上流化離散化ナブラ演算子の混合要素化

概要

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In this paper, we have proposed the hybrid streamline-upwind finite-element method using the discrete del operator for the case of mixed elements, which has already been described for the case of a hexa element in the previous paper. Generally speaking, it is the demerit of the finite-element method that it tapes much time to construct computational grids. Therefore it is important to extend the theory to the mixed-element case in order to save time in constructing computational grids in the complex computational area. The main content of this paper is as follows. First, we define the streamline-upwind shape function of each element using a solution of a steady advection-diffusion equation Second, we have proposed the discrete del operator for the mixed-element method, which is defined as an element average of the gradient of the shape function in the discrete space.
一般社団法人日本機械学会の論文
1996-07-25