We present a new numerical scheme that is a well-balanced and second-order accurate for
systems of shallow water equations (SWEs) with variable bathymetry. We extend in this …

The shallow water equations are numerically solved to simulate free surface flows. The
convective flux terms in the shallow water equations need to be discretized using a Riemann …

Abstract The Saint-Venant equations are numerically solved to simulate free surface flows in
one dimension. A Riemann solver is needed to compute the numerical flux for capturing …

Green Island located in the typhoon active eastern Taiwan coastal water is the potential
Kuroshio power plant site. In this study, a high resolution (250–2250 m) shallow-water …

In this paper, a meshless method based on finite point set is presented for solving the
biharmonic equation with simply supported boundary condition. The biharmonic equation is …

The numerical method for the conservation laws with discontinuous flux in space is
considered. The difficulty in designing a high-order accurate and maintaining an efficient …

Green Island, located in the typhoon-active eastern Taiwan coastal water, is the potential
Kuroshio power plant site. In this study, a high resolution (250–2250 m) shallow-water …

In this paper, a meshfree numerical scheme, which is based on the reproducing kernel
particle method (RKPM), is proposed to solve the shallow water equations (SWEs). By …

To develop a numerical method for global geophysical fluids, we usually need to choose a
spherical grid and numerical approximations to represent the partial derivative equations …

Green Island locates in the typhoon active southeastern Taiwan coastal water. A high
resolution (250–2250 m) shallow-water flow model is used to investigate the effect of …