Slow Manifolds and Multiple Equilibria in Stratocumulus-Capped Boundary Layers

In marine stratocumulus-capped boundary layers under strong inversions, the timescale for thermodynamic adjustment is roughly a day, much shorter than the multiday timescale for inversion height adjustment. Slow-manifold analysis is introduced to exploit this timescale separation when boundary layer...

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Main Authors: Junya Uchida, Christopher Bretherton, Peter N Blossey
Format: Article
Language:English
Published: American Geophysical Union (AGU) 2010-12-01
Series:Journal of Advances in Modeling Earth Systems
Subjects:
Online Access:http://james.agu.org/index.php/JAMES/article/view/v2n14
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author Junya Uchida
Christopher Bretherton
Peter N Blossey
author_facet Junya Uchida
Christopher Bretherton
Peter N Blossey
author_sort Junya Uchida
collection DOAJ
description In marine stratocumulus-capped boundary layers under strong inversions, the timescale for thermodynamic adjustment is roughly a day, much shorter than the multiday timescale for inversion height adjustment. Slow-manifold analysis is introduced to exploit this timescale separation when boundary layer air columns experience only slow changes in their boundary conditions. Its essence is that the thermodynamic structure of the boundary layer remains approximately slaved to its inversion height and the instantaneous boundary conditions; this slaved structure determines the entrainment rate and hence the slow evolution of the inversion height. Slow-manifold analysis is shown to apply to mixed-layer model and large-eddy simulations of an idealized nocturnal stratocumulus- capped boundary layer; simulations with different initial inversion heights collapse onto single relationships of cloud properties with inversion height. Depending on the initial inversion height, the simulations evolve toward a shallow thin-cloud boundary layer or a deep, well-mixed thick cloud boundary layer. In the large-eddy simulations, these evolutions occur on two separate slow manifolds (one of which becomes unstable if cloud droplet concentration is reduced). Applications to analysis of stratocumulus observations and to pockets of open cells and ship tracks are proposed.
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spelling doaj.art-2be0fea5fc1f40baaccb10dca12a200e2022-12-22T00:42:50ZengAmerican Geophysical Union (AGU)Journal of Advances in Modeling Earth Systems1942-24662010-12-012Art. # 1420 pp.10.3894/JAMES.2010.2.14Slow Manifolds and Multiple Equilibria in Stratocumulus-Capped Boundary LayersJunya UchidaChristopher BrethertonPeter N BlosseyIn marine stratocumulus-capped boundary layers under strong inversions, the timescale for thermodynamic adjustment is roughly a day, much shorter than the multiday timescale for inversion height adjustment. Slow-manifold analysis is introduced to exploit this timescale separation when boundary layer air columns experience only slow changes in their boundary conditions. Its essence is that the thermodynamic structure of the boundary layer remains approximately slaved to its inversion height and the instantaneous boundary conditions; this slaved structure determines the entrainment rate and hence the slow evolution of the inversion height. Slow-manifold analysis is shown to apply to mixed-layer model and large-eddy simulations of an idealized nocturnal stratocumulus- capped boundary layer; simulations with different initial inversion heights collapse onto single relationships of cloud properties with inversion height. Depending on the initial inversion height, the simulations evolve toward a shallow thin-cloud boundary layer or a deep, well-mixed thick cloud boundary layer. In the large-eddy simulations, these evolutions occur on two separate slow manifolds (one of which becomes unstable if cloud droplet concentration is reduced). Applications to analysis of stratocumulus observations and to pockets of open cells and ship tracks are proposed.http://james.agu.org/index.php/JAMES/article/view/v2n14Cloud-Topped Boundary LayersAerosol-Cloud Interaction
spellingShingle Junya Uchida
Christopher Bretherton
Peter N Blossey
Slow Manifolds and Multiple Equilibria in Stratocumulus-Capped Boundary Layers
Journal of Advances in Modeling Earth Systems
Cloud-Topped Boundary Layers
Aerosol-Cloud Interaction
title Slow Manifolds and Multiple Equilibria in Stratocumulus-Capped Boundary Layers
title_full Slow Manifolds and Multiple Equilibria in Stratocumulus-Capped Boundary Layers
title_fullStr Slow Manifolds and Multiple Equilibria in Stratocumulus-Capped Boundary Layers
title_full_unstemmed Slow Manifolds and Multiple Equilibria in Stratocumulus-Capped Boundary Layers
title_short Slow Manifolds and Multiple Equilibria in Stratocumulus-Capped Boundary Layers
title_sort slow manifolds and multiple equilibria in stratocumulus capped boundary layers
topic Cloud-Topped Boundary Layers
Aerosol-Cloud Interaction
url http://james.agu.org/index.php/JAMES/article/view/v2n14
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AT christopherbretherton slowmanifoldsandmultipleequilibriainstratocumuluscappedboundarylayers
AT peternblossey slowmanifoldsandmultipleequilibriainstratocumuluscappedboundarylayers