A new class of fully nonlinear and weakly dispersive Green–Naghdi models for efficient 2D simulations

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A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations

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A splitting approach for the fully nonlinear and weakly dispersive Green–Naghdi model

The fully nonlinear and weakly dispersive Green–Naghdi model for shallow water waves of large amplitude is studied. The original model is first recast under a new formulation more suitable for numerical resolution. An hybrid finite volume and finite difference splitting approach is then proposed, which could be adapted to many physical models that are dispersive corrections of hyperbolic system...

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A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model

The fully nonlinear and weakly dispersive Green-Naghdi model for shallow water waves of large amplitude is studied. The original model is first recast under a new formulation more suitable for numerical resolution. An hybrid finite volume and finite difference splitting approach is then proposed. The hyperbolic part of the equations is handled with a high-order finite volume scheme allowing for...

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ژورنال

عنوان ژورنال: Journal of Computational Physics

سال: 2015

ISSN: 0021-9991

DOI: 10.1016/j.jcp.2014.11.016