Further Discussions on the Design of a Global Multilevel Primitive Equation Gridpoint Model with Variable Resolution
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摘要: 在修正的MM4和一个有限域变网格差分模式的基础上,设计了全球变网格多层原始方程差分模式。可以证明:设计的模式具有质量、能量守恒等整体性质,并具有正确的动、位能转换关系。为了克服高纬地区经线辐合带来的时间步长须取得很小的问题,给出了不进行滤波处理并仍能保持整体性质的解决办法。
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关键词:
- 全球变网格;
- 多层原始方程差分模式;
- 质量守恒;
- 能量守恒;
- 动位能转换关系
Abstract: Based on a modified MM4 and a limited-area variable resolution gridpoint model, a global multilevel primitive equation gridpoint model with variable resolution has been formulated. It can be proved that the model possesses the integral properties such as mass and energy conservation, and correct transformation between kinetic energy and complete potential energy. In order to overcome the difficulties caused by the fact that the time step chosen should be very small due to the confluent meridians in high-latitudes, a settlement of the problem without filtering waves is suggested, with which the integral properties could be preserved.
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