Numerical convergence of 2D solar convection in Implicit Large-eddy Simulations

dc.creatorHugo Demattos Nogueira
dc.creatorGustavo Andres Guerrero Eraso
dc.creatorPiotr Krzysztof Smolarkiewicz
dc.creatorAlexander G. Kosovichev
dc.date.accessioned2023-11-13T12:16:55Z
dc.date.accessioned2025-09-09T00:27:17Z
dc.date.available2023-11-13T12:16:55Z
dc.date.issued2022
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.format.mimetypepdf
dc.identifier.doihttps://doi.org/10.3847/1538-4357/ac54b7
dc.identifier.issn1538-4357
dc.identifier.urihttps://hdl.handle.net/1843/60848
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofThe Astrophysical Journal
dc.rightsAcesso Aberto
dc.subjectSol
dc.subjectMétodo computacional
dc.subject.otherSolar convective zone
dc.subject.otherHydrodynamical simulations
dc.subject.otherComputational methods
dc.titleNumerical convergence of 2D solar convection in Implicit Large-eddy Simulations
dc.typeArtigo de periódico
local.citation.epage12
local.citation.issue2
local.citation.spage1
local.citation.volume928
local.description.resumoLarge-eddy simulations (LES) and implicit LES (ILES) are wise and affordable alternatives to the unfeasible direct numerical simulations of turbulent flows at high Reynolds (Re) numbers. However, for systems with few observational constraints, it is a formidable challenge to determine if these strategies adequately capture the physics of the system. Here, we address this problem by analyzing numerical convergence of ILES of turbulent convection in 2D, with resolutions between 642 and 20482 grid points, along with the estimation of their effective viscosities, resulting in effective Reynolds numbers between 1 and ∼104. The thermodynamic structure of our model resembles the solar interior, including a fraction of the radiative zone and the convection zone. In the convective layer, the ILES solutions converge for the simulations with ≥5122 grid points, as evidenced by the integral properties of the flow and its power spectra. Most importantly, we found that even a resolution of 1282 grid points, $\mathrm{Re}\,\sim \,10$, is sufficient to capture the dynamics of the large scales accurately. This is a consequence of the ILES method allowing the energy contained in these scales to be the same in simulations with low and high resolution. Special attention is needed in regions with a small density scale height driving the formation of fine structures unresolved by the numerical grid. In the stable layer, we found the excitation of internal gravity waves, yet high resolution is needed to capture their development and interaction.
local.identifier.orcidhttps://orcid.org/0000-0002-2671-8796
local.identifier.orcidhttps://orcid.org/0000-0001-7077-3285
local.identifier.orcidhttps://orcid.org/0000-0003-0364-4883
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://iopscience.iop.org/article/10.3847/1538-4357/ac54b7

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