| A New Approach to High-Order Boussinesq-Type Equations with Ambient Currents |
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| 作者姓名： | 王亚玲 张洪生 缪国平 朱良生 |
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| 作者单位： | [1]SchoolofNavalArchitectureandOceanEngineering,ShanghaiJiaoTongUniversity,Shanghai200030,China [2]LED,SouthChinaSeaInstituteofOceanology,ChineseAcademyofSciences,Guangzhou510301,China |
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| 基金项目： | This work was financially supported by the Science Foundation of National Education Committee of China (Grant No.40106008) and by LED, South China Sea Institute of Oceanology, Chinese Academy of Sciences. |
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| 摘 要： | A new approach to high-order Boussinesq-type equations with ambient currents is presented. The current velocity is assumed to be uniform over depth and of the same magnitude as the shallow water wave celerity. The wave velocity field is expressed in terms of the horizontal and vertical wave velocity components at an arbitrary water depth level. Linear operators are introduced to improve the accuracy of the kinematic condition at the sea bottom. The dynamic and kinematic conditions at the free surface are expressed in terms of wave velocity variables defined directly on the free surface. The new equations provide high accuracy of linear properties as well as nonlinear properties from shallow to deep water, and extend the applicable range of relative water depth in the case of opposing currents.
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| 关 键 词： | 泊松函数 波浪-洋流作用 传播性质 非线性 浅滩特征 |
A New Approach to High-Order Boussinesq-Type Equations with Ambient Currents |
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| WANG Ya-ling a,ZHANG Hong-sheng a,MIAO Guo-ping a and ZHU Liang-sheng baSchool of Naval Architecture and Ocean Engineering,Shanghai Jiao Tong University,Shanghai ,ChinabLED,South China Sea Institute of Oceanology,Chinese Academy of Sciences,Guangzhou ,China.A New Approach to High-Order Boussinesq-Type Equations with Ambient Currents[J].China Ocean Engineering,2005,19(1):49-60. |
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| Authors: | WANG Ya-ling a ZHANG Hong-sheng a MIAO Guo-ping a and ZHU Liang-sheng baSchool of Naval Architecture and Ocean Engineering Shanghai Jiao Tong University Shanghai ChinabLED South China Sea Institute of Oceanology Chinese Academy of Sciences Guangzhou China |
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| Institution: | WANG Ya-ling a,1,ZHANG Hong-sheng a,MIAO Guo-ping a and ZHU Liang-sheng baSchool of Naval Architecture and Ocean Engineering,Shanghai Jiao Tong University,Shanghai 200030,ChinabLED,South China Sea Institute of Oceanology,Chinese Academy of Sciences,Guangzhou 510301,China |
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| Abstract: | A new approach to high-order Boussinesq-type equations with ambient currents is presented. The current velocity is assumed to be uniform over depth and of the same magnitude as the shallow water wave celerity. The wave velocity field is expressed in terms of the horizontal and vertical wave velocity components at an arbitrary water depth level. Linear operators are introduced to improve the accuracy of the kinematic condition at the sea bottom. The dynamic and kinematic conditions at the free surface are expressed in terms of wave velocity variables defined directly on the free surface. The new equations provide high accuracy of linear properties as well as nonlinear properties from shallow to deep water, and extend the applicable range of relative water depth in the case of opposing currents. |
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