Implementation of the TOPKAPI model in South Africa: Initial results from the Liebenbergsvlei catchment

Abstract

This free software was chosen mainly as it is suited for the management of large data arrays and because it can be extended and interfaced with many other existing languages (FORTRAN, C, C++, etc.). This feature is especially useful for resolving speed bottlenecks in computationally demanding routines. TOPKAPI algorithm For each cell, at each simulation time-step t, the inflow rate is computed, assumed to be a constant over the interval Δt, then the ODE equation is solved by numerical integration (see section ‘ODE solution algorithm’). In Table 1 all the variables that are computed for each reservoir from the ODE finite difference solution showing theres ervoir and cell connectivity are reported. Table 1 is associated with Fig. 1 which illustrates the fluxes and connections for a typical modelled cell. At t+Δt, the evapotranspiration losses are then either extracted from the channel as well as from the overland flows if the cell is saturated or from the soil store alone if the demand is not satisfied by the overland storage.

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