Keywords: wind field characteristics, mathematical model, roughness, numerical simulation, wind speed fitting, boundary layer thickness.

Wind conditions in gorges have a significant impact on the safe operation of high-speed trains, yet traditional numerical simulations rely on oversimplified wind models that fail to capture the complex wind speed distribution resulting from the boundary layer on the mountain surface. To address this, a three-dimensional, incompressible, steady calculation method is used to study wind field characteristics in a typical gorge. We propose a two-dimensional mathematical model to study the effects of gorge width on model parameters, including wind speed growth indices in the height and horizontal directions, respectively. Our results demonstrate that the thickness of the mountain boundary layer can reach a maximum of approximately 30m. Notably, we observe differences in wind speed growth indices parameters at the entrance and midway through the gorge, while the boundary layer thickness remains constant with increasing gorge width. Our findings provide more accurate boundary conditions for numerical simulations of high-speed train operation in gorge wind conditions.

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