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

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

¹天津大学水利工程仿真与安全国家重点试验室, 天津 300072;²国家海洋局南海调查技术中心, 广州 510300;³国家海洋局南海预报中心, 广州 510310

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
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- 文章访问数: 1861
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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

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

¹State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, P.R.China;²South China Sea Marine Survey and Technology Center, State Oceanic Administration, Guangzhou 510300, P.R.China;³South China Sea Prediction Center, State Oceanic Administration, Guangzhou 510310, P.R.China

Funds: The National Natural Science Foundation of China（41576093）；The National Key R&D Program of China（2018YFC0407505）

摘要

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.
- σ坐标转换 /
- 三维水动力模型 /
- 有限元法 /
- 差分法 /
- 水动力特征
Abstract: The 3D hydrodynamic model plays an important role in accurate simulation of the physical characteristics of the ocean. The complex highorder terms are discarded in the traditional σ coordinate transformation due to the limitation of the computer ability, which causes certain errors or calculation distortions for actual complex terrains (or water depth variations). Therefore, the existent σ coordinate 3D hydrodynamic model was modified in order to meet the needs for highprecision calculation results. In the improved model, the complex highorder terms related to the flow velocity, the water level and the terrain introduced through the σ coordinate transformation were comprehensively considered. The specific interpolation function and the combination of the FEM and the FDM were used to solve the complete 3D shallow water model equations in the σ coordinate system. Compared with the existent model, the improved model has a wider range of applications for changes in the bottom slope, the water depth and the tidal amplitude, which could improve the simulation of the vertical flow distribution characteristics under complex water depth changes and promote the accuracy of the calculation results. The calculation error can be kept in a small range in the improved model under some extreme water conditions (with a tidal amplitude to water depth ratio greater than 0.15), and the improved model can reach a steady state in a short time.
- σ coordinate transformation /
- 3D hydrodynamic model /
- finite element method /
- finite difference method /
- hydrodynamic characteristic

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参考文献(22)

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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

doi: 10.21656/1000-0887.390344

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）.

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

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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

doi: 10.21656/1000-0887.390344

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）.

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出版历程

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

计量

出版历程

目录

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）.