均匀流中等源强相同浸没深度点源自由面波高数值模拟

Numerical Simulation of Free Surface Wave Elevations of Point Sources With the Same Source Intensity and Immersion Depth in Uniform Flow

该文基于带耗散源Green函数的去奇异化数值方法,将正则波积分进行扩展,导出了多重点源带耗散自由表面波高公式.数值模拟多重点源不同排列下自由面波高波形及等高线的变化规律,验证了多重点源带耗散源Green函数的去奇异化数值方法的正确性和有效性.数值结果表明:双点源纵向排列,当增加点源位于单点源波峰时,双点源波峰波谷相互叠加;当增加点源位于单点源波谷时,双点源波峰波谷相互干扰,波振幅迅速减小,在自由面水平线上下缓慢震荡.多重点源纵向排列,点源位于不同位置,波高出现类似的周期性变化现象.多重点源横向排列,波面明显改变,自由表面波以横波形式向后扩散.

Based on the desingularization numerical method of dissipative Green’s function,the regular wave integral was extended to derive the multi⁃point source dissipative free surface wave.The variation regularity of free surface wave elevations,profiles and contour lines was simulated numerically with multi⁃point sources under different arrangements.The proposed nu⁃merical method was verified to be correct and effective.The numerical results show that,with double point sources arranged longitudinally,the wave crests and troughs of the 2 sources will superpose mutually when the added point source is located near the wave crest of the single point source;the wave crests and troughs of the 2 sources will interfere mutually when the add⁃ed point source is located near the wave trough of the single point source,and the wave ampli⁃tude will decrease rapidly and oscillate slowly up and down the horizontal line of the free sur⁃face.With multi⁃point sources arranged longitudinally,the wave elevation will undergo the simi⁃lar periodic changes when the point sources are located at different positions.With multi⁃point sources arranged transversely,the wave surface changes obviously,and the free surface wave diffuses backward in the form of transverse wave.