, is carefully explained.Together, this two volume work explains and emphasizes consistencyin six areas:
∗ consistent mass matrix
∗ consistent pressure Poisson equation
∗ consistent penalty methods
∗ consistent normal direction
∗ consistent heat flux
∗ consistent forces
Fully indexed and referenced

Détails de l'édition

• Éditeur: John Wiley & Sons Ltd
• Date d'édition: 1998
• ISBN 10: 0471967890
• ISBN 13: 9780471967897
• Reliure: Relié
• Langue: anglais
• Nombre de pages: 1044
• Éditeur: Gresho P. M., Sani R. L.
• Coordonnées du fabricant: non disponible