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A Derivation of Ordinary Differential Equations and The Numerical Calculations for Deep Water Time Domain Green Functions
Zhu Renchuan ,Shen Liang ,Miao Guoping *
Shanghai Jiao Tong University
*Correspondence author
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Funding: 教育部博士点基金（No.20030248014）
Opened online: 8 November 2006
Accepted by: none
Citation: Zhu Renchuan ,Shen Liang ,Miao Guoping .A Derivation of Ordinary Differential Equations and The Numerical Calculations for Deep Water Time Domain Green Functions[OL]. [ 8 November 2006] http://en.paper.edu.cn/en_releasepaper/content/9387
 
 
How to evaluate time-domain Green function and its gradients efficiently is the key problem to analyze ship hydrodynamics in time domain. Based on the Bessel function, an Ordinary Differential Equation (ODE) was derived for time-domain Green function and its gradients in this paper. A new efficient calculation method based on solving ODE is proposed. It has been demonstrated by the numerical calculation that this method can improve the precision of the time-domain Green function.
Keywords:Time domain Green function, Series and Asymptotic expression, ODE
 
 
 

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