A Non-Iterative Procedure for the Time Integration of the Balance Equations
A Non-Iterative Procedure for the Time Integration of the Balance Equations
复制标题
平衡方程时间积分的非迭代过程
DOI：
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发表时间：
1982
期刊：
影响因子：
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通讯作者：
R. Daley
中科院分区：
文献类型：
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作者：
R. Daley
摘要 Gent 和 McWilliams (1982) 最近的工作表明，在复杂性介于准地转方程 (QG) 和原始方程 (PE) 之间的所有模型中，平衡方程 (BE) 与 PE 标准相比具有最佳性能。由于可解性条件的问题以及每个时间步迭代的明显必要性，BE 系统 [和更简单的线性平衡方程 (LBE)] 在过去 30 年中很少被集成。本文提出了一种用于 BE 和 LBE 系统时间积分的非迭代过程。该程序在球体上的正压（垂直积分）方程上进行了测试。将高分辨率 BE、LBE 和 QG 积分与使用观测数据初始化的对照 PE 积分进行比较。仔细监测各种模型中误差随时间、纬度和尺度变化的增长情况。 BE 方程的高精度得到了证实。
Abstract Recent work by Gent and McWilliams (1982) suggests that of all models intermediate in complexity between quasi-geostrophic (QG) and primitive equation (PE), the balance equations (BE) have the best performance when compared with the standard of the PE. The BE system [and the simpler linear balance equations (LBE)] have been infrequently integrated during the past 30 years because of problems with solvability conditions and the apparent necessity for iteration each timestep. The present article proposes a non-iterative procedure for the time integration of the BE and LBE systems. The procedure was tested on the barotropic (vertically integrated) equations on the sphere. High-resolution BE, LBE and QG integrations were compared with a control PE integration initialized with observed data. The growth of error in the various models as a function of time, latitude and scale was carefully monitored. The high accuracy of the BE equations was confirmed.