Boundary Integral and Singularity Methods for Linearized Viscous Flow

ISBN-13: 9780521406932 / Angielski / Miękka / 1992 / 272 str.

C. Pozrikidis; M. J. Ablowitz; S. H. Davis

Opis

The aim of this book is to bring together classical and recent developments in the particular field of Newtonian flow at low Reynolds numbers. The methods are developed from first principles, alternative formulations are compared, a variety of configurations are addressed, the proper mathematical framework is discussed in the context of functional analysis and integral-equation-theory, and procedures of numerical solution in the context of the boundary element method are introduced. The text contains a fair amount of original material pertaining, in particular, to the properties and explicit form of the Green's functions, and the theory of the integral equations that arise from boundary integral representations.

Recenzje

'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

Spis treści

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.