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A Central Numerical Scheme to 1D Green-Naghdi Wave Equations

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DOI: 10.4236/jamp.2015.38127    2,589 Downloads   2,970 Views


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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Fang, K. , Jiao, Z. , Yin, J. and Sun, J. (2015) A Central Numerical Scheme to 1D Green-Naghdi Wave Equations. Journal of Applied Mathematics and Physics, 3, 1032-1037. doi: 10.4236/jamp.2015.38127.

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