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    Manifestation of spurious currents and interface regularization in wind turbulence over fast-propagating waves

    Hanul Hwang and Catherine Gorlé*

    • *Present address: Civil and Environmental Engineering, Stanford University, California 94305, USA.

    Phys. Rev. Fluids 11, 104802 – Published 14 October, 2026

    DOI: https://doi.org/10.1103/dhr7-f3lq

    Abstract

    Accurate simulation of wind turbulence over fast-propagating waves requires interface-capturing methods that suppress numerical artifacts while accurately resolving momentum transfer across the interface. In high wave-age regimes, numerical errors at the air-water interface can reach magnitudes comparable to the physical flow, directly affecting predicted turbulence statistics. This study examines widely used interface-capturing techniques to evaluate how curvature estimation and flux discretization influence wind-wave simulations through the resulting spurious currents and interface regularization. A systematic assessment is performed using static and translating droplet benchmarks, together with solitary and monochromatic wave cases, to identify and quantify the dominant numerical error mechanisms. In addition, comparison with experimental measurements reveals how these primary error sources manifest in coupled wind-wave simulations. These findings clarify the numerical origin of the observed discrepancies and underscore the importance of accurate curvature and flux treatment in high wave-age regimes, without which numerical artifacts risk being misattributed to genuine wind-wave physics.

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