Evaluation of tidal residual currents in a wide estuary, using a finite element method
作者:
A. D. Jenkins,
期刊:
International Journal for Numerical Methods in Fluids
(WILEY Available online 1983)
卷期:
Volume 3,
issue 1
页码: 61-70
ISSN:0271-2091
年代: 1983
DOI:10.1002/fld.1650030106
出版商: John Wiley&Sons, Ltd
关键词: Tides;Residual Currents;Finite Elements;Modal Separation
数据来源: WILEY
摘要:
AbstractFrom the linearized, time‐independent, constant depth, shallow water tidal equations in anf‐plane for a two‐layer estuary, two independent modal Helmholtz equations are derived. These modal equations are solved using a fifth‐degree finite element technique. The first and second space derivatives of the complex modal tidal elevations, and thus the modal currents and their first derivatives, are evaluated directly from the solution at each node of the finite element mesh.The Stokes drift, which is the major part of the residual tidal flow, is evaluated from these nodal values of the currents and their derivatives. Good agreement is obtained with the exact analytical solution for a wedge‐shaped estuary with a wedge angle of π/3, using a mesh of 64 equilateral triangles with sides approximately 1/10 of the wavelength 2πC2/σ of a Kelvin wave solution for the short‐w
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