Application of Method of Fundamental Solutions in Solving Potential Flow Problems for Ship Motion Prediction

doi:10.1007/s12204-013-1378-1

上海交通大学学报（英文版） ›› 2013, Vol. 18 ›› Issue (2): 153-158.doi: 10.1007/s12204-013-1378-1

Application of Method of Fundamental Solutions in Solving Potential Flow Problems for Ship Motion Prediction

FENG Pei-yuana* (封培元), MA Ninga,b (马宁), GU Xie-chonga,b (顾解仲)

(a. School of Naval Architecture, Ocean and Civil Engineering; b. State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University, Shanghai 200240, China)

出版日期:2013-04-30 发布日期:2013-05-10
通讯作者: FENG Pei-yuana(封培元) E-mail:pyfeng_sjtu@163.com

Application of Method of Fundamental Solutions in Solving Potential Flow Problems for Ship Motion Prediction

FENG Pei-yuana* (封培元), MA Ninga,b (马宁), GU Xie-chonga,b (顾解仲)

(a. School of Naval Architecture, Ocean and Civil Engineering; b. State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University, Shanghai 200240, China)

Online:2013-04-30 Published:2013-05-10
Contact: FENG Pei-yuana(封培元) E-mail:pyfeng_sjtu@163.com

摘要/Abstract

摘要： A novel panel-free approach based on the method of fundamental solutions (MFS) is proposed to solve the potential flow for predicting ship motion responses in the frequency domain according to strip theory. Compared with the conventional boundary element method (BEM), MFS is a desingularized, panel-free and integration-free approach. As a result, it is mathematically simple and easy for programming. The velocity potential is described by radial basis function (RBF) approximations and any degree of continuity of the velocity potential gradient can be obtained. Desingularization is achieved through collating singularities on a pseudo boundary outside the real fluid domain. Practical implementation and numerical characteristics of the MFS for solving the potential flow problem concerning ship hydrodynamics are elaborated through the computation of a 2D rectangular section. Then, the current method is further integrated with frequency domain strip theory to predict the heave and pitch responses of a containership and a very large crude carrier (VLCC) in regular head waves. The results of both ships agree well with the 3D frequency domain panel method and experimental data. Thus, the correctness and usefulness of the proposed approach are proved. We hope that this paper will serve as a motivation for other researchers to apply the MFS to various challenging problems in the field of ship hydrodynamics.

关键词: method of fundamental solutions (MFS), panel-free, strip theory, ship hydrodynamics

Abstract: A novel panel-free approach based on the method of fundamental solutions (MFS) is proposed to solve the potential flow for predicting ship motion responses in the frequency domain according to strip theory. Compared with the conventional boundary element method (BEM), MFS is a desingularized, panel-free and integration-free approach. As a result, it is mathematically simple and easy for programming. The velocity potential is described by radial basis function (RBF) approximations and any degree of continuity of the velocity potential gradient can be obtained. Desingularization is achieved through collating singularities on a pseudo boundary outside the real fluid domain. Practical implementation and numerical characteristics of the MFS for solving the potential flow problem concerning ship hydrodynamics are elaborated through the computation of a 2D rectangular section. Then, the current method is further integrated with frequency domain strip theory to predict the heave and pitch responses of a containership and a very large crude carrier (VLCC) in regular head waves. The results of both ships agree well with the 3D frequency domain panel method and experimental data. Thus, the correctness and usefulness of the proposed approach are proved. We hope that this paper will serve as a motivation for other researchers to apply the MFS to various challenging problems in the field of ship hydrodynamics.

Key words: method of fundamental solutions (MFS), panel-free, strip theory, ship hydrodynamics

中图分类号:

U 661.1

FENG Pei-yuana* (封培元), MA Ninga,b (马宁), GU Xie-chonga,b (顾解仲). Application of Method of Fundamental Solutions in Solving Potential Flow Problems for Ship Motion Prediction[J]. 上海交通大学学报（英文版）, 2013, 18(2): 153-158.

FENG Pei-yuana* (封培元), MA Ninga,b (马宁), GU Xie-chonga,b (顾解仲). Application of Method of Fundamental Solutions in Solving Potential Flow Problems for Ship Motion Prediction[J]. Journal of shanghai Jiaotong University (Science), 2013, 18(2): 153-158.

参考文献

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Application of Method of Fundamental Solutions in Solving Potential Flow Problems for Ship Motion Prediction

Application of Method of Fundamental Solutions in Solving Potential Flow Problems for Ship Motion Prediction

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