基于泰勒级数展开法的船舶水动力数值预报

胡伟; 惠宁; 吴志飞; 张腾; 周波

doi:10.16411/j.cnki.issn1006-7736.2021.02.006

大连海事大学学报 >

2021 , Vol. 47 >Issue 2: 45 - 55

DOI: https://doi.org/10.16411/j.cnki.issn1006-7736.2021.02.006

船舶与海洋工程

基于泰勒级数展开法的船舶水动力数值预报

胡伟 ,
惠宁 ,
吴志飞 ,
张腾 ,
周波

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(1.海洋石油工程股份有限公司，天津 300451；2.大连理工大学? 工业装备结构分析国家重点实验室;运载工程与力学学部? 船舶工程学院，辽宁大连 116024)

张腾*（1991 — ），男，博士，助理研究员，E-mail：13342284962@163.com.

收稿日期: 2020-12-25

修回日期: 2021-03-18

网络出版日期: 2021-03-18

基金资助

国家自然科学基金资助项目（52091059）；辽宁省“兴辽英才计划”项目资（XLYC1807190）.

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Numerical prediction of ship hydrodynamics based on Taylor series expansion method

HU Wei ,
HUI Ning ,
WU Zhi-fei ,
ZHANG Teng ,
ZHOU Bo

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(1.Offshore Oil Engineering Co., Ltd., Tianjin 300451, China; 2. State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture Engineering, Dalian University of Technology, Dalian 116024, China)

Received date: 2020-12-25

Revised date: 2021-03-18

Online published: 2021-03-18

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摘要

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Wigley Ⅰ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.

关键词： 船舶水动力; 三维时域Green函数; Taylor级数展开法; 脉冲响应函数法; 辐射问题

本文引用格式

胡伟 , 惠宁 , 吴志飞 , 张腾 , 周波 . 基于泰勒级数展开法的船舶水动力数值预报[J]. 大连海事大学学报, 2021 , 47(2) : 45 -55 . DOI: 10.16411/j.cnki.issn1006-7736.2021.02.006

Abstract

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.

Key words： ship hydrodynamic; three-dimensional time domain Green function; Taylor series expansion method; impulse response function method; radiation problem

参考文献

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