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      Improved Numerical Computing Method for the 3D Tidally Induced Lagrangian Residual Current and Its Application in a Model Bay with a Longitudinal Topography

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          An improved method for computing the three-dimensional (3D) first-order Lagrangian residual velocity ( u L ) is established. The method computes tidal body force using the harmonic constants of the zeroth-order tidal current. Compared with using the tidal-averaging method to compute the tidal body force, the proposed method filters out the clutter other than the single-frequency tidal input from the open boundary and obtains u L that is more consistent with the analytic solution. Based on the new method, u L is calculated for a wide bay with a longitudinal topography. The strength and pattern of u L are mostly determined by the parts of the tidal body force related to the vertical mixing of the Stokes’ drift and the Coriolis effect, with a minor contribution from the advection effect. The geometrical shape of the bay can influence u L through the topographic gradient. The magnitude of u L increases with the increases in tidal energy input and vertical eddy viscosity and decreases in terms of the bottom friction coefficient.

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          Author and article information

          Journal of Ocean University of China
          Science Press and Springer (China )
          12 November 2019
          01 December 2019
          : 18
          : 6
          : 1235-1246
          1Laboratory of Marine Environment and Ecology, Ocean University of China, Qingdao 266100, China
          2Physical Oceanography Laboratory/CIMST, Ocean University of China and Qingdao National Laboratory for Marine Science and Technology, Qingdao 266100, China
          3Department of mathematics, Changzhi University, Changzhi 046000, China
          Author notes
          *Corresponding author: JIANG Wensheng
          Copyright © Ocean University of China, Science Press and Springer-Verlag GmbH Germany 2019.

          The copyright to this article, including any graphic elements therein (e.g. illustrations, charts, moving images), is hereby assigned for good and valuable consideration to the editorial office of Journal of Ocean University of China, Science Press and Springer effective if and when the article is accepted for publication and to the extent assignable if assignability is restricted for by applicable law or regulations (e.g. for U.S. government or crown employees).

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