Boundary element method on the basis of Oseen's fundamental solution.

Abstract

The problem of the steady laminer flow past an arbitrary body is formulated using the boundary element method. First, surface integral equation is derived for the Oseen flow, and then, extended to the Navier-Stokes equations. In the latter case, the repetition of solving the surface integral equation is needed. The nonlinear terms in the Navier-Stokes equations are regarded as the Oseenlets distributed in the flow field, and surface stresses are obtained numerically. As an example, the flow past a two dimensional flat plate is solved. The numerical results are coincident with the experimental data for the Reynolds number less than 100. But the proposed method is not efficient for high Reynolds number flow, because it is based on the Oseen solutions. This technique can be applied to the three dimensional flow past an arbitrary body, and expected to make up the Reynolds number region between the Oseen flow and boundary layer approximation.