In the given work the finite-difference presentation is proposed, that describes the Coriolis force in numerical Godunov-type methods for rotating shallow water flows. The finite-difference schemes are offered for simulating the flows, both on a smooth underlying surface, and for underlying surface of arbitrary profile. The Coriolis force effect is simulated by introducing the fictitious non-stationary boundary. For numerical approximation of source terms, caused by inhomogeneity of underlying surface and Coriolis force effect, the quasi-two-layer model of fluid flow over a stepwise boundary is applied, that takes into account hydrodynamic features. The calculations showing the efficiency of the proposed method are carried out.

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