三维移动脉动源非定常波系演变与试验验证

Unsteady Wave Evolution and Test Verification for Three-Dimensional Translating-Pulsating Source Green Function

摘要: 为探究三维移动脉动源格林函数的非定常波系特性，本文建立了一套理论分析和试验验证相结合的研究方法。基于同相分析法，推导了Bessho型三维移动脉动源格林函数远场波系的等相曲线族方程，在频域理论框架内获得了自由面上移动脉动源非定常波系的稳态形式，系统分析了环形–扇形波与环形波、扇形波与外侧楔形波以及内侧楔形波的演变规律。依托两船模在波浪中并行航行的水池拖曳试验，捕捉了典型工况下模型舷间流体的舷侧上浪现象，提出了波浪中有航速船模辐射–绕射波传播范围的估算方法。研究表明Bessho型移动脉动源格林函数的非定常波系主要包含计及航速移动效应的圆形波系和计及简谐脉动作用下的开尔文波系两大类，并通过模型舷侧上浪观测初步验证了移动脉动源远场波系传播特征的正确性。

Abstract: In order to investigate the characteristics of unsteady wave patterns for three-dimension trans-lating-pulsating source Green function, a method with the combination of theoretical analysis and test verification is proposed in present paper. By adopting stationary-phase analysis method, the parametric equations of stationary-phase curves for far-field waves of Bessho-type translat-ing-pulsating source Green function are derived. In the framework of frequency-domain theory, the steady shapes of unsteady wave patterns are obtained on the free surface. For the unsteady wave patterns such as ring-fan wave and ring wave, fan wave and outer-V wave and inner-V wave, the evolution laws of wave-pattern behavior are analyzed in detail. Based on the towing-tank test of two ship models advancing parallel in waves, wetness phenomena on the shipboard for a ship model is captured in typical operating condition and an estimation method of the propagation region of radiation-diffraction waves is given for the advancing ship in waves. The present paper demonstrates that the unsteady wave patterns of Bessho-type translating-pulsating source Green function are inclusive of two kinds: one kind is the circular wave pattern under the consideration of forward speed effect and the other kind is the Kelvin wave pattern with the harmonic pulsating effect taken into account. And the test observation of shipboard wetness verifies the correctness of far-field wave propagation for translating-pulsating source Green function primarily.