Multifractal properties of embedded convective structures in orographic precipitation: toward subgrid-scale predictability

Rain and cloud fields produced by fully nonlinear idealized cloud resolving numerical simulations of orographic convective precipitation display statistical multiscaling behavior, implying that multifractal diagnostics should provide a physically robust basis for the downscaling and sub-grid scale p...

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Main Authors: M. Nogueira, A. P. Barros, P. M. A. Miranda
Format: Article
Language:English
Published: Copernicus Publications 2013-09-01
Series:Nonlinear Processes in Geophysics
Online Access:http://www.nonlin-processes-geophys.net/20/605/2013/npg-20-605-2013.pdf
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author M. Nogueira
A. P. Barros
P. M. A. Miranda
author_facet M. Nogueira
A. P. Barros
P. M. A. Miranda
author_sort M. Nogueira
collection DOAJ
description Rain and cloud fields produced by fully nonlinear idealized cloud resolving numerical simulations of orographic convective precipitation display statistical multiscaling behavior, implying that multifractal diagnostics should provide a physically robust basis for the downscaling and sub-grid scale parameterizations of moist processes. Our results show that the horizontal scaling exponent function (and respective multiscaling parameters) of the simulated rainfall and cloud fields varies with atmospheric and terrain properties, particularly small-scale terrain spectra, atmospheric stability, and advective timescale. This implies that multifractal diagnostics of moist processes for these simulations are fundamentally transient, exhibiting complex nonlinear behavior depending on atmospheric conditions and terrain forcing at each location. A particularly robust behavior found here is the transition of the multifractal parameters between stable and unstable cases, which has a clear physical correspondence to the transition from stratiform to organized (banded and cellular) convective regime. This result is reinforced by a similar behavior in the horizontal spectral exponent. Finally, our results indicate that although nonlinearly coupled fields (such as rain and clouds) have different scaling exponent functions, there are robust relationships with physical underpinnings between the scaling parameters that can be explored for hybrid dynamical-statistical downscaling.
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spelling doaj.art-61c6b2294572473f9658064893b5c0bd2022-12-21T17:45:58ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462013-09-0120560562010.5194/npg-20-605-2013Multifractal properties of embedded convective structures in orographic precipitation: toward subgrid-scale predictabilityM. NogueiraA. P. BarrosP. M. A. MirandaRain and cloud fields produced by fully nonlinear idealized cloud resolving numerical simulations of orographic convective precipitation display statistical multiscaling behavior, implying that multifractal diagnostics should provide a physically robust basis for the downscaling and sub-grid scale parameterizations of moist processes. Our results show that the horizontal scaling exponent function (and respective multiscaling parameters) of the simulated rainfall and cloud fields varies with atmospheric and terrain properties, particularly small-scale terrain spectra, atmospheric stability, and advective timescale. This implies that multifractal diagnostics of moist processes for these simulations are fundamentally transient, exhibiting complex nonlinear behavior depending on atmospheric conditions and terrain forcing at each location. A particularly robust behavior found here is the transition of the multifractal parameters between stable and unstable cases, which has a clear physical correspondence to the transition from stratiform to organized (banded and cellular) convective regime. This result is reinforced by a similar behavior in the horizontal spectral exponent. Finally, our results indicate that although nonlinearly coupled fields (such as rain and clouds) have different scaling exponent functions, there are robust relationships with physical underpinnings between the scaling parameters that can be explored for hybrid dynamical-statistical downscaling.http://www.nonlin-processes-geophys.net/20/605/2013/npg-20-605-2013.pdf
spellingShingle M. Nogueira
A. P. Barros
P. M. A. Miranda
Multifractal properties of embedded convective structures in orographic precipitation: toward subgrid-scale predictability
Nonlinear Processes in Geophysics
title Multifractal properties of embedded convective structures in orographic precipitation: toward subgrid-scale predictability
title_full Multifractal properties of embedded convective structures in orographic precipitation: toward subgrid-scale predictability
title_fullStr Multifractal properties of embedded convective structures in orographic precipitation: toward subgrid-scale predictability
title_full_unstemmed Multifractal properties of embedded convective structures in orographic precipitation: toward subgrid-scale predictability
title_short Multifractal properties of embedded convective structures in orographic precipitation: toward subgrid-scale predictability
title_sort multifractal properties of embedded convective structures in orographic precipitation toward subgrid scale predictability
url http://www.nonlin-processes-geophys.net/20/605/2013/npg-20-605-2013.pdf
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AT apbarros multifractalpropertiesofembeddedconvectivestructuresinorographicprecipitationtowardsubgridscalepredictability
AT pmamiranda multifractalpropertiesofembeddedconvectivestructuresinorographicprecipitationtowardsubgridscalepredictability