渦法による数値解析の唯一性についての一考察 : 流体工学, 流体機械

概要

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The present paper treats a theoretical remark of the uniqueness of solutions in vortex methods. In the vortex method, the panel method is used to solve the Euler equations by taking account of the Kelvin theorem. However, it is an open problem whether the Kelvin theorem is necessary or not in the case where a bluff body impulsively starts in fluid at rest, because the initial flow does not have circulation. Furthermore, in three dimensional flows it is also an open problem how to use the Kelvin theorem for flows around bluff bodies. The present paper analyses two and three dimensional flows governed by the Stokes equations and shows that an additional condition such like the Kelvin theorem is necessary in two dimensional flows but in three dimensional flows it is not necessary to get a unique solution.
社団法人日本機械学会の論文
2001-01-25