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奇异边界法分析含水下障碍物水域中的水波传播问题

李珺璞 傅卓佳 陈文

李珺璞, 傅卓佳, 陈文. 奇异边界法分析含水下障碍物水域中的水波传播问题[J]. 应用数学和力学, 2015, 36(10): 1035-1044. doi: 10.3879/j.issn.1000-0887.2015.10.003
引用本文: 李珺璞, 傅卓佳, 陈文. 奇异边界法分析含水下障碍物水域中的水波传播问题[J]. 应用数学和力学, 2015, 36(10): 1035-1044. doi: 10.3879/j.issn.1000-0887.2015.10.003
LI Jun-pu, FU Zhuo-jia, CHEN Wen. The Singular Boundary Method for Obliquely Incident Water Wave Passing a Submerged Breakwater[J]. Applied Mathematics and Mechanics, 2015, 36(10): 1035-1044. doi: 10.3879/j.issn.1000-0887.2015.10.003
Citation: LI Jun-pu, FU Zhuo-jia, CHEN Wen. The Singular Boundary Method for Obliquely Incident Water Wave Passing a Submerged Breakwater[J]. Applied Mathematics and Mechanics, 2015, 36(10): 1035-1044. doi: 10.3879/j.issn.1000-0887.2015.10.003

奇异边界法分析含水下障碍物水域中的水波传播问题

doi: 10.3879/j.issn.1000-0887.2015.10.003
基金项目: 国家自然科学基金(11372097;11302069);111引智计划(B12032);国家杰出青年科学基金(11125208);中国博士后科学基金(2014M561565)
详细信息
    作者简介:

    李珺璞(1991—),男,河南开封人,硕士生(E-mail: lijunpu@hhu.edu.cn);傅卓佳(1985—),男,浙江绍兴人,讲师(E-mail: paul212063@hhu.edu.cn);陈文(1967—),男,江苏镇江人,教授,博士生导师(通讯作者. E-mail: chenwen@hhu.edu.cn).

  • 中图分类号: O353.2

The Singular Boundary Method for Obliquely Incident Water Wave Passing a Submerged Breakwater

Funds: The National Natural Science Foundation of China(11372097;11302069); The National Science Fund for Distinguished Young Scholars of China(11125208); China Postdoctoral Science Foundation(2014M561565)
  • 摘要: 研究奇异边界法模拟水波在含水下障碍物水域的传播过程.奇异边界法是一种最近提出的新型边界配点方法,具有无网格和无数值积分、数学简单、编程容易等优点.首先研究了奇异边界法分析典型水波算例的精度及效率,并与边界元法的计算结果进行比较,然后通过数值模拟讨论分析了水下障碍物位置、尺寸及形状等因素对水波传播的影响.发现奇异边界法的计算精度较高,且与边界元法的计算结果吻合较好;数值结果显示水下障碍物的不同高宽比对水波的传播影响明显:障碍物无量纲高度越大对水波的屏障作用越明显;障碍物无量纲宽度增加对水波的屏障作用先增强后变弱.在高宽比一定时,斜率变化对水波的屏障作用不明显;含吸收边界水下障碍物可以得到较低的传递系数和较高的反射系数, 对水波的屏障作用更为明显.
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出版历程
  • 收稿日期:  2015-01-30
  • 修回日期:  2015-03-03
  • 刊出日期:  2015-10-15

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