On the Lagrangian residual current and residual transport in a multiple time scale system of shallow seas

Lu Youyu

doi:10.1007/BF02850677

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On the Lagrangian residual current and residual transport in a multiple time scale system of shallow seas

OriginalPaper | Updated：2023-05-16

- On the Lagrangian residual current and residual transport in a multiple time scale system of shallow seas
- On the Lagrangian residual current and residual transport in a multiple time scale system of shallow seas
- 海洋湖沼学报（英文） 1991年9卷第2期页码：184-192
- Affiliations：
  
  Ocean University of Qingdao
- Author bio：
- Funds：
- DOI：10.1007/BF02850677
  中图分类号：
- 纸质出版：1991
- Accepted：
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On the Lagrangian residual current and residual transport in a multiple time scale system of shallow seas[J]. 海洋湖沼学报（英文）, 1991,9(2):184-192.

Youyu, L. On the Lagrangian residual current and residual transport in a multiple time scale system of shallow seas., Chin. J. Ocean. Limnol. 9, 184–192 (1991). https://doi.org/10.1007/BF02850677
On the Lagrangian residual current and residual transport in a multiple time scale system of shallow seas[J]. 海洋湖沼学报（英文）, 1991,9(2):184-192. DOI： 10.1007/BF02850677.

Youyu, L. On the Lagrangian residual current and residual transport in a multiple time scale system of shallow seas., Chin. J. Ocean. Limnol. 9, 184–192 (1991). https://doi.org/10.1007/BF02850677 DOI：

摘要

Abstract

A multiple time scale perturbation method is used to discuss the Lagrangian residual current and residual transport on the basis of a weakly nonlinear dynamic model of shallow seas. The governing equations for the long-term variation of zero order “apparent concentration” (which is a linear combination of salinity

temperature of seawater and the concentration of any tracer which is conservative and passive) and its mean value over tidal cycles are obtained for the system with single tidal constituent

and for the one with multi-constituents

winds and thermohaline. The equations for the two cases are in the same form and show this long-term variation resulted from the cumulative effect of residual convection and turbulent diffusion. The multiple time scale variation of current is caused by tides

winds

and the thermohaline and the nonlinear effects of the system. The derived set of governing field equations of the Lagrangian current for this multiple time scale system is also in the same form as that for a single time scale system.

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references

Feng, S., 1977. A three-dimensional model of tides.Scientia Sinica 20 (4): 435–446.

Feng, S., 1986. A three-dimensional weakly nonlinear dynamics on tide-induced Lagrangian residual current and mass-transport.Chin. J. Oceanol. Limnol. 4 (2): 139–158.

Feng, S., 1987. A three-dimensional weakly nonlinear model of tide-induced Lagrangian residual current and mass-transport, with an application to the Bohai Sea.In: Three-Dimensional Models of Marine and Estuarine Dynamics, Elsevier Publ. Co., Amsterdam pp. 471–488.

Feng, S., 1988. Fundamentals of hydrodynamics of shallow water circulation and transport.In: Proc. of Conf. on Engineering Mechanics and Thermophysics, Tsing Hua Univ. Press, Beijing pp. 199–208 (in Chinese).

Feng, S., 1990. On the Lagrangian residual velocity and mass-transport in a multi-frequency oscillatory system.In: Residual Currents and Long-term Transport, Springer-Verlag, New York pp. 34–48.

Feng, S., R. T. Cheng and P. Xi, 1986. On tide-induced Lagrangian residual current and residual transport 2. Residual transport with application in South San Francisco Bay, California,Water Resources Research 22 (12): 1635–1646.

Hamrick, J. M., 1986. Subtidal circulation and transport in estuaries.In: Advancements in Aerodynamics, Fluid Mechanics and Hydraulics, ASCE, New York, pp. 1–8.

Hamrick, J. M., 1987. Time averaged estuarine mass transport equations,In: Proc. of the 1987 National Conf. on Hydraulic Engineering, ASCE, New York, pp. 624–629.

Sun, W., P. Xi and L. Song, 1989. Numerical calculation on the three-dimensional tide-induced Lagrangian residual circulation in the Bohai Sea.J. Ocean Univ. Qingdao 19 (2.I): 27–36

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