vertical momentum eq. (rewritten)
DESCRIPTION
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!!!. - PowerPoint PPT PresentationTRANSCRIPT
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Vertical Momentum Eq. (rewritten)
(dynamic) + (buoyancy)
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Buoyancy is Scale-Dependent!!!
…real bubble in 3D simulation
![Page 3: Vertical Momentum Eq. (rewritten)](https://reader036.vdocuments.mx/reader036/viewer/2022081505/56815794550346895dc52855/html5/thumbnails/3.jpg)
Basic 2D Equations:
--
Or, more simply, consider the 2D horizontal vorticity equation:
where
⁄
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Buoyant Processes:
Buoyancy is Scale-Dependent!!!
![Page 5: Vertical Momentum Eq. (rewritten)](https://reader036.vdocuments.mx/reader036/viewer/2022081505/56815794550346895dc52855/html5/thumbnails/5.jpg)
Density Currents…Gravity Currents…Cold Pools
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Bernoulli Equation:
Horizontal Vorticity:
(in flux form)
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Density Current:
Theoretical speed of propagation:
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J. Fluid Mech. (1994)
von Karman:
Benjamin:
“On the dynamics of gravity currents in a channel”
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Bernoulli Equation:
Horizontal Vorticity:
(in flux form)
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“Optimal” condition for cold pool lifting
C/∆u > 1
C/∆u = 1
C/∆u < 1
RKW Theory
Rotunno et al. (JAS, 1988)
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Multicell:
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