Modified Kinematic Model: Application to Bed Forms

Abstract

The kinematic wave theory originally developed for flood routing purposes is generalized in such a way that kinematic‐dynamic couplings are accounted for due to various forces. The equations of continuity for water and sediment are transformed into a typical mass transport equation including convection, diffusion, and source terms. Each of these terms is shown to represent dynamic contributions of certain forces on the kinematics of the motion. The theory is used to explain various aspects of bed form phenomena. A numerical modeling method based on the proposed dynamic wave equation is suggested.