Energy and Numerical Weather Prediction
Energy and Numerical Weather Prediction
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DOI：
10.3402/tellusa.v12i4.9420
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发表时间：
1960-11
期刊：
影响因子：
--
通讯作者：
E. Lorenz
中科院分区：
文献类型：
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作者：
E. Lorenz
由于能量变换的研究和简化方程的数值积分有时被用作同一物理问题的替代方法，因此通常希望简化方程在可逆绝热过程下保持总能量。优选地，方程还应保持动能和可用势能的总和，并且它们应描述随着动能释放而增加的静态稳定性的趋势。结果表明，如果用平衡方程作滤波近似，则涡度方程中涉及风场旋转和辐散部分的所有项都应保留，而如果用地转方程，则涡度方程中的所有项都应省略，以便使方程具有合适的能量不变量。开发了具有适当能量不变量的n层模型。双层模型可能是具有可变静态稳定性的最简单的可能模型。该模式适合于大气环流的理论研究。DOI：10.1111/j.2153-3490.1960.tb01323.x
Since the study of energy transformations and the numerical integration of simplifiied equations are sometimes used as alternative approaches to the same physical problem, it is often desirable that the simplified equations conserve total energy under reversible adiabatic processes. Preferably, the equations should also conserve the sum of kinetic energy and available potential energy, and they should describe the tendency for static stability to increase as kinetic energy is released. It is found that if the equation of balance is used as a filtering approximation, all the terms in the vorticity equation which involve both the rotational and the divergent part of the wind field should be retained, while, if the geostrophic equation is used, all of these terms in the vorticity equation should be omitted, if the equations are to possess suitable energy invariants. An n-layer model with the appropriate energy invariants is developed. The two-layer model may be the simplest possible model with variable static stability. The model appears to be suitable for theoretical studies of the general circulation. DOI: 10.1111/j.2153-3490.1960.tb01323.x