Local Interactions by Diffusion between Mixed-Phase Hydrometeors: Insights from Model Simulations

Manuel Baumgartner; Peter Spichtinger

Mathematics of Climate and Weather Forecasting (2017)

  • Volume: 3, Issue: 1, page 64-89
  • ISSN: 2353-6438

Abstract

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Diffusion ofwater vapor is the dominant growth mechanism for smallwater droplets and ice crystals in clouds. In current cloud models, Maxwell’s theory is used for describing growth of cloud particles. In this approach the local interaction between particles is neglected; the particles can only grow due to changes in environmental conditions, which are assumed as boundary conditions at infinity. This assumption is meaningful if the particles are well separated and far away from each other. However, turbulent motions might change the distances between cloud particles and thus these particles are no longer well separated leading to direct local interactions. In this study we develop a reference model for investigating the direct interaction of cloud particles in mixed-phase clouds as driven by diffusion processes. The model is numerically integrated using finite elements. Additionally, we develop a numerical method based on generalized finite elements for including moving particles and their direct interactions with respect to diffusional growth and evaporation. Several idealized simulations are carried out for investigating direct interactions of liquid droplets and ice particles in a mixed-phase cloud. The results show that local interaction between cloud particles might enhance life times of droplets and ice particles and thus lead to changes in mixed-phase cloud life time and properties.

How to cite

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Manuel Baumgartner, and Peter Spichtinger. "Local Interactions by Diffusion between Mixed-Phase Hydrometeors: Insights from Model Simulations." Mathematics of Climate and Weather Forecasting 3.1 (2017): 64-89. <http://eudml.org/doc/288441>.

@article{ManuelBaumgartner2017,
abstract = {Diffusion ofwater vapor is the dominant growth mechanism for smallwater droplets and ice crystals in clouds. In current cloud models, Maxwell’s theory is used for describing growth of cloud particles. In this approach the local interaction between particles is neglected; the particles can only grow due to changes in environmental conditions, which are assumed as boundary conditions at infinity. This assumption is meaningful if the particles are well separated and far away from each other. However, turbulent motions might change the distances between cloud particles and thus these particles are no longer well separated leading to direct local interactions. In this study we develop a reference model for investigating the direct interaction of cloud particles in mixed-phase clouds as driven by diffusion processes. The model is numerically integrated using finite elements. Additionally, we develop a numerical method based on generalized finite elements for including moving particles and their direct interactions with respect to diffusional growth and evaporation. Several idealized simulations are carried out for investigating direct interactions of liquid droplets and ice particles in a mixed-phase cloud. The results show that local interaction between cloud particles might enhance life times of droplets and ice particles and thus lead to changes in mixed-phase cloud life time and properties.},
author = {Manuel Baumgartner, Peter Spichtinger},
journal = {Mathematics of Climate and Weather Forecasting},
keywords = {Diffusional Growth; Wegener-Bergeron-Findeisen process; Generalized Finite Element Method},
language = {eng},
number = {1},
pages = {64-89},
title = {Local Interactions by Diffusion between Mixed-Phase Hydrometeors: Insights from Model Simulations},
url = {http://eudml.org/doc/288441},
volume = {3},
year = {2017},
}

TY - JOUR
AU - Manuel Baumgartner
AU - Peter Spichtinger
TI - Local Interactions by Diffusion between Mixed-Phase Hydrometeors: Insights from Model Simulations
JO - Mathematics of Climate and Weather Forecasting
PY - 2017
VL - 3
IS - 1
SP - 64
EP - 89
AB - Diffusion ofwater vapor is the dominant growth mechanism for smallwater droplets and ice crystals in clouds. In current cloud models, Maxwell’s theory is used for describing growth of cloud particles. In this approach the local interaction between particles is neglected; the particles can only grow due to changes in environmental conditions, which are assumed as boundary conditions at infinity. This assumption is meaningful if the particles are well separated and far away from each other. However, turbulent motions might change the distances between cloud particles and thus these particles are no longer well separated leading to direct local interactions. In this study we develop a reference model for investigating the direct interaction of cloud particles in mixed-phase clouds as driven by diffusion processes. The model is numerically integrated using finite elements. Additionally, we develop a numerical method based on generalized finite elements for including moving particles and their direct interactions with respect to diffusional growth and evaporation. Several idealized simulations are carried out for investigating direct interactions of liquid droplets and ice particles in a mixed-phase cloud. The results show that local interaction between cloud particles might enhance life times of droplets and ice particles and thus lead to changes in mixed-phase cloud life time and properties.
LA - eng
KW - Diffusional Growth; Wegener-Bergeron-Findeisen process; Generalized Finite Element Method
UR - http://eudml.org/doc/288441
ER -

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