A NUMERICAL MODEL FOR INTERNAL WAVE PROPAGATION IN CONTINUOUSLY STRATIFIED OCEAN

Zhang Hongsheng; Gu Junbo; Jia Haiqing; Gu Biao

doi:10.6052/0459-1879-12-195

Volume 44 Issue 5

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Chinese Journal of Theoretical and Applied Mechanics > 2012 > 44(5): 896-903. > DOI: 10.6052/0459-1879-12-195 CSTR: 32045.14.0459-1879-12-195

Zhang Hongsheng, Gu Junbo, Jia Haiqing, Gu Biao. A NUMERICAL MODEL FOR INTERNAL WAVE PROPAGATION IN CONTINUOUSLY STRATIFIED OCEAN[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(5): 896-903. DOI: 10.6052/0459-1879-12-195

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A NUMERICAL MODEL FOR INTERNAL WAVE PROPAGATION IN CONTINUOUSLY STRATIFIED OCEAN

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).

Received Date: March 15, 2012
Revised Date: June 19, 2012

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Abstract

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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References

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A NUMERICAL MODEL FOR INTERNAL WAVE PROPAGATION IN CONTINUOUSLY STRATIFIED OCEAN