Wind and Structures

Volume 42, Number 4, 2026, pages 459-492

DOI: 10.12989/was.2026.42.4.459

Advection scheme effects on large-eddy simulation of separated turbulent flows past a three-dimensional hill in the weather research and forecasting model

Yong Cao , Tao Tao , Shuyang Cao , Kai Zhang , Dai Zhou

Abstract

Explicitly resolving fine-scale turbulent motions is increasingly prioritized within the Weather Research and Forecasting - Large-Eddy Simulation (WRF-LES) framework. While much is known about turbulence models and grid resolution in flat terrain, few studies have evaluated WRF-LES 's performance in resolving separated turbulent flow past obstacles. This study focuses on flows past a three-dimensional axisymmetric hill, examining the effects of advection schemes (3rd to 6th order accuracy) and stabilization filters on simulation accuracy and efficiency. These aspects are often overlooked in WRF-LES practices. We also explore the performance of advection schemes under varying wind speeds and Smagorinsky coefficients. Results indicate that fundamental coherent structures are reproduced in the wake of the hill, regardless of the advection scheme. Switching from odd-order to even-order schemes significantly improve predictions of flow instability and small-scale turbulent motions. Energy spectra show that even-order schemes better capture the turbulence inertial subrange, achieving nearly twice the effective resolution. The study finds that numerical dissipation in odd-order schemes diminishes at lower wind speeds. Increasing the off centering coefficient enhances numerical stability without significantly affecting flow separation or small-scale turbulence generation.

Key Words

3D hill; advection scheme; large-eddy simulation; weather research and forecasting model

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