Abstract: A stable and well-balanced finite volume method was proposed to solve the shallow water equations coupled with a sediment transport equation. An approximate Riemann solver with a monotone upstream-centered schemes for ...

Abstract: Undular bores and shocks generated by dam-break flows or tsunamis are examined considering nonhydrostatic pressure and dispersive effects in one- and two-horizontal-dimensional space. The fully nonlinear Boussinesq-type ...

Abstract: Although many numerical techniques such as approximate Riemann solvers can be used to analyze subcritical and supercritical flows modeled by hyperbolic-type shallow-water equations, there are some difficulties in practical ...

Abstract: A numerical model describing two-dimensional fluid motions has been developed on an unstructured grid system. By using a fractional step method, a two-dimensional problem governed by the two-dimensional shallow-water ...