Vertical Momentum Eq. (rewritten) (dynamic) + (buoyancy)

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Presentation transcript:

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: