集中系モデルによる非線形浅水波の解析（第1報解析モデルの提案とその妥当性の検討）

概要

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A waveform of a water surface caused by water sloshing in a tank often changes because of nonlinear effect of fluid. In the case of a small water depth, shallow water wave theory can be applied to this phenomenon. When Tsunami propagates on a sloping beach, soliton wave is generated because of nonlinear effect of fluid. This Tsunami phenomenon also can be evaluated based on shallow water wave theory. The purpose of this study is to establish a practical analytical model to analyze these phenomena. This model consists of masses, connecting nonlinear springs, connecting dampers, base support dampers, and base support springs. The characteristic of connecting nonlinear spring is derived from the gravitational pressure, and the base support damper and the base support spring are derived from the shear stress on a bottom. Water waves generated in a rectangle tank, on a sloping beach are analyzed numerically by using the proposed model in order to confirm the validity of the model. All numerical computational results agree very well with the experimental results. Especially, the phenomena that the distorted waves are generated by the nonlinear effect of fluid are numerically reproduced. Therefore, it is concluded that the proposed model is valid for the numerical analysis of nonlinear shallow water wave problem.