Analysis of Parallel versus Sequential Splittings for Time-Stepping Physical Parameterizations
Analysis of Parallel versus Sequential Splittings for Time-Stepping Physical Parameterizations
复制标题
时间步进物理参数化的并行与顺序分裂分析
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
A. Staniforth
中科院分区：
文献类型：
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作者：
M. Dubal;N. Wood;A. Staniforth
摘要研究了数值天气预报和气候模式中物理参数化时间推进的不同方法所涉及的各种数值问题。在简单模型方程的背景下解释和分析了并行分割和顺序分割方法。如果时间步长很大（半隐式半拉格朗日模型中通常使用的大小），则使用分裂技术产生的项会产生错误的解。特别是在稳态的解决方案中的错误进行检查，因为这些可能会导致系统偏差和气候漂移。分裂的方法，然后应用到一个多时间尺度的问题。对于大的时间步长，一个有用的计划应该产生一个精确的离散表示的简化系统，其中快速模式删除。并行分裂可能是有限的使用，因为只有明确的版本模型减少系统没有分裂错误，但这样的版本不能稳定地集成快速模式与可接受的大时间步长。在一个数字…
Abstract Various numerical issues concerning different approaches to the time stepping of physical parameterizations in numerical weather prediction (NWP) and climate models are examined. Parallel-split and sequential-split methods are explained and analyzed in the context of simple model equations. Terms arising from the use of splitting techniques produce erroneous solutions if the time step is large (of the size typically used in semi-implicit semi-Lagrangian models). Errors in steady-state solutions are examined in particular, as these may lead to systematic biases and climate drift. Splitting methods are then applied to a multiple timescale problem. For large time steps, a useful scheme should produce an accurate discrete representation of the reduced system, which has fast modes removed. Parallel splitting may be of limited use because only explicit versions model reduced systems without splitting errors, but such versions cannot stably integrate fast modes with acceptably large time steps. In a num...