ABSTRACT

To deal with hydrodynamics, numerical integration of pulsating source Green’s function over a panel is very important. However, little research is focused on it. In the present paper, a semi-analytical integral expression of pulsating source over the panel is proposed. A coordinate transformation is performed and the panel is mapped into a unit rectangle. The space integral is carried out beforehand. Thus, the integral of Green’s function can be expressed as a θ-type single integral expression. Numerical results show that the present expression provides a new robust approach to obtain the integral of Green’s function over a panel in an accurate and stable manner. Based on the above method, radiation-diffraction problems of Wigley III and LNG carrier in waves are calculated, then ship motion responses versus various wave frequencies are computed. The calculated motions of ship acquired agree well with experimental data.

摘要

为了处理流体动力学，脉动源格林函数在面板上的数值积分非常重要。然而，很少有研究集中在它上面。本文提出了面板上脉动源的半解析积分表达式。执行坐标变换并将面板映射到单位矩形中。空间积分是预先进行的。因此，格林函数的积分可以表示为 θ 型单积分表达式。数值结果表明，本表达式提供了一种新的稳健方法，以准确和稳定的方式获得格林函数在面板上的积分。基于上述方法，计算了Wigley III和LNG运输船在波浪中的辐射衍射问题，然后计算了船舶运动响应与各种波浪频率的关系。