双対空間を用いたHybrid形上流化有限要素法 : 第3報,2次元移流拡散方程式による検証

概要

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We have proposed a new hybrid-streamline-upwind finite-element method, which is based on the finite analytic method developed in the field of the finite difference method, and verified that this method is valid at high Reynolds numbers for unsteady one-dimensional Burgers equation problems. In this paper, we will show that this method is valid for steady two-dimensional advection-diffusion problems. Examples demonstrate the effectiveness of this streamline-upwind method in excluding both wiggles and the spurious crosswind diffusion that afflicts some classical upwind schemes. Furthermore we achieve simplicity of formulation and high-speed calculation of the finite-element method, putting advection term and diffusion term together.
一般社団法人日本機械学会の論文
1994-10-25