The shallow-water equations and pollutant convective-diffusive equation are transformed into curvilinear coordinate system. The anisotropic algebraic-stress turbulent model is introduced to simulate the turbulence items, and algebraic-stress turbulent model of planar 2-D pollutant convection-diffusion in curvilinear coordinates is built. The meandering channel with measured data of concentration in lab is adopted to validate the model. The comparison between the distribution figure of pollutant concentration field calculated through this model and that of the k-ε model shows the model in the paper is superior to k-ε turbulent model in dealing with anisotropy.