TITLE:
A Central Numerical Scheme to 1D Green-Naghdi Wave Equations
AUTHORS:
Kezhao Fang, Zifeng Jiao, Jing Yin, Jiawen Sun
KEYWORDS:
Green-Naghdi Equations, Finite-Volume Method, Solitary Wave
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.8,
August
26,
2015
ABSTRACT: 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.