Multiscale Modeling Framework Using Element‐Based Galerkin Methods for Moist Atmospheric Limited‐Area Simulations

Abstract This paper presents a multiscale modeling framework (MMF) to model moist atmospheric limited‐area weather. The MMF resolves large‐scale convection using a coarse grid while simultaneously resolving local features through numerous fine local grids and coupling them seamlessly. Both large‐ an...

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Main Authors: Soonpil Kang, James F. Kelly, Anthony P. Austin, Francis X. Giraldo
Format: Article
Language:English
Published: American Geophysical Union (AGU) 2025-07-01
Series:Journal of Advances in Modeling Earth Systems
Subjects:
Online Access:https://doi.org/10.1029/2024MS004453
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author Soonpil Kang
James F. Kelly
Anthony P. Austin
Francis X. Giraldo
author_facet Soonpil Kang
James F. Kelly
Anthony P. Austin
Francis X. Giraldo
author_sort Soonpil Kang
collection DOAJ
description Abstract This paper presents a multiscale modeling framework (MMF) to model moist atmospheric limited‐area weather. The MMF resolves large‐scale convection using a coarse grid while simultaneously resolving local features through numerous fine local grids and coupling them seamlessly. Both large‐ and small‐scale processes are modeled using the compressible Navier‐Stokes equations within the Nonhydrostatic Unified Model of the Atmosphere (NUMA), and are discretized using a continuous element‐based Galerkin method (spectral elements) with high‐order basis functions. Consequently, the large‐scale and small‐scale models share the same dynamical core but have the flexibility to be adjusted individually. The proposed MMF method is tested in 2D and 3D idealized limited‐area weather problems involving storm clouds produced by squall line and supercell simulations. Numerical results from the MMF showed enhanced representation of cloud processes compared to the coarse model.
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issn 1942-2466
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publishDate 2025-07-01
publisher American Geophysical Union (AGU)
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series Journal of Advances in Modeling Earth Systems
spelling doaj-art-ecbca8170f63454da36ed26bea4da8c92025-08-20T03:09:19ZengAmerican Geophysical Union (AGU)Journal of Advances in Modeling Earth Systems1942-24662025-07-01177n/an/a10.1029/2024MS004453Multiscale Modeling Framework Using Element‐Based Galerkin Methods for Moist Atmospheric Limited‐Area SimulationsSoonpil Kang0James F. Kelly1Anthony P. Austin2Francis X. Giraldo3Department of Applied Mathematics Naval Postgraduate School Monterey CA USASpace Science Division U.S. Naval Research Laboratory Washington DC USADepartment of Applied Mathematics Naval Postgraduate School Monterey CA USADepartment of Applied Mathematics Naval Postgraduate School Monterey CA USAAbstract This paper presents a multiscale modeling framework (MMF) to model moist atmospheric limited‐area weather. The MMF resolves large‐scale convection using a coarse grid while simultaneously resolving local features through numerous fine local grids and coupling them seamlessly. Both large‐ and small‐scale processes are modeled using the compressible Navier‐Stokes equations within the Nonhydrostatic Unified Model of the Atmosphere (NUMA), and are discretized using a continuous element‐based Galerkin method (spectral elements) with high‐order basis functions. Consequently, the large‐scale and small‐scale models share the same dynamical core but have the flexibility to be adjusted individually. The proposed MMF method is tested in 2D and 3D idealized limited‐area weather problems involving storm clouds produced by squall line and supercell simulations. Numerical results from the MMF showed enhanced representation of cloud processes compared to the coarse model.https://doi.org/10.1029/2024MS004453multiscale modeling frameworksuperparameterizationcompressible Navier‐Stokes equationsprecipitation microphysicselement‐based Galerkin methodnumerical weather prediction
spellingShingle Soonpil Kang
James F. Kelly
Anthony P. Austin
Francis X. Giraldo
Multiscale Modeling Framework Using Element‐Based Galerkin Methods for Moist Atmospheric Limited‐Area Simulations
Journal of Advances in Modeling Earth Systems
multiscale modeling framework
superparameterization
compressible Navier‐Stokes equations
precipitation microphysics
element‐based Galerkin method
numerical weather prediction
title Multiscale Modeling Framework Using Element‐Based Galerkin Methods for Moist Atmospheric Limited‐Area Simulations
title_full Multiscale Modeling Framework Using Element‐Based Galerkin Methods for Moist Atmospheric Limited‐Area Simulations
title_fullStr Multiscale Modeling Framework Using Element‐Based Galerkin Methods for Moist Atmospheric Limited‐Area Simulations
title_full_unstemmed Multiscale Modeling Framework Using Element‐Based Galerkin Methods for Moist Atmospheric Limited‐Area Simulations
title_short Multiscale Modeling Framework Using Element‐Based Galerkin Methods for Moist Atmospheric Limited‐Area Simulations
title_sort multiscale modeling framework using element based galerkin methods for moist atmospheric limited area simulations
topic multiscale modeling framework
superparameterization
compressible Navier‐Stokes equations
precipitation microphysics
element‐based Galerkin method
numerical weather prediction
url https://doi.org/10.1029/2024MS004453
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AT anthonypaustin multiscalemodelingframeworkusingelementbasedgalerkinmethodsformoistatmosphericlimitedareasimulations
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