一个全球变网格多层原始方程差分模式的设计

文章设计了一个以均匀网格差分模式为基础的全球变网格多层原始方程差分模式。还证明了如果前者满足了一定条件，从而具有质量与能量守恒性质以及与连续情况一致的动能、位能和表面位能之间的转换关系，则变网格模式也同样具有。而且，把前者改变为后者增加的运算量很小，也非常方便。

Design of a Global Gridpoint Multilevel Primitive Equation Difference Model with Variable Resolution

Based upon an even gridpoint difference model, a global gridpoint multilevel primitive equation difference model with variable resolution has been designed. It is shown that in the adiabatic and inviscid case, if the former model satisfies certain conditions, and can be proved to be mass and energy conserving, and has consistent conversions between kinetic energy, potential energy and surface potential energy in the continuous case, the latter model also has similar properties. Furthermore, it is quite convenient to transform the former model into the latter one, and the amount of extra work is small.