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三维海洋水动力计算σ坐标转换存在的问题及改进方法

白玉川 温志超 徐海珏 廖世智 曹永港 夏华永

白玉川, 温志超, 徐海珏, 廖世智, 曹永港, 夏华永. 三维海洋水动力计算σ坐标转换存在的问题及改进方法[J]. 应用数学和力学, 2019, 40(8): 840-855. doi: 10.21656/1000-0887.390344
引用本文: 白玉川, 温志超, 徐海珏, 廖世智, 曹永港, 夏华永. 三维海洋水动力计算σ坐标转换存在的问题及改进方法[J]. 应用数学和力学, 2019, 40(8): 840-855. doi: 10.21656/1000-0887.390344
BAI Yuchuan, WEN Zhichao, XU Haijue, LIAO Shizhi, CAO Yonggang, XIA Huayong. Problems and Improved Methods of 3D Ocean Hydrodynamic Calculation With the σ Coordinate Transformation[J]. Applied Mathematics and Mechanics, 2019, 40(8): 840-855. doi: 10.21656/1000-0887.390344
Citation: BAI Yuchuan, WEN Zhichao, XU Haijue, LIAO Shizhi, CAO Yonggang, XIA Huayong. Problems and Improved Methods of 3D Ocean Hydrodynamic Calculation With the σ Coordinate Transformation[J]. Applied Mathematics and Mechanics, 2019, 40(8): 840-855. doi: 10.21656/1000-0887.390344

三维海洋水动力计算σ坐标转换存在的问题及改进方法

doi: 10.21656/1000-0887.390344
基金项目: 国家自然科学基金(41576093);国家重点研发计划(2018YFC0407505)
详细信息
    作者简介:

    白玉川(1967—),男,教授,博士,博士生导师(E-mail: ychbai@tju.edu.cn);温志超(1990—),女,博士(通讯作者. E-mail: when012103@163.com).

  • 中图分类号: O352;TV131.2

Problems and Improved Methods of 3D Ocean Hydrodynamic Calculation With the σ Coordinate Transformation

Funds: The National Natural Science Foundation of China(41576093);The National Key R&D Program of China(2018YFC0407505)
  • 摘要: 三维水动力模型在准确模拟海洋物理特性中起着重要的作用,传统的σ坐标转换由于当时计算机能力所限,舍去了复杂的高阶项,在实际复杂地形(或水深变化)环境下,会带来一定的误差或计算失真等问题.由此,为了适应高精度计算结果的需求,对原有σ坐标三维水动力模型进行了重新修正.在改进后的模型中,综合考虑了经σ坐标变换引入的与流速、水位、地形相关的复杂高阶项,选用特定的插值函数,利用有限元和差分相结合的方法,进行求解σ坐标下的完整三维浅水模式方程.相比原模型,改进的模型对底坡、水深、潮汐振幅等变化适用范围更为广泛,能更好地模拟出复杂水深变化下的垂向流动分布特征,计算结果具有更高的精确度;改进的模型针对一些极端水位条件(潮汐振幅与水深比大于0.15),其计算误差同样可保持在一个较低的范围内;同时,改进的模型只需更短的时间就可运行至稳定状态.
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出版历程
  • 收稿日期:  2018-12-05
  • 修回日期:  2019-01-05
  • 刊出日期:  2019-08-01

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