2014 年 70 巻 4 号 p. I_55-I_60
Shallow water models, which assume the incompressibility of water and hydrostatic pressure distribution, serve as effective mathematical tools to describe dynamics of surface water flows. The 2-D shallow water equations (2-D SWEs) are among the most effective one. Solutions to the 2-D SWEs are sensitive to the choice of the friction slopes, the terms for turbulence and friction forces on side-walls. This paper carries out comparative numerical analysis on two Manning's friction slope formulae, a conventional water depth-based one and a hydraulic radius-based one, in order to see their influences on the solutions to the 2-D SWEs. Computational results of the hydraulic bores reveal relatively high accuracy of the hydraulic radius-based formula compared to the water depth-based counterpart.