Incompressible Flow and the Finite Element Method, Volume 1 (Paperback)

P.M. Gresho

ISBN 10: 0471492493 / ISBN 13: 9780471492498

Published by John Wiley & Sons Inc, New York, 2000

About this Item

Paperback. This comprehensive two-volume reference covers the application of the finite element method to incompressible flows in fluid mechanics, addressing the theoretical background and the development of appropriate numerical methods applied to their solution. Volume One provides extensive coverage of the prototypical fluid mechanics equation: the advection-diffusion equation. For both this equation and the equations of principal interest - the Navier-Stokes equations (covered in detail in Volume Two) - a 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. 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 reference tool for all researchers, students and applied scientists in incompressible fluid mechanics. This comprehensive two-volume reference covers the application of the finite element method to incompressible flows in fluid mechanics, addressing the theoretical background and the development of appropriate numerical methods applied to their solution. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780471492498

Bibliographic Details

• Title: Incompressible Flow and the Finite Element Method, Volume 1 (Paperback)
• Publisher: John Wiley & Sons Inc, New York
• Publication Date: 2000
• Language: English
• ISBN 10: 0471492493
• ISBN 13: 9780471492498
• Binding: Paperback
• Edition: 1st Edition
• Condition: new

About this title

Synopsis

This comprehensive two-volume reference covers the application of the finite element method to incompressible flows in fluid mechanics, addressing the theoretical background and the development of appropriate numerical methods applied to their solution.

Volume One provides extensive coverage of the prototypical fluid mechanics equation: the advection-diffusion equation. For both this equation and the equations of principal interest - the Navier-Stokes equations (covered in detail in Volume Two) - a 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.

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 reference tool for all researchers, students and applied scientists in incompressible fluid mechanics.

About the Author

P. M. Gresho is the author of Incompressible Flow and the Finite Element Method, Volume 1: Advection-Diffusion and Isothermal Laminar Flow, published by Wiley. R. L. Sani is the author of Incompressible Flow and the Finite Element Method, Volume 1: Advection-Diffusion and Isothermal Laminar Flow, published by Wiley.