Large-Eddy Simulation of Flows over Idealized Urban Roughness in Unstable Thermal Stratification

نویسندگان

  • Ming-Chung Chan
  • Chun-Ho Liu
چکیده

Large-eddy simulation (LES) equipped with the one-equation subgrid-scale (SGS) model is employed to investigate the mean flows and turbulence over idealized two-dimensional (2D) street canyons in various unstable thermal stratifications. The building-height-tostreet-width (aspect) ratio is equalto unity so the flows inside a street canyon are in the skimming flow regime. Periodic boundaries are assigned to the domain inlet and outlet, and the spanwise extent, simulating the infinite horizontally homogenous urban roughness. The buoyancy forceis modeled by Boussinesq approximation. In isothermal conditions, the flow exhibits a logarithmic mean velocity profile (law of the wall) in the region above theurban roughness elements. On the other hand, in thermal stratification with the presence of buoyancy force, the mean velocity profile deviates from its isothermal counterpart. The current LES results show that the deviation depends on the Richardson number, which is a measure of the relative contributions from natural convection and forced convection. In unstable stratification, the conventional law of the wall is modified by multiplying an empirical constant Ato the logarithmic term to account for the contributions from thermal stratification. It is found that, with increasing buoyancy force, the empirical constant A and the aerodynamic roughness length scale z0 decrease while the displacement height dincreases. We therefore hypothesize that the aerodynamic roughness length z0and the displacement height darefunctions of thermal stratification in addition to physical roughness geometry.

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تاریخ انتشار 2012