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A structure-preserving approximation of the discrete split rotating shallow water equations

A structure-preserving approximation of the discrete split rotating shallow water equations

<p>We introduce an efficient split finite element (FE) discretization of a y-independent (slice) model of the rotating shallow water equations. The study of this slice model provides insight towards developing schemes for the full 2D case. Using the split Hamiltonian FE framework [1,2], we result in structure-preserving discretizations that are …