浅水域中两船交错运行时的非定常波浪干涉

本文以Green-Naghdi（G-N）方程为基础，采用波动方程／有限元法计算两艘船舶在浅水域交错运动时的非定常波浪干涉特性。把运动船舶对水面的扰动作为移动压强直接包含在Green—Naghdi方程里，以描述运动船体和水面的相互作用。本文以S60 CB=0．6船为算例，给出在两艘船交错运动时，自由面波高，波浪阻力及横向力的变化特征。计算结果发现，当两艘船船首接近时，波浪阻力增加。接着，两艘船船身相向平行航行时，阻力减少。两艘船船尾相遇时，波浪阻力又增加。最后随着两船的远离，波浪阻力趋于正常。两船之间的侧向力呈现相似的变化规律。两船先承受横向排斥力，接着相互吸引，尔后又排斥。最后两船远离，横向力消失。计算结果表明，在两船间距较小和船速较大时，两船间的吸引力相当显著，应该予以充分重视。

Interaction of shallow water waves generated by two parallel ships moving in opposite directions

This paper employs Green-Naghdi equation and wave equation/finite element method to study the wave interaction generated by two ships moving in shallow water. To investigate the interaction of moving ships and the free surface the ship body is considered as a moving pressure disturbance on free surface and incorporated into Green-Naghdi equation. The numerical examples of Series 60 ships are presented as one ship moves by another in reverse directions. Three-dimensional surface profile, wave resistance and transverse forces are given. The numerical results indicate that the wave resistance increases first when two ship bows are approaching closer, then the wave resistance decreases when two ship bodies are in parallel one passing by the another in opposite directions. The wave resistance rises again when two ship sterns are close to each other. Finally the wave resistance gradually decreases to normal value as two ships move apart far away.