The Vertical Momentum Budget of Shallow Cumulus Convection

Insights From a Lagrangian Perspective

Yang Tian, Zhiming Kuang, Martin S. Singh, Ji Nie

Research output: Contribution to journalArticleResearchpeer-review

Abstract

A Lagrangian Particle Dispersion Model is embedded into large eddy simulations to diagnose the responses of shallow cumulus convection to a small-amplitude large-scale temperature perturbation. The Lagrangian framework allows for a decomposition of the vertical momentum budget and diagnosis of the forces that regulate cloudy updrafts. The results are used to shed light on the parameterization of vertical velocity in convective schemes, where the treatment of the effects of entrainment as well as buoyancy-induced and mechanically induced pressure gradients remains highly uncertain. We show that both buoyancy-induced and mechanically induced pressure gradients are important for the vertical momentum budget of cloudy updrafts, whereas the entrainment dilution term is relatively less important. Based on the analysis of the dominant force balance, we propose a simple model to derive the perturbation pressure gradient forces. We further illustrate that the effective buoyancy and dynamic perturbation pressure can be approximated to a good extent using a simple cylindrical updraft model given the cloud radius. This finding has the potential for improving the parameterization of vertical velocity in convective schemes and the development of a unified scheme for cumulus convection.

Original languageEnglish
Pages (from-to)113-126
Number of pages14
JournalJournal of Advances in Modeling Earth Systems
Volume11
Issue number1
DOIs
Publication statusPublished - 2019

Keywords

  • convective schemes
  • Lagrangian
  • perturbation pressure
  • simple model
  • vertical velocity

Cite this

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title = "The Vertical Momentum Budget of Shallow Cumulus Convection: Insights From a Lagrangian Perspective",
abstract = "A Lagrangian Particle Dispersion Model is embedded into large eddy simulations to diagnose the responses of shallow cumulus convection to a small-amplitude large-scale temperature perturbation. The Lagrangian framework allows for a decomposition of the vertical momentum budget and diagnosis of the forces that regulate cloudy updrafts. The results are used to shed light on the parameterization of vertical velocity in convective schemes, where the treatment of the effects of entrainment as well as buoyancy-induced and mechanically induced pressure gradients remains highly uncertain. We show that both buoyancy-induced and mechanically induced pressure gradients are important for the vertical momentum budget of cloudy updrafts, whereas the entrainment dilution term is relatively less important. Based on the analysis of the dominant force balance, we propose a simple model to derive the perturbation pressure gradient forces. We further illustrate that the effective buoyancy and dynamic perturbation pressure can be approximated to a good extent using a simple cylindrical updraft model given the cloud radius. This finding has the potential for improving the parameterization of vertical velocity in convective schemes and the development of a unified scheme for cumulus convection.",
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The Vertical Momentum Budget of Shallow Cumulus Convection : Insights From a Lagrangian Perspective. / Tian, Yang; Kuang, Zhiming; Singh, Martin S.; Nie, Ji.

In: Journal of Advances in Modeling Earth Systems, Vol. 11, No. 1, 2019, p. 113-126.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Singh, Martin S.

AU - Nie, Ji

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N2 - A Lagrangian Particle Dispersion Model is embedded into large eddy simulations to diagnose the responses of shallow cumulus convection to a small-amplitude large-scale temperature perturbation. The Lagrangian framework allows for a decomposition of the vertical momentum budget and diagnosis of the forces that regulate cloudy updrafts. The results are used to shed light on the parameterization of vertical velocity in convective schemes, where the treatment of the effects of entrainment as well as buoyancy-induced and mechanically induced pressure gradients remains highly uncertain. We show that both buoyancy-induced and mechanically induced pressure gradients are important for the vertical momentum budget of cloudy updrafts, whereas the entrainment dilution term is relatively less important. Based on the analysis of the dominant force balance, we propose a simple model to derive the perturbation pressure gradient forces. We further illustrate that the effective buoyancy and dynamic perturbation pressure can be approximated to a good extent using a simple cylindrical updraft model given the cloud radius. This finding has the potential for improving the parameterization of vertical velocity in convective schemes and the development of a unified scheme for cumulus convection.

AB - A Lagrangian Particle Dispersion Model is embedded into large eddy simulations to diagnose the responses of shallow cumulus convection to a small-amplitude large-scale temperature perturbation. The Lagrangian framework allows for a decomposition of the vertical momentum budget and diagnosis of the forces that regulate cloudy updrafts. The results are used to shed light on the parameterization of vertical velocity in convective schemes, where the treatment of the effects of entrainment as well as buoyancy-induced and mechanically induced pressure gradients remains highly uncertain. We show that both buoyancy-induced and mechanically induced pressure gradients are important for the vertical momentum budget of cloudy updrafts, whereas the entrainment dilution term is relatively less important. Based on the analysis of the dominant force balance, we propose a simple model to derive the perturbation pressure gradient forces. We further illustrate that the effective buoyancy and dynamic perturbation pressure can be approximated to a good extent using a simple cylindrical updraft model given the cloud radius. This finding has the potential for improving the parameterization of vertical velocity in convective schemes and the development of a unified scheme for cumulus convection.

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