A numerical scheme based on hybrid central
finite-volume and finite-difference method is presented to model Green-Naghdi
water wave equations. The governing equations are reformulated into the
conservative form, and the convective flux is estimated using a Godunov-type
finite volume method while the remaining terms are discretized using finite
difference method. To enhance the robustness of the model, a central-upwind flux
evaluation and a well-balanced non- negative water depth construction are
incorporated. Numerical tests demonstrate that present model has the advantages
of stability preserving and numerical efficiency.
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