CAJ | 학술논문

以球面正压浅水方程显式能量守恒格式的设计为例,在不失动力学方程物理意义的情况下,给出南北极网格点上速度的表达式,以及其预报方程的差分格式.克服数学意义上的极点奇异问题,直接预报极点速度.数值试验表明,此方法简单易行,能合理描述极点速度及其变化.
이구면정압천수방정현식능량수항격식적설계위례,재불실동역학방정물리의의적정황하,급출남북겁망격점상속도적표체식,이급기예보방정적차분격식.극복수학의의상적겁점기이문제,직접예보겁점속도.수치시험표명,차방법간단역행,능합리묘술겁점속도급기변화.
There are two singularities in atmospheric governing equations under spherical coordinate system, and hence, velocity at the north and south poles can not be defined and predicted directly by grid-point atmospheric model. To solve this problem, a simple approach is presented, and an explicit square conservation scheme in A-grid for shallow water model is chosen as an example. The new approach defines pole velocity and sets up a difference equation. The new model can predict pole velocity directly, and the numerical experiment shows that the results are reasonable.