Abstract:The evolution of the stable boundary layer is simulated using an idealized single-column model of pressure-driven flow coupled to a surface energy budget. Several commonly used parameterizations of turbulence are examined. The agreement between the simulated wind and temperature profiles and tower observations from the Cabauw tower is generally good given the simplicity of the model. The collapse and recovery of turbulence is explored in the presence of a large-scale pressure gradient, but excluding transient … Show more
“…Furthermore, it allows generalizing the conclusions to different locations, by considering different values of soil properties such as its heat capacity and its temperature at larger depths. In contrast with previous studies that used first‐order (Holdsworth and Monahan, ) or TKE models (Baas et al ., ; ), the present use of a complete second‐order version allows investigating the budgets of high‐order moments such as TKE, heat flux and temperature variance both in terms of temporal evolution and vertical structure. The analysis identifies the terms that dominate the respective budgets in the different SBL regimes.…”
Section: Introductionmentioning
confidence: 99%
“…() used a similar model to simulate regime transitions observed in Antarctica, finding that such a model reproduces the complex relationship between surface thermal inversion and mean wind speed. Holdsworth and Monahan () looked at the weakly to very stable transition using a first‐order model with turbulent mixing determined by stability functions. They performed idealized equilibrium simulations for different geostrophic winds and found that external factors such as cloudiness, soil thermal conductivity or the Coriolis parameter also affect the SBL regime.…”
Observations of the vertical and temporal structure of the nocturnal boundary layer before and after a transition from the weakly to the very stable regime have been presented in Part I. Here, similar transitions are investigated using a one‐dimensional second‐order closure numerical model, with an energy budget solved at the surface. The transition is driven by a decreasing mean wind at the top of the domain, and simulations with different cloud covers and surface thermal properties are considered. The time of the transition depends on the wind speed at the top of the domain and on the “coupling strength” between the surface and the atmosphere, which is affected by the cloud cover and surface thermal properties. The vertical profiles and temporal evolutions of the terms of the budgets of turbulent kinetic energy (TKE), heat flux and temperature variance are presented. Of these, only TKE budget presents the same dominant terms in both regimes. Absolute heat flux in the model is proportional to the cube of the wind speed in the very stable regime.
“…Furthermore, it allows generalizing the conclusions to different locations, by considering different values of soil properties such as its heat capacity and its temperature at larger depths. In contrast with previous studies that used first‐order (Holdsworth and Monahan, ) or TKE models (Baas et al ., ; ), the present use of a complete second‐order version allows investigating the budgets of high‐order moments such as TKE, heat flux and temperature variance both in terms of temporal evolution and vertical structure. The analysis identifies the terms that dominate the respective budgets in the different SBL regimes.…”
Section: Introductionmentioning
confidence: 99%
“…() used a similar model to simulate regime transitions observed in Antarctica, finding that such a model reproduces the complex relationship between surface thermal inversion and mean wind speed. Holdsworth and Monahan () looked at the weakly to very stable transition using a first‐order model with turbulent mixing determined by stability functions. They performed idealized equilibrium simulations for different geostrophic winds and found that external factors such as cloudiness, soil thermal conductivity or the Coriolis parameter also affect the SBL regime.…”
Observations of the vertical and temporal structure of the nocturnal boundary layer before and after a transition from the weakly to the very stable regime have been presented in Part I. Here, similar transitions are investigated using a one‐dimensional second‐order closure numerical model, with an energy budget solved at the surface. The transition is driven by a decreasing mean wind at the top of the domain, and simulations with different cloud covers and surface thermal properties are considered. The time of the transition depends on the wind speed at the top of the domain and on the “coupling strength” between the surface and the atmosphere, which is affected by the cloud cover and surface thermal properties. The vertical profiles and temporal evolutions of the terms of the budgets of turbulent kinetic energy (TKE), heat flux and temperature variance are presented. Of these, only TKE budget presents the same dominant terms in both regimes. Absolute heat flux in the model is proportional to the cube of the wind speed in the very stable regime.
“…However, the mean wind speed threshold for the transition is not universal, varying from one site to another van Hooijdonk et al 2015). In studies based on simplified numerical models (Van de Wiel et al 2017;Holdsworth and Monahan 2019), it has been suggested that such differences may be associated to different surface characteristics, such as soil properties and the total surface net radiation.…”
Two contrasting flow regimes exist in the stable boundary layer (SBL), as evidenced from both observational and modeling studies. In general, numerical schemes such as those used in numerical weather prediction and climate models (NWPCs) reproduce a transition between SBL regimes. However, the characteristics of such a transition depend on the turbulence parameterizations and stability functions used to represent the eddy diffusivity in the models. The main goal of the present study is to detail how the two SBL regimes occur in single-column models (SCMs) by analyzing the SBL structure and its dependence on external parameters. Two different turbulence closure orders (first order and an E–l model) and two types of stability functions (short and long tail) are considered. The control exerted by the geostrophic wind and the surface cooling rate on the model SBL regimes is addressed. The model flow presents a three-layer structure: a fully turbulent, weakly stable layer (WSL) next to the surface; a very stable layer (VSL) above that; and a laminar layer above the other two and toward the domain top. It is shown that the WSL and VSL are related to both SBL regimes, respectively. Furthermore, the numerically simulated SBL presents the two-layer structure regardless of the turbulence parameterization order and stability function used. The models also reproduce other features reported in recent observational studies: an S-shaped dependence of the thermal gradient on the mean wind speed and an independence of the vertical gradient of friction velocity δu* on the mean wind speed.
“…The combined importance of the wind speed and of the surface thermal processes has also been evidenced by numerical studies using idealized single-column models of the atmosphere. Single-column models with a first-order turbulence closure scheme (Baas et al 2017(Baas et al , 2019Holdsworth and Monahan 2019) or a second-order closure scheme (Maroneze et al 2019) are able to representatively simulate transitions from weakly to strongly stable regimes. Yet, direct numerical simulations show that transitions from strongly to weakly stable regimes can occur following a localized, random perturbation of the flow (Donda et al 2015).…”
Many natural systems undergo critical transitions, i.e. sudden shifts from one dynamical regime to another. In the climate system, the atmospheric boundary layer can experience sudden transitions between fully turbulent states and quiescent, quasi-laminar states. Such rapid transitions are observed in Polar regions or at night when the atmospheric boundary layer is stably stratified, and they have important consequences in the strength of mixing with the higher levels of the atmosphere. To analyze the stable boundary layer, many approaches rely on the identification of regimes that are commonly denoted as weakly and very stable regimes. Detecting transitions between the regimes is crucial for modeling purposes. In this work a combination of methods from dynamical systems and statistical modeling is applied to study these regime transitions and to develop an early-warning signal that can be applied to non-stationary field data. The presented metric aims at detecting nearing transitions by statistically quantifying the deviation from the dynamics expected when the system is close to a stable equilibrium. An idealized stochastic model of near-surface inversions is used to evaluate the potential of the metric as an indicator of regime transitions. In this stochastic system, small-scale perturbations can be amplified due to the nonlinearity, resulting in transitions between two possible equilibria of the temperature inversion. The simulations show such noise-induced regime transitions, successfully identified by the indicator. The indicator is further applied to time series data from nocturnal and Polar meteorological measurements.
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