Diagnosing Nonlocal Vertical Acceleration in Moist Convection Using a Large‐Eddy Simulation

Abstract The anelastic theory of effective buoyancy has been generalized to include effects of momentum flux convergence, and has suggested that the dynamics—mediated by the nonlocal perturbation pressure—tends to average over forcing details, yielding vertical acceleration robust to small‐scale var...

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Main Authors: Fu‐Sheng Kao, Yi‐Hung Kuo, Chien‐Ming Wu
Format: Article
Language:English
Published: American Geophysical Union (AGU) 2025-03-01
Series:Journal of Advances in Modeling Earth Systems
Subjects:
Online Access:https://doi.org/10.1029/2024MS004636
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author Fu‐Sheng Kao
Yi‐Hung Kuo
Chien‐Ming Wu
author_facet Fu‐Sheng Kao
Yi‐Hung Kuo
Chien‐Ming Wu
author_sort Fu‐Sheng Kao
collection DOAJ
description Abstract The anelastic theory of effective buoyancy has been generalized to include effects of momentum flux convergence, and has suggested that the dynamics—mediated by the nonlocal perturbation pressure—tends to average over forcing details, yielding vertical acceleration robust to small‐scale variations of the flow. Here we aim to substantiate this theoretical assertion through examining a large‐eddy simulation (LES) with a 100‐m horizontal grid spacing. Specifically, instances of convection in the LES are identified. For these, the buoyancy and dynamic contributions to the vertical momentum tendency are separately diagnosed, and their sensitivity resulting from averaging over sub‐cloud‐scale features quantified. In the absence of a background shear or vorticity, both buoyancy and vertical momentum flux convergence are the leading effect in the vertical acceleration while the influence of the horizontal momentum flux convergence on the vertical motion appears to be substantially weaker. For deep‐convective cases, these contributions at the cloud scale (∼8 km) exhibit a robustness, as measured in a root‐mean‐square sense, to horizontally smoothing out turbulent features of scales ≲3 km. As expected, such scales depend on the size of the convective element of interest, while dynamic contributions tend to be more susceptible to horizontal smoothing than does the buoyancy contribution. We thus argue that including the anelastic nonlocal dynamics can help capture the evolution of convective‐cloud‐scale flows without fully resolving the finer‐scale turbulent features embedded in the flow. Results here lend support to simplifying the subgrid‐scale representation of moist convection for global climate models and storm‐resolving simulations.
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publishDate 2025-03-01
publisher American Geophysical Union (AGU)
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spelling doaj-art-5200b79d98ca42a59d12c732bab780212025-08-20T02:54:12ZengAmerican Geophysical Union (AGU)Journal of Advances in Modeling Earth Systems1942-24662025-03-01173n/an/a10.1029/2024MS004636Diagnosing Nonlocal Vertical Acceleration in Moist Convection Using a Large‐Eddy SimulationFu‐Sheng Kao0Yi‐Hung Kuo1Chien‐Ming Wu2Department of Atmospheric Sciences National Taiwan University Taipei City TaiwanCooperative Institute for Modeling the Earth System Princeton University Princeton NJ USADepartment of Atmospheric Sciences National Taiwan University Taipei City TaiwanAbstract The anelastic theory of effective buoyancy has been generalized to include effects of momentum flux convergence, and has suggested that the dynamics—mediated by the nonlocal perturbation pressure—tends to average over forcing details, yielding vertical acceleration robust to small‐scale variations of the flow. Here we aim to substantiate this theoretical assertion through examining a large‐eddy simulation (LES) with a 100‐m horizontal grid spacing. Specifically, instances of convection in the LES are identified. For these, the buoyancy and dynamic contributions to the vertical momentum tendency are separately diagnosed, and their sensitivity resulting from averaging over sub‐cloud‐scale features quantified. In the absence of a background shear or vorticity, both buoyancy and vertical momentum flux convergence are the leading effect in the vertical acceleration while the influence of the horizontal momentum flux convergence on the vertical motion appears to be substantially weaker. For deep‐convective cases, these contributions at the cloud scale (∼8 km) exhibit a robustness, as measured in a root‐mean‐square sense, to horizontally smoothing out turbulent features of scales ≲3 km. As expected, such scales depend on the size of the convective element of interest, while dynamic contributions tend to be more susceptible to horizontal smoothing than does the buoyancy contribution. We thus argue that including the anelastic nonlocal dynamics can help capture the evolution of convective‐cloud‐scale flows without fully resolving the finer‐scale turbulent features embedded in the flow. Results here lend support to simplifying the subgrid‐scale representation of moist convection for global climate models and storm‐resolving simulations.https://doi.org/10.1029/2024MS004636large‐eddy simulationmoist convectionconvective mass fluxanelastic nonlocal dynamicsconvective parameterization
spellingShingle Fu‐Sheng Kao
Yi‐Hung Kuo
Chien‐Ming Wu
Diagnosing Nonlocal Vertical Acceleration in Moist Convection Using a Large‐Eddy Simulation
Journal of Advances in Modeling Earth Systems
large‐eddy simulation
moist convection
convective mass flux
anelastic nonlocal dynamics
convective parameterization
title Diagnosing Nonlocal Vertical Acceleration in Moist Convection Using a Large‐Eddy Simulation
title_full Diagnosing Nonlocal Vertical Acceleration in Moist Convection Using a Large‐Eddy Simulation
title_fullStr Diagnosing Nonlocal Vertical Acceleration in Moist Convection Using a Large‐Eddy Simulation
title_full_unstemmed Diagnosing Nonlocal Vertical Acceleration in Moist Convection Using a Large‐Eddy Simulation
title_short Diagnosing Nonlocal Vertical Acceleration in Moist Convection Using a Large‐Eddy Simulation
title_sort diagnosing nonlocal vertical acceleration in moist convection using a large eddy simulation
topic large‐eddy simulation
moist convection
convective mass flux
anelastic nonlocal dynamics
convective parameterization
url https://doi.org/10.1029/2024MS004636
work_keys_str_mv AT fushengkao diagnosingnonlocalverticalaccelerationinmoistconvectionusingalargeeddysimulation
AT yihungkuo diagnosingnonlocalverticalaccelerationinmoistconvectionusingalargeeddysimulation
AT chienmingwu diagnosingnonlocalverticalaccelerationinmoistconvectionusingalargeeddysimulation