FINITE DIFFERENCE FORMULATIONS OF KINEMATIC EQUATIONS

摘要

The accuracy of finite-difference solutions to the kinematic equations for runoff modeling is affected when numerical diffusion or instability occurs. The effect of grid ratio and the spatial and temporal weighting coefficients in four-point difference schemes are discussed. Inaccuracies resulting from numerical diffusion are related to the temporal weighting coefficient, and a variable coefficient is suggested to eliminate uncontrolled numerical diffusion. The occurrence of parasitic waves is investigated.