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Vertical Momentum Eq. (rewritten)
(dynamic) + (buoyancy)
Buoyancy is Scale-Dependent!!!
…real bubble in 3D simulation
Basic 2D Equations:
--
Or, more simply, consider the 2D horizontal vorticity equation:
where
⁄
Buoyant Processes:
Buoyancy is Scale-Dependent!!!
Density Currents…Gravity Currents…Cold Pools
Bernoulli Equation:
Horizontal Vorticity:
(in flux form)
Density Current:
Theoretical speed of propagation:
J. Fluid Mech. (1994)
von Karman:
Benjamin:
“On the dynamics of gravity currents in a channel”
Bernoulli Equation:
Horizontal Vorticity:
(in flux form)
“Optimal” condition for cold pool lifting
C/∆u > 1
C/∆u = 1
C/∆u < 1
RKW Theory
Rotunno et al. (JAS, 1988)
Multicell:
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