时域Rankine源法求解有限水深船舶在规则波中的水底压力变化

应用势流理论中的Rankine源面元法和时域步进法，求解了有限水深船舶在规则波中运动的水底压力变化。将速度势分解成基本势、局部势和记忆势，以叠模解作为基本势对自由表面条件和物面条件进行了线性化，通过在水底布置面元来满足水底条件。利用研制的水底压力-水面波浪测量系统，测量了不同入射波船模表面波形与水底压力的时历曲线，理论计算与实验结果符合较好，验证了自编程序的正确性。通过对比二者的等高线图发现，水底压力与表面波形的峰谷有较好的一致性，并且压力较波形更为平滑。

Calculation of bottom pressure variation when ship sailing in regular waves in finite water depth by time domain Rankine source method

Applying Rankine source panel method in potential flow theory and time domain step method,the bottom pressure variation when ship sailing in regular waves in finite water depth was solved.The velocity potential is decomposed to three parts:the basis flow,local flow and memory flow.The free surface and body conditions were linearized by double-body basis flow.The bottom condition was satisfied by discretizing the panels at bottom.The time domain curve of surface wave and bottom pressure of ship with different incident waves were measured by the developed measurement system.The accuracy of program was validated by comparing the calculated with experimental results.By contrasting the contour figure of surface wave and bottom pressure,the bottom presssure varies in a good agreement with surface wave,and more smoother than it.