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Boundary integral equation method for some Stokes problems
Author(s) -
Tözeren Hüsnü
Publication year - 1984
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650040205
Subject(s) - mathematics , mathematical analysis , integral equation , boundary value problem , boundary (topology) , variable (mathematics) , singular boundary method , electric field integral equation , stokes flow , mixed boundary condition , matrix (chemical analysis) , boundary element method , geometry , physics , finite element method , flow (mathematics) , thermodynamics , materials science , composite material
The boundary integral equation method is a numerical technique extensively applied in the solution of boundary value problems from many different engineering fields. The starting point of the method is the formulation of an integral equation which gives the variable at any point in terms of single and double layer potentials whose densities are the values of the variable and its derivatives on the boundary. The method consists of the numerical solution of this integral equation when the field point is taken to lie on the boundary. The present paper extends the formulation of the method to Stokes flows of a collection of particles in infinite circular cylinders. This is achieved by developing matrix Green's functions for Stokes flows in cylindrical boundaries. The results are found to be in good agreement with the results of Wang and Skalak 1 and Tözeren. 3