Boundary Integral and Singularity Methods for Linearized Viscous Flow

The book presents a coherent introduction to boundary integral, boundary element, and singularity methods for steady and unsteady flow at zero Reynolds number.

C. Pozrikidis (Author)

9780521405027, Cambridge University Press

Hardback, published 28 February 1992

272 pages
23.5 x 15.6 x 1.9 cm, 0.49 kg

'Ît can be recommended to graduate students and academic or industrial researchers in engineering, computer science and applied mathematics.' Journal of Applied Mathematics and Mechanics

This book presents a coherent introduction to boundary integral, boundary element and singularity methods for steady and unsteady flow at zero Reynolds number. The focus of the discussion is not only on the theoretical foundation, but also on the practical application and computer implementation. The text is supplemented with a number of examples and unsolved problems, many drawn from the field of particulate creeping flows. The material is selected so that the book may serve both as a reference monograph and as a textbook in a graduate course on fluid mechanics or computational fluid mechanics.

1. Preliminaries
2. Green's Functions and the Boundary Integral Equation
3. Green's Functions in domains bounded by a solid surface
4. Generalized boundary integral methods
5. Interfacial motion
6. Boundary integral methods based on the Stream Function
7. Discrete representation of a boundary
8. Numerical solution of the integral equations.

Subject Areas: Applied mathematics [PBW]