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高阶边界元方法求解规则波在三维局部渗透海床上的传播

章旭 勾莹 倪云林 滕斌 刘珍

章旭, 勾莹, 倪云林, 滕斌, 刘珍. 高阶边界元方法求解规则波在三维局部渗透海床上的传播[J]. 海洋学报, 2016, 38(1): 133-142. doi: 10.3969/j.issn.0253-4193.2016.01.013
引用本文: 章旭, 勾莹, 倪云林, 滕斌, 刘珍. 高阶边界元方法求解规则波在三维局部渗透海床上的传播[J]. 海洋学报, 2016, 38(1): 133-142. doi: 10.3969/j.issn.0253-4193.2016.01.013
Zhang Xu, Gou Ying, Ni Yunlin, Teng Bin, Liu Zhen. Regular wave propagation on 3-D local permeable seabed by higher-order boundary element method[J]. Haiyang Xuebao, 2016, 38(1): 133-142. doi: 10.3969/j.issn.0253-4193.2016.01.013
Citation: Zhang Xu, Gou Ying, Ni Yunlin, Teng Bin, Liu Zhen. Regular wave propagation on 3-D local permeable seabed by higher-order boundary element method[J]. Haiyang Xuebao, 2016, 38(1): 133-142. doi: 10.3969/j.issn.0253-4193.2016.01.013

高阶边界元方法求解规则波在三维局部渗透海床上的传播

doi: 10.3969/j.issn.0253-4193.2016.01.013
基金项目: 国家基础研究发展计划(973)(2013CB036101);国家自然科学基金(51479026,51209107);中央高校基本科研业务费(DUT14ZD203)。

Regular wave propagation on 3-D local permeable seabed by higher-order boundary element method

  • 摘要: 基于线性势流理论,利用高阶边界元法研究了规则波在三维局部渗透海床上的传播。根据Darcy渗透定律推导出渗透海床的控制方程,利用渗透海床顶部和海底处法向速度和压强连续条件得到渗透海床顶部满足的边界条件。根据绕射理论,利用满足自由水面条件的格林函数建立了求解渗透海床绕射势的边界积分方程,采用高阶边界元方法求解边界积分方程进而得到自由水面的绕射势和波浪在局部渗透海床上传播过程中幅值的变化情况。通过与已发表的波浪对圆柱形暗礁的时域全绕射结果对比,证明了本文建立的频域方法计算波幅的正确性和有效性。利用这一模型研究了三维矩形渗透海床区域上波浪的传播特性,并分析了入射波波长、海床渗透特性系数等参数对波浪传播的影响。
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出版历程
  • 收稿日期:  2015-03-10
  • 修回日期:  2015-04-30

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