Boundary Element Method on the Basis of Oseen's Fundamental Solution

概要

論文の詳細を見る
The problem of a steady laminar 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 numbers smaller than 100. But the proposed method is not efficient for a high Reynolds number flow, because it is based on the Oseen solutions. This technique can be applied to a three dimensional flow past an arbitrary body, and expected to make up the Reynolds number region between the Oseen flow and the boundary layer approximation.
一般社団法人日本機械学会の論文