Boundary Integral and Singularity Methods for Linearized Viscous Flow

C. Pozrikidis, Cambridge University Press, New York, 1992

This is another book on linear problem. I have a “better” understanding about Green’s function. “In mathematics, a Green’s function is a type of function used to solve inhomogeneous differential equations subject to boundary conditions.” (from Wikipedia). This is what I obtained after reading the book. I used to think the Green’s function is a strange function that I could not remember always. Now, it seems that a Green’s function is barely a name of a function introduced in the specific solving procedure of the linear boundary value problem.

Singularity methods seems to be the singularity image method I learned many years ago in university.

The original objective to read the book is to find out the analytical solution of a Stokes flow around a prolate spheroid, and compare the solution with my numerical simulation. Finally, I found the expected solution, but doubt the correctness of the expression. Some different references are required to tackle the issue. 

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~ by zkwzju on 2010/03/21.

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