有限要素法における移流項の高度解析手法 : 双2次要素を用いた GSMAC-FEM : 流体工学, 流体機械

概要

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In this thesis, we propose the high speed and high acuraccy scheme for iscompressible fluid I analysis. The advection term in the Navier-Stokes equation has a nonlinear form and is therefore 1 difficult to analyze with accuracy. In this scheme, Navier-Stokes equation is divided into the advection term and the non-advection term, and the advection term is analyzed with a biquadratic element. The non-advection term is conventionally solved using the bilinear element. Using biquadratic element makes the calculation time for the coefficient matrices increase. In order to reduce the calculation time, the coefficient matrices are calculated with one point integration combined with the hourglass matrices, resulting in the high speed technique of GSMAC-FEM. This scheme is varified by six models such as the forced advection model in a cavity and the rotating cone model. These results showed that it could be analyzed precisely toward the two-and three-dimensional unstable flow.
一般社団法人日本機械学会の論文
2001-01-25