The Importance of Reasonable Numerical Schemes in Lake Circulation Simulation

Three difference methods ‐ two traditional central and upstream difference schemes (CDS and UDS) and a highresolution total variation diminishing (TVD) method ‐ are applied to discretize the one‐dimensional advection problem as well as the advection terms in the three‐dimensional advection‐diffusion lake circulation problem. It is demonstrated that the choice of reasonable numerical schemes is fairly importance. The traditional numerical treatments with respect of the advection terms in the lake dynamical equations are fairly arguable, although they are still most frequently employed in lake circulation models, and the TVD technique is most preferable and reasonable.