Influence of the Advection Term Approximation on Computed Tidal Propagation and Circulation

by Jan J. Leendertse

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This Note is one of a series documenting experiments conducted to resolve questions about the accuracy of two-dimensional models, the consequences of certain of their assumptions, and the adequacy of the numerical approximation procedures. The Note investigates the influence of the advection term approximation on computed tidal propagation and tide-induced residual circulation. The spatial representation of the advection term has considerable influence on computed tidal propagation. Inclusion of this term reduces the energy in the semi-diurnal tide and transfers it to other modes. The most primitive approximation appears to be the most effective. The spatial representation of the advection term influences the computed intensities of the tidal-induced residual circulations. The experiments show that these circulations are mainly induced by advection. The choice of approximation of the advection term near land-water boundaries influences the tidal propagation.

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