地球物理流大涡模拟的随机参数化
Stochastic parameterization for large eddy simulation of geophysical flows
摘要：
最近，随机的，而不是确定性的，参数化正在研究未解决的亚网格尺度（SGS）的影响，在大涡模拟（LES）的地球物理流模型。我们分析了正压涡度方程中的这种随机方法，表明：（i）如果随机参数化近似实际SGS应力，则随机LES的解在适当的尺度尺寸下近似于“真实”解;以及（ii）当过滤尺度尺寸接近零时，随机LES的解接近于真实解。
英文摘要：
Recently, stochastic, as opposed to deterministic, parameterizations are being investigated to model the effects of unresolved subgrid scales (SGS) in large eddy simulations (LES) of geophysical flows. We analyse such a stochastic approach in the barotropic vorticity equation to show that (i) if the stochastic parameterization approximates the actual SGS stresses, then the solution of the stochastic LES approximates the "true" solution at appropriate scale sizes; and that (ii) when the filter scale size approaches zero, the solution of the stochastic LES approaches the true solution.
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