On the departure from Monin-Obukhov surface similarity and transition to the convective mixed layer

Fuente: arXiv
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Main Authors: Heisel, Michael, Chamecki, Marcelo
Format: Preprint
Published: 2023
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_version_ 1866917657669795840
author Heisel, Michael
Chamecki, Marcelo
author_facet Heisel, Michael
Chamecki, Marcelo
contents Large-eddy simulations are used to evaluate mean profile similarity in the convective boundary layer (CBL). Particular care is taken regarding the grid sensitivity of the profiles and the mitigation of inertial oscillations in the simulation spin-up. The nondimensional gradients $ϕ$ for wind speed and air temperature generally align with Monin-Obukhov similarity across cases but have a steeper slope than predicted within each profile. The same trend has been noted in several other recent studies. The Businger-Dyer relations are modified here with an exponential cutoff term to account for the decay in $ϕ$ to first-order approximation, yielding improved similarity from approximately 0.05$z_i$ to above 0.3$z_i$, where $z_i$ is the CBL depth. The necessity for the exponential correction is attributed to an extended transition from surface scaling to zero gradient in the mixed layer, where the departure from Monin-Obukhov similarity may be negligible at the surface but becomes substantial well below the conventional surface layer height of 0.1$z_i$.
format Preprint
id arxiv_https___arxiv_org_abs_2308_16405
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On the departure from Monin-Obukhov surface similarity and transition to the convective mixed layer
Heisel, Michael
Chamecki, Marcelo
Fluid Dynamics
Atmospheric and Oceanic Physics
Large-eddy simulations are used to evaluate mean profile similarity in the convective boundary layer (CBL). Particular care is taken regarding the grid sensitivity of the profiles and the mitigation of inertial oscillations in the simulation spin-up. The nondimensional gradients $ϕ$ for wind speed and air temperature generally align with Monin-Obukhov similarity across cases but have a steeper slope than predicted within each profile. The same trend has been noted in several other recent studies. The Businger-Dyer relations are modified here with an exponential cutoff term to account for the decay in $ϕ$ to first-order approximation, yielding improved similarity from approximately 0.05$z_i$ to above 0.3$z_i$, where $z_i$ is the CBL depth. The necessity for the exponential correction is attributed to an extended transition from surface scaling to zero gradient in the mixed layer, where the departure from Monin-Obukhov similarity may be negligible at the surface but becomes substantial well below the conventional surface layer height of 0.1$z_i$.
title On the departure from Monin-Obukhov surface similarity and transition to the convective mixed layer
topic Fluid Dynamics
Atmospheric and Oceanic Physics
url https://arxiv.org/abs/2308.16405