完全流体における非線形スロッシングの有限要素解析法 : 二次元任意形状容器の解析及び振動実験との比較

概要

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This paper proposes a finite element method for nonlinear sloshing analysis of the perfect fluid in free-form containers. In this paper, the discrete governing equations of free surface flows are derived based on the variational principle. The energy functional is denoted by the volume integration of the Bernoulli's pressure equation, and by descritizing this functional previously, i.e. by applying the Ritz method, the governing equations are easily obtained. The numerical examples are presented for liquid-sloshing in a circular container. Furthermore, the sloshing vibration tests for the water tanks with variously inclined side walls are conducted, and the test results are compared with the analytical results obtained by the proposed method. Through these results, the effectiveness of the proposed method is confirmed.
2008-12-30