Resolution Sensitivity and Scaling of Large-Eddy Simulations of the Stable Boundary Layer

Beare, Robert J.; MacVean, M. K.

doi:10.1023/b:boun.0000027910.57913.4d

Cited by 70 publications

(88 citation statements)

References 18 publications

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“…Above the top of the boundary layer, C 2 T is undefined, where the dissipation rate ε falls to zero. (Brown et al 1994;Beare and MacVean 2004), and the second at the University of Hannover (Raash and Etling 1991;Raash and Schröter 2001). Both simulations were performed for the same initial and boundary conditions, prescribed as part of the GABLS intercomparison.…”

Section: The "Basic Set-up" Resultsmentioning

confidence: 99%

“…The main difference between the model introduced here and other single-column, K-theory models (e.g., Duynkerke 1991; Kim and Mahrt 1992;Galmarini et al 1998;Beare and MacVean 2004;Edwards et al 2006), is in the form of the applied stability functions f m and f h , the form of the expression for the mixing length, and the value of the Prandtl number,…”

Section: Initial and Boundary Conditionsmentioning

confidence: 99%

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

Sorbjan

2011

Boundary-Layer Meteorol

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We document numerical experiments with a single-column, high-resolution model of the stable boundary layer. The model resolves the logarithmic layer, and does not require inverting the Monin-Obukhov similarity functions in order to calculate the surface fluxes. The turbulence closure is based on the K-theory approach, with a new form of stability functions of the Richardson number, evaluated by using the Surface Heat Budget of the Arctic Ocean (SHEBA) and the Cooperative Atmosphere-Surface Exchange Study (CASES-99) data. A comparison with two, high-resolution large-eddy simulation models shows very good agreement. The reported numerical experiments test the effects of shear, surface cooling, the Coriolis parameter, subsidence, and baroclinicity. The time evolution of the drag coefficient, the heat-transfer coefficient, and the cross-isobar angle is also evaluated.

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Section: The "Basic Set-up" Resultsmentioning

confidence: 99%

Section: Initial and Boundary Conditionsmentioning

confidence: 99%

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

Sorbjan

2011

Boundary-Layer Meteorol

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“…Shin and Hong (2013), for example, completed a range of simulations varying the model resolution, demonstrating this sensitivity to the atmospheric stability. Investigating the resolution sensitivity of large eddy simulations of the stable boundary layer, Beare and Macvean (2004) showed a convergence of model behavior only as horizontal resolution approached 2 m.…”

Section: Discussionmentioning

confidence: 99%

Assessment of valley cold pools and clouds in a very high-resolution numerical weather prediction model

et al. 2015

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Abstract. The formation of cold air pools in valleys under stable conditions represents an important challenge for numerical weather prediction (NWP). The challenge is increased when the valleys that dominate cold pool formation are on scales unresolved by NWP models, which can lead to substantial local errors in temperature forecasts. In this study a 2-month simulation is presented using a nested model configuration with a finest horizontal grid spacing of 100 m. The simulation is compared with observations from the recent COLd air Pooling Experiment (COLPEX) project and the model's ability to represent cold pool formation, and the surface energy balance is assessed. The results reveal a bias in the model long-wave radiation that results from the assumptions made about the sub-grid variability in humidity in the cloud parametrization scheme. The cloud scheme assumes relative humidity thresholds below 100 % to diagnose partial cloudiness, an approach common to schemes used in many other models. The biases in radiation, and resulting biases in screen temperature and cold pool properties are shown to be sensitive to the choice of critical relative humidity, suggesting that this is a key area that should be improved for very high-resolution modeling.

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“…Instead of using ν θ , the surface heat flux Q is imposed by τ h j = Q as a grid-scale (GS) component at the ground. f = 1.389 × 10 −4 s −1 is the Coriolis parameter, which value corresponds to the value at latitude 73 • N. δ i j and ε i j3 are Kronecker delta and the permutation tensor (Beare et al 2004), respectively.…”

Section: Governing Equationsmentioning

confidence: 99%

Large-Eddy Simulation of Convective Boundary Layer with Density Stratification

Baba

Takahashi

2011

Journal of the Meteorological Society of Japan

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Large-eddy simulation of convective boundary layer is performed without and with density stratification using a fully compressible nonhydrostatic model. Effect of density stratification in the boundary layer, where Bousinessq model has normally been applied for the analysis, is investigated by comparing the two cases. This investigation also reveals the difference between Bussinesq model and the fully compressible model, which is hardly used in boundary layer analysis. Although the potential temperature with identical neutral distribution is used for the both cases, the boundary layer height of the stratified case is limited to less than half height of the non-stratified case. The cause is considered to be derived from suppression force to the buoyancy. The suppression force is analyzed in terms of the forces working vertically. It is found that vertical pressure gradient shows symmetrical distribution to that of buoyancy force, and the fact indicates that hydrostatic relation between density and pressure is quickly recovered due to the Brunt-Väisälä oscillation. The effect is also explained by the positive Brunt-Väisälä frequency derived from vertical density gradient in the stratified case. As the results, convective boundary layer with density stratification becomes more stable than that expected from the neutral potential temperature profile. The results of the present study indicate that small density stratification cannot be neglected even for simulating convective boundary layer, and Boussinesq approximation which neglects density gradient may cause significant errors. The present results also suggest a problem that a planetary boundary layer scheme based on Boussinesq model will be inconsistent with a mesoscale model which mainly employs fully compressible nonhydrostatic equations.

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Resolution Sensitivity and Scaling of Large-Eddy Simulations of the Stable Boundary Layer

Cited by 70 publications

References 18 publications

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

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

Assessment of valley cold pools and clouds in a very high-resolution numerical weather prediction model

Large-Eddy Simulation of Convective Boundary Layer with Density Stratification

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