An explicit algebraic model of the planetary boundary layer turbulence: test computation of the neutrally stratified atmospheric boundary layer

Abstract. We examine the influence of the grid aspect ratio of horizontal to vertical grid spacing on turbulence in the planetary boundary layer (PBL) in a large-eddy simulation (LES). In order to clarify and distinguish them from other artificial effects caused by numerical schemes, we used a fully compressible meteorological LES model with a fully explicit scheme of temporal integration. The influences are investigated with a series of sensitivity tests with parameter sweeps of spatial resolution and grid aspect ratio. We confirmed that the mixing length of the eddy viscosity and diffusion due to sub-grid-scale turbulence plays an essential role in reproducing the theoretical −5/3 slope of the energy spectrum. If we define the filter length in LES modeling based on consideration of the numerical scheme, and introduce a corrective factor for the grid aspect ratio into the mixing length, the theoretical slope of the energy spectrum can be obtained; otherwise, spurious energy piling appears at high wave numbers. We also found that the grid aspect ratio has influence on the turbulent statistics, especially the skewness of the vertical velocity near the top of the PBL, which becomes spuriously large with large aspect ratio, even if a reasonable spectrum is obtained.

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Study of near-surface models for large-eddy simulations of a neutrally stratified atmospheric boundary layer

Boundary-Layer Meteorology ◽

10.1007/s10546-007-9181-x ◽

2007 ◽

Vol 124 (3) ◽

pp. 405-424 ◽

Cited By ~ 19

Author(s):

Inanc Senocak ◽

Andrew S. Ackerman ◽

Michael P. Kirkpatrick ◽

David E. Stevens ◽

Nagi N. Mansour

Keyword(s):

Boundary Layer ◽

Atmospheric Boundary Layer ◽

Large Eddy Simulations ◽

Near Surface ◽

Large Eddy ◽

Surface Models ◽

Neutrally Stratified

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Validation of atmospheric boundary layer turbulence model by on-site measurements

Thermal Science ◽

10.2298/tsci1001199s ◽

2010 ◽

Vol 14 (1) ◽

pp. 199-207 ◽

Cited By ~ 1

Author(s):

Zarko Stevanovic ◽

Nikola Mirkov ◽

Zana Stevanovic ◽

Andrijana Stojanovic

Keyword(s):

Boundary Layer ◽

Atmospheric Boundary Layer ◽

Linear Models ◽

Stokes Equations ◽

Turbulence Models ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Boundary Layer Turbulence ◽

Askervein Hill ◽

Neutral Conditions

Modeling atmosperic boundary layer with standard linear models does not sufficiently reproduce wind conditions in complex terrain, especially on leeward sides of terrain slopes. More complex models, based on Reynolds averaged Navier-Stokes equations and two-equation k-? turbulence models for neutral conditions in atmospheric boundary layer, written in general curvilinear non-orthogonal co-ordinate system, have been evaluated. In order to quantify the differences and level of accuracy of different turbulence models, investigation has been performed using standard k-? model without additional production terms and k-? turbulence models with modified set of model coefficients. The sets of full conservation equations are numerically solved by computational fluid dynamics technique. Numerical calculations of turbulence models are compared to the reference experimental data of Askervein hill measurements.

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Development and Improvement of Two Methods of Different Complexity to Simulate Atmospheric Boundary Layer Turbulence for Aircraft Design Studies

Notes on Numerical Fluid Mechanics and Multidisciplinary Design - Advances in Simulation of Wing and Nacelle Stall ◽

10.1007/978-3-319-21127-5_11 ◽

2015 ◽

pp. 189-202

Author(s):

Christoph Knigge ◽

Siegfried Raasch

Keyword(s):

Boundary Layer ◽

Atmospheric Boundary Layer ◽

Aircraft Design ◽

Design Studies ◽

Boundary Layer Turbulence

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Improved Length Scales for Turbulence Kinetic Energy–Based Planetary Boundary Layer Scheme for the Convective Atmospheric Boundary Layer

Journal of the Atmospheric Sciences ◽

10.1175/jas-d-19-0334.1 ◽

2020 ◽

Vol 77 (7) ◽

pp. 2605-2626 ◽

Cited By ~ 1

Author(s):

Bowen Zhou ◽

Yuhuan Li ◽

Kefeng Zhu

Keyword(s):

Boundary Layer ◽

Kinetic Energy ◽

Atmospheric Boundary Layer ◽

Planetary Boundary Layer ◽

Turbulent Mixing ◽

Turbulence Kinetic Energy ◽

Convective Boundary ◽

Stability Range ◽

Length Scales ◽

Pbl Scheme

AbstractBased on a priori analysis of large-eddy simulations (LESs) of the convective atmospheric boundary layer, improved turbulent mixing and dissipation length scales are proposed for a turbulence kinetic energy (TKE)-based planetary boundary layer (PBL) scheme. The turbulent mixing length incorporates surface similarity and TKE constraints in the surface layer, and makes adjustments for lateral entrainment effects in the mixed layer. The dissipation length is constructed based on balanced TKE budgets accounting for shear, buoyancy, and turbulent mixing. A nongradient term is added to the TKE flux to correct for nonlocal turbulent mixing of TKE. The improved length scales are implemented into a PBL scheme, and are tested with idealized single-column convective boundary layer (CBL) cases. Results exhibit robust applicability across a broad CBL stability range, and are in good agreement with LES benchmark simulations. It is then implemented into a community atmospheric model and further evaluated with 3D real-case simulations. Results of the new scheme are of comparable quality to three other well-established PBL schemes. Comparisons between simulated and radiosonde-observed profiles show favorable performance of the new scheme on a clear day.

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