Analytical solution to the 3D tide-induced Lagrangian residual current in a narrow bay with vertically varying eddy viscosity coefficient

Cui, Yanxing; Sheng, Xiaoxuan; Jiang, Wensheng; Feng, Sha

doi:10.1007/s10236-020-01359-3

Cited by 6 publications

(1 citation statement)

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“…Subsequently, numerical models were utilized to study the contribution of tidal body force to LRV under a constant eddy viscosity, revealing that the Stokes' drift component plays a dominant role (Cui et al, 2019). Chen et al (2020) analyzed the contribution of each dynamical term to the LRV and found the Stokes' drift component is the dominant component under the condition of the horizontal unvaried but depth-varying eddy viscosity. The above studies are all carried out under a temporally constant eddy viscosity.…”

Section: Introductionmentioning

confidence: 99%

Influence of Stratification and Wind Forcing on the Dynamics of Lagrangian Residual Velocity in a Periodically Stratified Estuary

Deng,

Jia,

Shi

et al. 2023

Preprint

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Abstract. Wind and stratification play pivotal roles in shaping the structure of the Lagrangian residual velocity (LRV). However, the intricate dynamics by which wind and stratification modify the LRV remain poorly studied. This study derives numerical solutions of LRV components and eddy viscosity subcomponents to elucidate the dynamics within the periodically stratified Pearl River estuary. The vertical shear cross-estuary LRV (uL) is principally governed by the interplay among the eddy viscosity component (uLtu), the barotropic component (uLba), and the baroclinic component (uLgr) under stratified conditions. During neap tides, southwesterly winds notably impact uL by escalating uLtu by an order of magnitude within the upper layer. This transforms the eastward flow dominated by uLtu under wind influence into a westward flow dominated by uLba in upper shoal regions without wind forcing. The along-estuary LRV exhibits a gravitational circulation characterized by upper-layer outflow engendered by barotropic component (vLba) and lower-layer inflow predominantly driven by baroclinic component (vLgr). The presence of southwesterly winds suppresses along-estuary gravitational circulation by diminishing the magnitude of vLba and vLgr. The contributions of vLba and vLgr are approximately equal, while the ratio between uLba and uLgr (uLtu) fluctuates within the range of 1 to 2 in stratified waters. Under unstratified conditions, LRV exhibits a lateral shear structure due to differing dominant components compared to stratified conditions. In stratified scenarios, the eddy viscosity component of LRV is predominantly governed by the turbulent mean component, while it succumbs to the influence of the tidal straining component in unstratified waters.

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Section: Introductionmentioning

confidence: 99%