渦糸近似法についてのー考察 : N-S方程式からの導出

概要

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The vortex method is one of the methods used to solve high Reynolds number flow problems of incompressible, inviscid fluids. This method has been used for various problems : vortical flows in aerodynamics, separated flow about cylindrical bodies, chaos, stability of the row of vortices in a two-dimensional flow. Mathematical research of this method has also been carried out and the convergence theorem has been established. Nevertheless, some researchers say that this method is awkward because of the appearance of the very large induced velocity and the difference, in calculated results due to the time steps, and so on. To resolve such problems, it is important at least to reduce this method from the Navier-Stokes equation directly. So in the present paper, we aim to formulate the vortex method from the Navier-Stokes equation directly, and to clarify the relation of the earlier proposed vortex methods.
一般社団法人日本機械学会の論文
1990-11-25