変数変換を用いた有限要素法による非圧縮性粘性流の非定常解析

概要

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A storage requirement of the finite-element method (FEM), which is a result of using un-structured meshes, can be considerably reduced by using iterative solvers. However, the acceleration of the convergence is still an important and urgent problem in spite of currently available vector processors. In this paper, the convergence acceleration for solving the time-dependent incompressible viscous flow by using the iterative solver is given. The variable transformation is applied to the finite-element discretized equations in order to obtain the diagonal-dominant equation system. The usual framework of the primitive variables (velocity and pressure) is transformed into that of newly introduced variables : rotational velocity and velocity potential. The effectiveness of the present technique is demonstrated through the lid-driven cavity flow and the flow past a cylinder.
一般社団法人日本機械学会の論文
1990-09-25