Cloud-droplet growth due to supersaturation fluctuations in stratiform clouds

<p>Condensational growth of cloud droplets due to supersaturation fluctuations is investigated by solving the hydrodynamic and thermodynamic equations using direct numerical simulations (DNS) with droplets being modeled as Lagrangian particles. The supersaturation field is calculated directly...

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Main Authors: X.-Y. Li, G. Svensson, A. Brandenburg, N. E. L. Haugen
Format: Article
Language:English
Published: Copernicus Publications 2019-01-01
Series:Atmospheric Chemistry and Physics
Online Access:https://www.atmos-chem-phys.net/19/639/2019/acp-19-639-2019.pdf
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author X.-Y. Li
X.-Y. Li
X.-Y. Li
X.-Y. Li
X.-Y. Li
G. Svensson
G. Svensson
G. Svensson
A. Brandenburg
A. Brandenburg
A. Brandenburg
A. Brandenburg
N. E. L. Haugen
N. E. L. Haugen
author_facet X.-Y. Li
X.-Y. Li
X.-Y. Li
X.-Y. Li
X.-Y. Li
G. Svensson
G. Svensson
G. Svensson
A. Brandenburg
A. Brandenburg
A. Brandenburg
A. Brandenburg
N. E. L. Haugen
N. E. L. Haugen
author_sort X.-Y. Li
collection DOAJ
description <p>Condensational growth of cloud droplets due to supersaturation fluctuations is investigated by solving the hydrodynamic and thermodynamic equations using direct numerical simulations (DNS) with droplets being modeled as Lagrangian particles. The supersaturation field is calculated directly by simulating the temperature and water vapor fields instead of being treated as a passive scalar. Thermodynamic feedbacks to the fields due to condensation are also included for completeness. We find that the width of droplet size distributions increases with time, which is contrary to the classical theory without supersaturation fluctuations, where condensational growth leads to progressively narrower size distributions. Nevertheless, in agreement with earlier Lagrangian stochastic models of the condensational growth, the standard deviation of the surface area of droplets increases as <span class="inline-formula"><i>t</i><sup>1∕2</sup></span>. Also, for the first time, we explicitly demonstrate that the time evolution of the size distribution is sensitive to the Reynolds number, but insensitive to the mean energy dissipation rate. This is shown to be due to the fact that temperature fluctuations and water vapor mixing ratio fluctuations increase with increasing Reynolds number; therefore the resulting supersaturation fluctuations are enhanced with increasing Reynolds number. Our simulations may explain the broadening of the size distribution in stratiform clouds qualitatively, where the mean updraft velocity is almost zero.</p>
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spelling doaj.art-bc8787475d584ebf9fbda3923e9369682022-12-22T02:06:35ZengCopernicus PublicationsAtmospheric Chemistry and Physics1680-73161680-73242019-01-011963964810.5194/acp-19-639-2019Cloud-droplet growth due to supersaturation fluctuations in stratiform cloudsX.-Y. Li0X.-Y. Li1X.-Y. Li2X.-Y. Li3X.-Y. Li4G. Svensson5G. Svensson6G. Svensson7A. Brandenburg8A. Brandenburg9A. Brandenburg10A. Brandenburg11N. E. L. Haugen12N. E. L. Haugen13Department of Meteorology and Bolin Centre for Climate Research, Stockholm University, Stockholm, SwedenNordita, KTH Royal Institute of Technology and Stockholm University, 10691 Stockholm, SwedenSwedish e-Science Research Centre, Stockholm, SwedenLaboratory for Atmospheric and Space Physics, University of Colorado, Boulder, CO 80303, USAJILA, Box 440, University of Colorado, Boulder, CO 80303, USADepartment of Meteorology and Bolin Centre for Climate Research, Stockholm University, Stockholm, SwedenSwedish e-Science Research Centre, Stockholm, SwedenGlobal & Climate Dynamics, National Center for Atmospheric Research, Boulder, CO 80305, USANordita, KTH Royal Institute of Technology and Stockholm University, 10691 Stockholm, SwedenLaboratory for Atmospheric and Space Physics, University of Colorado, Boulder, CO 80303, USAJILA, Box 440, University of Colorado, Boulder, CO 80303, USADepartment of Astronomy, Stockholm University, 10691 Stockholm, SwedenSINTEF Energy Research, 7465 Trondheim, NorwayDepartment of Energy and Process Engineering, NTNU, 7491 Trondheim, Norway<p>Condensational growth of cloud droplets due to supersaturation fluctuations is investigated by solving the hydrodynamic and thermodynamic equations using direct numerical simulations (DNS) with droplets being modeled as Lagrangian particles. The supersaturation field is calculated directly by simulating the temperature and water vapor fields instead of being treated as a passive scalar. Thermodynamic feedbacks to the fields due to condensation are also included for completeness. We find that the width of droplet size distributions increases with time, which is contrary to the classical theory without supersaturation fluctuations, where condensational growth leads to progressively narrower size distributions. Nevertheless, in agreement with earlier Lagrangian stochastic models of the condensational growth, the standard deviation of the surface area of droplets increases as <span class="inline-formula"><i>t</i><sup>1∕2</sup></span>. Also, for the first time, we explicitly demonstrate that the time evolution of the size distribution is sensitive to the Reynolds number, but insensitive to the mean energy dissipation rate. This is shown to be due to the fact that temperature fluctuations and water vapor mixing ratio fluctuations increase with increasing Reynolds number; therefore the resulting supersaturation fluctuations are enhanced with increasing Reynolds number. Our simulations may explain the broadening of the size distribution in stratiform clouds qualitatively, where the mean updraft velocity is almost zero.</p>https://www.atmos-chem-phys.net/19/639/2019/acp-19-639-2019.pdf
spellingShingle X.-Y. Li
X.-Y. Li
X.-Y. Li
X.-Y. Li
X.-Y. Li
G. Svensson
G. Svensson
G. Svensson
A. Brandenburg
A. Brandenburg
A. Brandenburg
A. Brandenburg
N. E. L. Haugen
N. E. L. Haugen
Cloud-droplet growth due to supersaturation fluctuations in stratiform clouds
Atmospheric Chemistry and Physics
title Cloud-droplet growth due to supersaturation fluctuations in stratiform clouds
title_full Cloud-droplet growth due to supersaturation fluctuations in stratiform clouds
title_fullStr Cloud-droplet growth due to supersaturation fluctuations in stratiform clouds
title_full_unstemmed Cloud-droplet growth due to supersaturation fluctuations in stratiform clouds
title_short Cloud-droplet growth due to supersaturation fluctuations in stratiform clouds
title_sort cloud droplet growth due to supersaturation fluctuations in stratiform clouds
url https://www.atmos-chem-phys.net/19/639/2019/acp-19-639-2019.pdf
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