A three-dimensional weakly nonlinear dynamics on tide-induced Lagrangian residual current and mass-transport

Feng Shizuo

doi:10.1007/BF02850431

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A three-dimensional weakly nonlinear dynamics on tide-induced Lagrangian residual current and mass-transport

Updated：2023-05-16

- A three-dimensional weakly nonlinear dynamics on tide-induced Lagrangian residual current and mass-transport
- Journal of Oceanology and Limnology Vol. 4, Issue 2, Pages: 139-158(1986)
- Affiliations：
  
  Shandong College of Oceanology
- Author bio：
- Funds：
- DOI：10.1007/BF02850431
  CLC：
- Published：1986
- Accepted：
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Shizuo, F. A three-dimensional weakly nonlinear dynamics on tide-induced Lagrangian residual current and mass-transport., Chin. J. Ocean. Limnol. 4, 139–158 (1986). https://doi.org/10.1007/BF02850431
DOI：

Shizuo, F. A three-dimensional weakly nonlinear dynamics on tide-induced Lagrangian residual current and mass-transport., Chin. J. Ocean. Limnol. 4, 139–158 (1986). https://doi.org/10.1007/BF02850431 DOI：

摘要

Abstract

In recent years

studies of the environmental hydrodynamics in coastal seas and tidal estuaries have placed focus on the processes which determine the “fate” of longer-term transport. The lagrangian residual current has been recognized as an important factor which affects the longer term transport processes since it is more relevant to use a Lagrangian mean velocity rather than an Eulerian mean velocity to determine the origin of Water masses. In the present paper

an attempt is made to formulate a three-dimensional dynamics on the tideinduced Lagrangian residual current and mass-transport based upon a three-dimensional weakly-nonlinear model of tides. The Lagrangian residual velocity is shown to be the sum of the mass-transport velocity

which is the sum of the Eulerian residual velocity and the Stokes’ drift velocity

and the Lagrangian residual drift velocity which is dependent on the tidal current phase. This reveals that it is the mass-transport velocity which is the tidal cycle Eulerian mean of the Lagrangian residual velocity and that the mass-transport velocity is correct to the second order of approximation rather than to the first order. And then

a new longer-term transport equation which correctly describes the Lagrangian nature of transport processes without introducing the Fickian hypothesis for tidal dispersion is derived. In fact

the convection can be correctly represented by the Eulerian mean of the Lagrangian residual velocity

as the convective velocity in the longer-term transport equation is nothing but the mass-transport velocity.

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references

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