A Study of the Stable Boundary Layer Based on a Single-Column K-Theory Model

Sorbjan, Zbigniew

doi:10.1007/s10546-011-9654-9

Cited by 15 publications

(6 citation statements)

References 46 publications

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“…Figure 5 shows the vertical profiles of wind speed and direction, as well as of u and the potential temperature. The structure of the stable boundary layer over sea ice has already been considered in a number of idealized studies, which used the GABLS I scenario as a reference (e.g., [30,[38][39][40]). The profiles shown in Figure 5 were in a good agreement with results obtained in the earlier studies, e.g., with respect to the ABL height and the surface cross-isobar angle, and will not be discussed here in much detail.…”

Section: Single-column Modelingmentioning

confidence: 99%

On the u⋆−U Relationship in the Stable Atmospheric Boundary Layer over Arctic Sea Ice

Chechin

2021

Atmosphere

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A relationship between the friction velocity u⋆ and mean wind speed U in a stable atmospheric boundary layer (ABL) over Arctic sea ice was considered. To that aim, the observations collected during the Surface Heat Budget of the Arctic Ocean (SHEBA) experiment were used. The observations showed the so-called “hockey-stick” shape of the u⋆−U relationship, which consists of a slow increase of u⋆ with increasing wind speed for U<Utr and a more rapid almost linear increase of u⋆ for U>Utr, where Utr is the wind speed of transition between the two regimes. Such a relationship is most pronounced at the highest observational levels, namely at 9 and 14 m, and is also sharper when the air-surface temperature difference exceeds its average values for stable conditions. It is shown that the Monin–Obukhov similarity theory (MOST) reproduces the observed u⋆−U relationship rather well. This suggests that at least for the SHEBA dataset, there is no contradiction between MOST and the “hockey-stick” shape of the u⋆−U relationship. However, the SHEBA data, as well as the single-column simulations show that for cases with strong stability, u⋆ significantly decreases with height due to the shallowness of the ABL. It was shown that when u⋆ was assumed independent of height, the value of the normalized drag coefficient, i.e., of the so-called stability correction function for momentum, calculated using observations at a certain level, can be significantly underestimated. To overcome this, the decrease of u⋆ with height was taken into account in the framework of MOST using local scaling instead of the scaling with surface fluxes. Using such an extended MOST brought the estimates of the normalized drag coefficient closer to the Businger–Dyer relation.

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Section: Single-column Modelingmentioning

confidence: 99%

On the u⋆−U Relationship in the Stable Atmospheric Boundary Layer over Arctic Sea Ice

Chechin

2021

Atmosphere

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“…where H is the domain height. The initial profile of the potential temperature is constant Θ 0 = 300 K up to a certain height H c = 200 m and then increases according to the dry adiabatic lapse rate Γ = 0.01 K m 1 as used by Sorbjan (2012):…”

Section: Initial and Boundary Conditionsmentioning

confidence: 99%

Simulating the Unsteady Stable Boundary Layer With a Stochastic Stability Equation

Boyko,

Vercauteren

2024

JGR Atmospheres

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Turbulence in very stable boundary layers is typically unsteady and intermittent. The study implements a stochastic modeling approach to represent unsteady mixing possibly associated with intermittency of turbulence and with unresolved fluid motions such as dirty waves or drainage flows. The stochastic parameterization is introduced by randomizing the mixing lengthscale used in a Reynolds average Navier‐Stokes (RANS) model with turbulent kinetic energy closure, resulting in a stochastic unsteady RANS model. The randomization alters the turbulent momentum diffusion and accounts for sporadic events of possibly unknown origin that cause unsteady mixing. The paper shows how the proposed stochastic parameterization can be integrated into a RANS model used in weather‐forecasting and its impact is analyzed using neutrally and stably stratified idealized numerical case studies. The simulations show that the framework can successfully model intermittent mixing in stably stratified conditions, and does not alter the representation of neutrally stratified conditions. It could thus present a way forward for dealing with the complexities of unsteady flows in numerical weather prediction or climate models.

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“…Profiles of the Richardson Ri are depicted in Fig 3, and typically, Ri is small near the surface and increases with height (Sorbjan 2012). According to Sorbjan (2010), thermal stability in the stable boundary layer differs for individual layers, and can be classified based on the local values of the Richardson number.…”

Section: Potential Temperature and Wind Profilesmentioning

confidence: 99%

Statistics of Turbulence in the Stable Boundary Layer Affected by Gravity Waves

Sorbjan

Czerwińska

2013

Boundary-Layer Meteorol

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In order to investigate effects of interactions between turbulence and gravity waves in the stable boundary layer on similarity theory relationships, we re-examined a dataset, collected during three April nights in 1978 and in 1980 on the 300-m tower of the Boulder Atmospheric Observatory (BAO). The BAO site, located in Erie, Colorado, USA, 30 km east of the foothills of the Rocky Mountains, has been known for the frequent detection of wave activities. The considered profiles of turbulent fluxes and variances were normalized by two local, gradient-based scaling systems, and subsequently compared with similarity functions of the Richardson number, obtained based on data with no influence of gravity currents and topographical factors. The first scaling system was based on local values of the vertical velocity variance σ w and the Brunt-Väisäla frequencyN , while the second one was based on the temperature variance σ θ and N . Analysis showed some departures from the similarity functions (obtained for data with virtually no influence of mesoscale motions); nonetheless the overall dependency of dimensionless moments on the Richardson number was maintained.

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A Study of the Stable Boundary Layer Based on a Single-Column K-Theory Model

Cited by 15 publications

References 46 publications

On the u⋆−U Relationship in the Stable Atmospheric Boundary Layer over Arctic Sea Ice

On the u⋆−U Relationship in the Stable Atmospheric Boundary Layer over Arctic Sea Ice

Simulating the Unsteady Stable Boundary Layer With a Stochastic Stability Equation

Statistics of Turbulence in the Stable Boundary Layer Affected by Gravity Waves

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