Errors of kinematic-wave and diffusion-wave approximations for steady-state overland flows
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Steady-state flows occur in a variety of geophysical processes. Their mathematical treatment is usually based on either the dynamic-wave equations or their approximations-kinematic wave and diffusion wave. Errors of these approximations were derived for steady-state cases of overland flow under the zero depth-gradient at the downstream boundary condition. Although both the diffusion-wave and the kinematic-wave approximations were found to be in good agreement with the dynamic wave representation lot a range of flow conditions, their error greatly depended on the parameter KF 0 / 2 where K is the kinematic-wave number and F 0 is the Froude number. In general, the diffusion wave approximation was superior to the kinematic wave approximation.
author list (cited authors)
Singh, V. P., & Aravamuthan, V.
complete list of authors
Singh, VP||Aravamuthan, V