Two-Dimensional Tidally Averaged Estuarine Model

The governing equations are the hydrodynamics equations coupled with the transport equation. The effect of the density gradient is included in the model which requires simultaneous solutions for all variables. The tidally averaged solutions and the associated numerical scheme are verified by solutions obtained from a corresponding transient model where long term integration is performed to reach a dynamic steady-state condition. The proposed model can be utilized to: (1)obtain dynamic steady-state solutions directly without performing long term integrations over time; and (2)serve as an efficient forward solution scheme for parameter identification, since parameters imbedded in the governing equations, such as the roughness coefficients, are essentially time-invariant. The tidally averaged model is derived under the assumption that amplitudes of the transient variables are small in magnitudes.