Vflo™ 6 introduces an enhanced solver for the kinematic wave analogy (KWA). The numerical solution of the KWA for overland and channel cells is performed within Vflo™ using a finite element solution in space and finite difference approximation in time (Vieux et al., 1988)1. Discretization of a real world basin into a network of connected finite elements requires assumptions concerning the interconnectivity at each junction of nodes. Vflo™ 6 has an enhanced method for approximating the and
terms for overland and channel flow respectively. The previous formulation had introduced dispersion into the model solution. This had the benefit that the model was more tolerant of discontinuities in rating curve cells. However, this dispersion could lead to reduced kinematic wave speeds in steep basins. The reduced wave speed may have been handled in existing models by decreasing Manning's roughness values for channel cells.
The basic steps in migrating basin models developed in earlier versions of Vflo™ for use with the new solver included Vflo™ 6 are as follows: