In the limit of layer thickness becoming small, the Bulk Richardson number approaches the Gradient Richardson number, for which a critical Richardson number is roughly Ri c = 0.25.
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This results in uncertainty of our prediction of the occurrence of turbulence, and now one must use an artificially large value of the critical Richardson number to give reasonable results using our smoothed gradients.
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In meteorology, instability can be described by various indices such as the Bulk Richardson Number, lifted index, convective available potential energy ( CAPE ), the Showalter, and the Vertical totals.
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