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Item Details
| Title:
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HANDBOOK OF NUMERICAL ANALYSIS, VOLUME IX
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| By: |
R. Glowinski, P. G. Ciarlet (Editor), J. L. Lions (Editor) |
| Format: |
Hardback |
| List price:
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£126.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0444512241 |
| ISBN 13: |
9780444512246 |
| Publisher: |
ELSEVIER SCIENCE & TECHNOLOGY |
| Pages: |
1080 |
| Description: |
Suitable for graduate students in mathematics, sciences and engineering and technology, this volume covers advanced numerical methods for mathematical analysis of fluids and fluid behaviour. |
| Synopsis: |
This book-size article is dedicated to the numerical simulation of unsteady incompressible viscous flow modelled by the Navier-Stokes equations, or by non-Newtonian variants of them. In order to achieve this goal a methodology has been developed based on four key tools. Time discretization by operator-splitting schemes such as Peaceman-Rachford's, Douglas Rachford's, Marchuk-Yanenko's, Strang's symmetrized, and the so-called "theta-scheme" introduced by the author in the mid-1980s. Projection methods (in L2 or H1) for the treatment of the incompressibility condition div u = 0. Treatment of the advection by: either a centered scheme leading to linear or nonlinear advection-diffusion problems solved by least squares/conjugate gradient algorithms, or to a linear wave-like equation well suited to finite element-based solution methods. Space approximation by finite element methods such as Hood-Taylor and Bercovier-Pironneau, which are relatively easy to implement.In addition to the above topics the article contains detailed discussions of conjugate gradient algorithms, least-squares methods for boundary-value problems which are not equivalent to problems of the calculus of variations, Uzawa-type algorithms for the solution of saddle-point problems, embedding/fictitious domain methods for the solution of elliptic and parabolic problems. In fact many computational methods discussed in this article also apply to non-CFD problems although they were mostly designed for the solution of flow problems. Among the topics covered are: the direct numerical simulation of particulate flow; computational methods for flow control; splitting methods for viso-plastic flow a la Bingham; and more. It should also be mentioned that most methods discussed in this article are illustrated by the results of numerical experiments, including the simulation of three-dimensional flow. Due to their modularity the methods described in this article are relatively easy to implement - as is demonstrated by the fact that several practitioners in various institutions have been able to use them ab initio for the solution of complicated flow (and other) problems. |
| Illustrations: |
Illustrations |
| Publication: |
UK |
| Imprint: |
Elsevier Science Ltd |
| Returns: |
Non-returnable |
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Ramadan and Eid al-Fitr
A celebratory, inclusive and educational exploration of Ramadan and Eid al-Fitr for both children that celebrate and children who want to understand and appreciate their peers who do.
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