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A high-order conservative collocation scheme and its application to global shallow-water equations
conservative collocation scheme global shallow-water equations
2015/3/5
In this paper, an efficient and conservative collocation method is proposed and used to develop a global
shallow-water model. Being a nodal type high-order scheme,
the present method solves th...
Traveling wave solutions of WBK shallow water equations by differential transform method
Differential transform method (DTM) Whitham–Broer–Kaup equations Approximate long wave equation
2010/11/25
By using differential transform method (DTM) to coupled Whitham–Broer–Kaup (WBK), we find the explicit traveling wave solutions of WBK equations in the form of a convergent polynomial series. In addit...
Analytical Solutions for Circular Eddies of the Reduced-Gravity, Shallow-Water Equations
Circular Eddies Shallow-Water Equations Reduced-Gravity
2008/10/29
New analytical, circular eddy solutions of the nonlinear, reduced-gravity, shallow-water equations in a rotating system are presented. While previous analytical solutions were limited to the descripti...