基于泰勒级数展开法的船舶水动力数值预报

Numerical prediction of ship hydrodynamics based on Taylor series expansion method

为减小由大、小时间参数区域划分不明确所导致的三维时域Green函数的数值误差,在大、小时间区域交界处采用泰勒级数展开法对三维时域Green函数进行计算.基于线性叠加原理,采用脉冲响应函数法对船舶辐射问题与绕射问题进行求解.将WigleyⅠ型船作为研究算例,数值计算结果表明:本文计算的三维时域Green函数数值精度在大、小时间参数过渡区域内提高了四个数量级,水动力数值计算结果与其他文献结果及试验结果吻合较好,证明了本文所建立的水动力分析模型的可靠性.

In order to reduce the numerical error of the three-dimensional time domain Green function caused by unclear division between small time parameter and large time parameter, Taylor series expansion method was used to calculate the three-dimensional time domain Green function in the junction between small time parameter region and large time region. Based on linear superposition principle, the ship radiation problem and diffraction problem were solved by using the impulse response function method. The Wigley I hull ship was taken as a study case, and the numerical results show that the accuracy of three-dimensional time domain Green function is improved by four orders of magnitude in the junction between small time parameter region and large time region, and the hydrodynamic results of above method are in good agreement with other published results and experimental data, which proves the reliability of the hydrodynamic analysis model established in this paper.