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A fourth-order C-bracket scheme for nonlinear shallow-water sloshing in an oscillating tank with non-periodic inflow-outflow boundary conditions and biharmonic dissipation

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The second-order energy- and potential-enstrophy-conserving numerical scheme introduced by Arakawa & Lamb (1981) for the shallow-water equations with periodic boundary conditions, and extended by Salmon (2004) in the context of Hamiltonian Poisson-bracket disc... ...