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March 13, 2026Advances in Structural Engineering1 citations

A unified k - ε model for atmospheric boundary layer simulation under various thermal stratifications

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JLJie LiRZRenyi ZhangJLJinghua Lin

Key Points

  • To develop a unified model for accurately simulating atmospheric boundary layer flows across different thermal stability regimes.
  • Proposed a unified model integrating local equilibrium theory and the standard k-epsilon turbulence model.
  • Derived analytical solutions for inflow profiles and thermal boundary conditions.
  • Validated the model against wind tunnel experimental data for flat terrain and buildings.
  • The model maintained horizontal homogeneity under various thermal stratifications.
  • Successfully reproduced velocity, turbulence, and temperature profiles that aligned with experimental data.
  • Demonstrated advantages over existing models in accurately capturing turbulent kinetic energy profiles.

Abstract

Computational fluid dynamics (CFD) has become an essential tool for investigating the effects of the atmospheric boundary layer (ABL) on a wide range of practical applications. However, accurately simulating ABL flows remains challenging, particularly in properly describing boundary conditions and effectively preventing inflow deterioration. While previous studies have primarily focused on neutral ABL conditions, the influence of thermal stratification, driven by daily cycles of surface heating and cooling, is still inadequately addressed. Existing approaches, such as those based on Monin-Obukhov Similarity Theory and the standard gradient diffusion hypothesis, exhibit limitations in capturing turbulent kinetic energy profiles and defining thermal boundary conditions. To overcome these challenges, we propose a unified model for simulating ABL flows across diverse thermal stability regimes. The model integrates local equilibrium theory with the standard gradient diffusion hypothesis within the framework of standard k - ε turbulence model. A set of analytical solutions for inflow profiles and thermal boundary conditions is derived to ensure consistency with the governing transport and energy equations. The model’s performance is validated against wind tunnel experimental data for both wind flow over flat terrain and around a typical building. Results demonstrate that the proposed model maintains horizontal homogeneity and accurately reproduces velocity, turbulence, and temperature profiles under different thermal stratifications, showing good agreement with experimental measurements. Comparative studies further highlight the advantages of the unified model over existing approaches, underscoring its potential for reliable CFD simulation of ABL flows in engineering applications.

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Cite This Study

Li et al. (2026) studied this question.

synapsesocial.com/papers/69b3ac8102a1e69014cce43ahttps://doi.org/10.1177/13694332261433695
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