Boundary Integral and Singularity Methods for Linearized Viscous Flow [Paperback]

The book presents a coherent introduction to boundary integral, boundary element, and singularity methods for steady and unsteady flow at zero Reynolds number.In addition to theory, this study focuses on practical application and computer implementation in a coherent introduction to boundary integrals, boundary element and singularity methods for steady and unsteady flow at zero Reynolds numbers.In addition to theory, this study focuses on practical application and computer implementation in a coherent introduction to boundary integrals, boundary element and singularity methods for steady and unsteady flow at zero Reynolds numbers.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.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. ...well written. The author is to be congratulated for the excellent presentation of rather difficult and involved methodologies. S. Bhaduri, Applied Mechanics Reviews ...a very readable and attractive book, packed with basic information and with a modern outlook on linear viscous flló†