Full nonlinear dispersion model of shallow water equations on a rotating sphere

被引：0
|
作者：
Z. I. Fedotova
G. S. Khakhimzyanov
机构：
[1] Russian Academy of Sciences,Institute of Computational Technologies, Siberian Branch
来源：
Journal of Applied Mechanics and Technical Physics | 2011年 / 52卷
关键词：
surface waves; ideal incompressible fluid flow; free boundary; nonlinear dispersion equations; shallow water equations on a sphere;
D O I：
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中图分类号：
学科分类号：
摘要：
Nonlinear dispersion shallow water equations are derived, which describe propagation of long surface waves on a spherical surface with allowance for rotation of the Earth and mobility of the ocean bottom. Derivation of these equations is based on expanding the solution of hydrodynamic equations on a sphere in small parameters depending on the relative thickness of the water layer and dispersion of surface waves.
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页码：865 / 876
页数：11
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