截断圆柱绕射解析解中水线上速度势及其z向偏导数的收敛性研究(耿宝磊; 勾莹; 滕斌)

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截断圆柱绕射解析解中水线上速度势及其z向偏导数的收敛性研究水利论文Aiac6kF.O+mV

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【作者】耿宝磊; 勾莹; 滕斌 【作者单位】大连理工大学海岸和近海工程国家重点实验室

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NP?d1nr/J0【论文摘要】 通过分区离散和边界匹配的方法可以得到波浪关于截断圆柱绕射的解析解,计算结果的精度取决于解析式中展开项的项数。本研究分别研究了水线上展开项数 m、i、j 对φ,(?)φ/(?)z, (?)φ/(?)z2的收敛性的影响。并在此基础上,给出了计算中的处理方法和建议取值.水利论文&J/[ tO%D-Pb dV @s

!I1U.j:p1B"EK!\#J@0【英文论文摘要】 Based on the dividing domain and matching on the boundary,the problem of wave diffraction from a truncated cylinder is solved by using an analytical method.The convergence of velocity potential and its derivative on z direction lies on the number of the expansion term.In this paper,numerical examinations are carried out on the impact of expansion term m,i,j on φ,(?)φ/(?)z, ?2φ/(?)z2 on waterline respectively.Suggestions about treatment method and propositional number are given based on the study.水利论文r+zB3W6~.{;]#Ox

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【论文关键词】 截断圆柱; 解析解; 速度势; z 向偏导数; 收敛性
J3Q)@@ z;gEu0【英文论文关键词】 truncated cylinder; analytical solution; velocity potential; derivative on z direction; convergence水利论文u!c a XN:Q0cq:d
【基金】国家自然科学基金(50639030,10772040);; 国家高技术研究发展计划(863计划)(2006AA09A109-3)。水利论文,`\q;\9c:S2Q7ECv
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TAG: 圆柱 滕斌 导数 耿宝磊 勾莹
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