再论水平和垂直分辨率之间的协调

FURTHER STUDIES OF CONSISTENT HORIZONTAL AND VERTICAL RESOLUTION

中文关键词:  平流方程  ω方程  协调的水平和垂直分辨率

英文关键词:Advection equation  urequation  Consistent horizontal and vertical resolution

中文摘要:

      在计算域面积为常数的约束下,给出了几种不同精度的平流方程和ω方程的“最优垂直网格距”,以及在极限情况下的“协调垂直网格距”的表达式。还讨论了在水平和垂直分辨率不协调时数值解对能量传播和计算稳定性的影响。

英文摘要:

      Subject to constant computational area, two expressions of the optimal vertical grid length with different accuracies and an expression of the consistent vertical grid length for the advection equation and cerequation were presented in the case of a single wave. And the corresponding expressions of consistent vertical grid length in the multiwave case was derived. Finally. a discussion has been made on the impact of the inconsistency of horizontal and vertical resolution on energy propagation and computational stability of the numerical solution.