|Title:||A Green's Function for the Domain Bounded by Nonconcentric Spheres||Authors:||Jeng-Tzong Chen
|Keywords:||Green's function;nonconcentric spheres;bispherical coordinates;image method||Issue Date:||Jan-2013||Publisher:||The American Society of Mechanical Engineers||Journal Volume:||80||Journal Issue:||1||Start page/Pages:||014503||Source:||Journal of Applied Mechanics||Abstract:||
The main result is the analytical derivation of Green's function for the domain bounded by nonconcentric spheres in terms of bispherical coordinates. Both surfaces, inner and outer boundaries, are specified by the Dirichlet boundary conditions. This work can be seen as an extension study for the Green's function of eccentric annulus derived by Heyda (1959, “A Green's Function Solution for the Case of Laminar Incompressible Flow Between Non-Concentric Circular Cylinders,” J. Franklin Inst., 267, pp. 25–34). To verify the solution, a semianalytical solution using the image method and a numerical solution using the method of fundamental solutions (MFS) are utilized for comparisons. Good agreement is made.
|Appears in Collections:||河海工程學系|
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