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Vertical Momentum Eq. (rewritten)

Vertical Momentum Eq. (rewritten). (dynamic) + (buoyancy). …real bubble in 3D simulation. Buoyancy is Scale-Dependent!!!. Basic 2D Equations:. ⁄. --. Or, more simply, consider the 2D horizontal vorticity equation:. where. Buoyant Processes:. Buoyancy is Scale-Dependent!!!.

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Vertical Momentum Eq. (rewritten)

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

  2. …real bubble in 3D simulation Buoyancy is Scale-Dependent!!!

  3. Basic 2D Equations: ⁄ -- Or, more simply, consider the 2D horizontal vorticity equation: where

  4. Buoyant Processes: Buoyancy is Scale-Dependent!!!

  5. Density Currents…Gravity Currents…Cold Pools

  6. Bernoulli Equation: Horizontal Vorticity: (in flux form)

  7. Density Current: Theoretical speed of propagation:

  8. J. Fluid Mech. (1994) “On the dynamics of gravity currents in a channel” von Karman: Benjamin:

  9. Bernoulli Equation: Horizontal Vorticity: (in flux form)

  10. RKW Theory Rotunno et al. (JAS, 1988) C/∆u > 1 “Optimal”condition for cold pool lifting C/∆u = 1 C/∆u < 1

  11. Multicell:

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