A model for predicting SST in limited region-Ⅰ. The dynamical equations

Starting from physical oceanology characteristics of the China seas and for the short-term operational prediction of SST in the region,a two-dimensional (vertically integrated) primitive equation model,physically reasonable and operationally feasible,on the upper mixed layer is constructed and given here,which consists of three parts,the nondivergent residual current (the monthly mean field of the Kuroshio and its branches) equations,the dynamic forecasting equations,and the equation of model's physics consisting of surface heat flux,coolings of the upper mixed layer due to the Ekman pumping and the entrainment by gale.This model may be used primarily to forecast the sea surface temperature,and to give estimations of the mean wind-driven current and the sea level,for a period of 3-5 d.In part 1 of this series,the physical conditions for establishing model equations are discussed first,that is,1.the existence of the upper well mixed layer in the region; 2.the distinguishability of currents 3.the splitting of thermodynamical equation.The equations of nondivergent residual current,and the dynamic forecasting equations with initial values and boundary conditions are also discussed.