Numerical Examples of Non-Dissipative Discontinuous Kinematic Waves in Open Channels

The kinematic wave model under the assumption of balanced gravity and friction forces has been applied in open channel hydraulics surface hydrology. There persists a severe misunderstanding that discontinuity occurs due to input then dissipates. This study clarifies can develop without dissipation smoothness all input. theory first-order quasilinear partial differential equations shows Cauchy problems for have unique measurable bounded solutions, which are possibly discontinuous. Numerical examples presented visualize fundamental properties discontinuous waves.