Pressure gradient errors in a covariant method of implementing the σ-coordinate: idealized experiments and geometric analysis |
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作者姓名: | LI Jin-Xi LI Yi-Yuan WANG Bin |
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作者单位: | State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics,Chinese Academy of Sciences;College of Earth Science, University of Chinese Academy of Sciences;Ministry of Education Key Laboratory for Earth System Modeling, and Center for Earth System Science, Tsinghua University |
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基金项目: | supported by the National Basic Research Program of China(973 Program)[grant number 2015CB954102];the National Natural Science Foundation of China[grant number41305095],[grant number 41175064] |
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摘 要: | 本文针对经典σ坐标的气压梯度误差(PGF误差),采用多种地形展开理想试验,对比经典σ坐标的经典方案和协变方案的PGF误差。结果表明:计算空间中,协变方案始终能减小经典方案的误差,地形越陡,效果越明显。然而,几何分析和理想试验均表明:协变方案仅能减小计算空间的误差,不能减小物理空间的误差;相比经典方案,正交地形追随坐标能同时减小计算空间和物理空间的误差。
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关 键 词: | 气压梯度误差 协变方案 陡峭地形 计算空间和物理空间 几何分析 正交地形追随坐标 |
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