Stabilizing Fast Waves

Stabilizing Fast Waves
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稳定快波

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发表时间:
2011
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通讯作者:
D. Durran
D. Durran
中科院分区:
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作者:
D. Durran

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大气层以各种速度传输波状信号。快速移动的、物理上微不足道的波可以对数值方法施加非常严格的时间步长限制,以确保积分保持稳定。例如,声波传播速度非常快,但基本上没有气象意义,并且使用精确稳定的声波积分所需的非常短的时间步长来模拟大多数大气环流是不切实际的。本章回顾了规避此类时间步长限制的技术,从而允许选择步长以确保解决方案的物理重要组成部分的准确性和稳定性。
The atmosphere transmits wavelike signals at a wide range of speeds. Rapidly moving, physically insignificant waves can impose very strict time-step limitations on numerical methods in order to ensure the integrations remain stable. Sound waves, for example, travel very rapidly but are of essentially no meteorological significance, and it is not practical to simulate most atmospheric circulations using the very short time steps required for the accurate and stable integration of the sound waves. This chapter reviews techniques for circumventing such time step restrictions, thereby allowing the step size to be chosen to ensure the accuracy and stability of the physically significant components of the solution.