连续分层海洋中内波传播的一种数值模式

张洪生; 辜俊波; 贾海青; 古彪

doi:10.6052/0459-1879-12-195

连续分层海洋中内波传播的一种数值模式

doi: 10.6052/0459-1879-12-195

张洪生^1,2, ,,
辜俊波^2,3,
贾海青¹,
古彪⁴

1.
上海海事大学海洋环境与工程学院, 上海 201306
2. 上海交通大学海洋工程国家重点实验室, 上海 200240
3. 中国电力工程顾问集团华东电力设计院, 上海 200063
4. 中国航空工业第六○五研究所, 湖北荆门 448035

基金项目: 国家自然科学基金(51079082),劳氏教育基金会UCL-SJTU-HEU深水工程及水动力学联合研究中心,上海交通大学海洋工程国家重点实验室(GP010818)和航空科技创新基金(08A05002)资助项目.

详细信息

通讯作者:
张洪生

中图分类号: P731.2,O353.2
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出版历程
- 收稿日期: 2012-03-16
- 修回日期: 2012-06-20
- 刊出日期: 2012-09-18

A NUMERICAL MODEL FOR INTERNAL WAVE PROPAGATION IN CONTINUOUSLY STRATIFIED OCEAN

Zhang Hongsheng^{1,2
, ,},
Gu Junbo^2,3,
Jia Haiqing¹,
Gu Biao⁴

1.
Ocean Environmental and Engineering College, Shanghai Maritime University, Shanghai 201306, China
2. State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University, Shanghai 200240, China
3. East China Electric Power Design Institute of China Power Engineering Consulting Group, Shanghai 200063, China
4. AVIC 605th Research Institute, Hubei, Jingmen 448035, China

Funds: The project was supported by the National Natural Science Foundation of China(51079082),the LRET Through the Joint centre Involving University College London,Shanghai Jiaotong University and Harbin Engineering University,State Laboratory of\linebreak Ocean Engineering,Shanghai Jiaotong University (GP010818),and the Aeronautical Science Foundation of China (08A05002).

摘要

摘要: 基于Euler方程,使用有限体积法建立了一种密度为连续分层情况下、适应水深变化的水域中内波传播的数值模式.为了使计算格式能够达到二阶精度,对流项的处理使用了TVD (total variation diminishing)格式.将SIMPLE算法引入连续分层海洋中内波的数值计算,为了简化计算并方便地适应多种TVD格式,在计算预估速度场时采用了显式格式,而没有采用传统的隐式格式;鉴于在原始的SIMPLE算法中没有涉及到由于密度扰动而引起的静水压力场的改变问题,给出了该问题的计算方法.因此改进了SIMPLE算法.出流边界的处理采用阻尼消波和Sommerfeld辐射条件相结合的方式,以使内波得到有效的衰减和释放.将等水深水域的数值解和理论解进行了比较,两者吻合较好;并对存在潜堤时数值计算的不同时刻密度变化的空间分布进行了详细的定性分析.计算结果表明,所建立的数值模式能有效地模拟内波的传播和变形.
- 内波 /
- 连续分层 /
- 有限体积法 /
- 数值模拟 /
- SIMPLE算法
Abstract: Based on the Euler equations,the finite volume method is employed to develop a numerical model for the internal wave propagation in continuously stratified ocean with variable water depth.The convection terms are discretized with the total variation diminishing (TVD) scheme to make the numerical scheme accurate up to second order,and the SIMPLE algorithm is used in the present numerical scheme.In order to simplify the calculation process and easily adapt to different TVD schemes,the adopted semi-implicit method for pressure linked equations (SIMPLE) algorithm is modified.The predicted velocity fields are calculated with the explicit scheme,instead of the implicit scheme,which is traditionally adopted in the SIMPLE algorithm.Also,the varieties of the hydrostatic pressure due to the density disturbances are not involved in the original SIMPLE algorithm,but they are involved and resolved in this paper.Thus,the SIMPLE algorithm is further developed.The open boundary at the far end is dealt with a sponge layer combined with the Sommerfield's radiation condition.The numerical results with constant depth are compared to the analytical solutions and good agreements are found,and the calculated spatial distributions of the density fields with a submerged dike at different moments are analyzed in details.It is shown that the present numerical model can effectively simulate the propagation of internal wave.
- internal wave /
- continuous stratified fluid /
- finite volume method /
- numerical simulation /
- SIMPLE algorithm

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