Abstract:
The numerical method for studying hydrodynamic flows over an arbitrary bed profile in the presence of external force is proposed in this paper. The arbitrary bed profile is approximated by a piecewise constant function separating it into a finite number of domains with a stepwise boundary. For implementing the mentioned method and to take into account the external force effect the quasi-two-layer model of hydrodynamic flows over a stepwise boundary is used with regard to features of flow near the step. Based on the proposed algorithm, the numerical simulation of various physical phenomena, such as a breakdown of the rectangular fluid column over an inclined plane, the large-scale motion of fluid in the gravitational field in the presence of Coriolis force over an underlying mountain-like surface, is performed. Computations are made for two dimensional dam-break problem on slope and good agreement with laboratory experiments is obtained.