Errors of kinematic-wave and diffusion-wave approximations for steady-state overland flows Academic Article uri icon


  • 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.

published proceedings

  • Catena

author list (cited authors)

  • Singh, V. P., & Aravamuthan, V.

citation count

  • 23

complete list of authors

  • Singh, VP||Aravamuthan, V

publication date

  • October 1996

published in