%0 Journal Article
%T A Central Numerical Scheme to 1D Green-Naghdi Wave Equations
%A Kezhao Fang
%A Zifeng Jiao
%A Jing Yin
%A Jiawen Sun
%J Journal of Applied Mathematics and Physics
%P 1032-1037
%@ 2327-4379
%D 2015
%I Scientific Research Publishing
%R 10.4236/jamp.2015.38127
%X <p class=\"MsoNormal\">
	<span lang=\"EN-US\">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.</span>
</p>
%K Green-Naghdi Equations
%K Finite-Volume Method
%K Solitary Wave
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=59115