Indirect BEM formulation for stokes flow mixed boundary value problems

摘要

In this article, we develop a novel indirect second kind integral equation formulation for the solution of the mixed boundary value problem for Stokes flows in a multiple-connected domain, where at the exterior surface the fluid surface traction is given (boundary condition of the second kind), and at the interior surfaces the fluid velocity is specified (boundary condition of the first kind). The theoretical background to the proposed technique is explained in detail, including mathematical proofs of existence and uniqueness of solution. Numerical results of test examples are included to validate the formulation.