“…The models of shallow water are successfully applied for calculation of a wide range of geophysical currents including the dynamics of surface and groundwater, landslides [1], torrential flows [2,3], the pyroplastic and granular masses movement [4], the simulation of large-scale atmospheric, sea and ocean currents [5], and the technospheric security problems [6,7]. To simulate the dynamics of channel and floodplain currents in the shallow water models, it is essential accounting for the hydraulic resistance [8,9,10,11,12].…”