【摘要】 在本文中引进了圆弧元素,使网格区域和南、北半球完全重合,导出了构造Arakawa格式的通用方法,并且证明了导出的Arakawa格式推广是真正严格满足三个守恒关系式的。本文还证明了此格式在网格结点上具有O(h)的局部逼近误差。引进圆弧元素的方法无论对求解原始方程或是过滤方程都具有实际意义。更多还原

【Abstract】 The triangular elements with a circular side are used to coincide the mesh region with the Northern and Southern Hemisphere, and derived a general method of construction of the Arakawa scheme. We have proved that the generalized Arakawa scheme which we derived here really satisfies the three conservative relations strictly. We have also proved that this scheme has local approximation error O(h) at every grid point of the mesh. The method of triangular elements with circular side is meaningful in practice for solving both primitive equations and filtered equations.更多还原