The preliminary results from a two-dimensional two-layer nonlinear shallow water model are presented. The system is composed of two inviscid, incompressible, and immiscible fluids of constant density. The waves are assumed to be nonlinear and non-dispersive and the water depth is assumed to be constant. A high order predictor-corrector algorithm with a high order finite difference discretization, accurate to O(Δx4) is developed. The numerical algorithm and the boundary conditions are outlined and the model is compared with the analytical solution of internal solitary waves.

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