Hydrodynamics of a body floating in a two-layer fluid of finite depth. Part 1. Radiation problem
Hydrodynamics of a body floating in a two-layer fluid of finite depth. Part 1. Radiation problem
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DOI：
10.1007/s00773-004-0185-7
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发表时间：
2004-09
影响因子：
2.6
通讯作者：
I. Ten;M. Kashiwagi
中科院分区：
文献类型：
--
作者：
I. Ten;M. Kashiwagi
研究了一般浮体在有限深度双层流体中的线性化二维辐射问题。本文提出了一种边界积分方程法，作为一般情况，直接计算浸没在上下两层的物体湿润表面上的速度势。为此，推导了合适的时谐格林函数，并提出了一种有效的计算方法。在格林定理的基础上，从理论上推导了有限深度情况下的水动力关系，如能量守恒原理，并在数值上证实了这些关系是满足的，精度很高。实验还使用水和异石蜡油作为两种流体和路易斯型体。对附加质量、阻尼系数和产生波幅值的实测结果与计算结果进行了比较，结果吻合较好。
A linearized 2-D radiation problem was considered for a general floating body in a two-layer fluid of finite depth. A boundary integral-equation method was developed for directly computing the velocity potential on the wetted surface of a body which is immersed in both the upper and lower layers as a general case. To do this, appropriate time-harmonic Green’s functions were derived, and an efficient numerical method of evaluating those functions is proposed. Based on Green’s theorem, hydrodynamic relations such as the energy-conservation principle were derived theoretically for a case of finite depth, and we confirm that those relations are satisfied numerically with very good accuracy. Experiments were also carried out using water and isoparaffin oil as the two fluids and a Lewis-form body. Measured results for the added mass, the damping coefficient, and the amplitude of the generated waves are compared with the computed results, and a favorable agreement is found.