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NONLINEAR INTERACTION OF SUBMERGED CYLINDER WITH FREE SURFACE

机译:沉入式圆柱体与自由表面的非线性相互作用

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摘要

The fully nonlinear problem on the unsteady water waves generated by submerged moving cylinder is considered. Using the analytic majorant method we prove local in time unique solvability of this problem. For the case when the dimensionless cylinder radius is small, the solution estimate obtained predicts rigorously dipole-like structure for the lowest order far field flow. The strength of dipole concentrated at the cylinder axis depends on the instantaneous wave form and fluid velocity at the free surface. Special case of the lifting accelerated cylinder starting from the rest is studied analytically in more detail.
机译:考虑了淹没式运动圆柱体产生的非定常水波的完全非线性问题。使用分析主要方法,我们证明了该问题在时间上的局部唯一可解性。对于无量纲圆柱半径较小的情况,所获得的解估计值将针对最低阶远场流严格地预测偶极状结构。集中在圆柱轴上的偶极子的强度取决于瞬时波形和自由表面上的流体速度。从其余部分开始对提升式加速缸的特殊情况进行了更详细的分析研究。

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