On the Consistent Parametric Description of the Wave Age Dependence of the Sea Surface Roughness
Shuiqing Li
Abstract
Abstract The wind drag on the sea surface is characterized by the aerodynamic roughness of the sea surface, z 0 , which is regulated by surface wind waves. Many studies have related the dimensionless form of z 0 to the wave age parameter estimated from spectral peak information. These parametric relationships have been well developed for the wind-driven sea but not for mixed seas. Based on an analysis using observations from a fixed platform in the northern South China Sea, the deficiency of the spectral peak information in the parametric description z 0 when swells dominate is indicated. Instead, a consistent parametric description of z 0 can be obtained by using the wave age estimated from the mean wave period, and normalizing z 0 by the mean wavelength. Normalizing z 0 by the significant wave height introduces a spurious residual dependence of z 0 on the wave steepness. A parametric relationship is developed between the dimensionless z 0 (normalized by the mean wavelength) and the wave age from the mean wave period. A comparison of this new relationship to the wind-speed-only formulation in COARE 3.5 is provided. Significance Statement In this paper, a consistent parametric description of the wave age dependence of the surface aerodynamic roughness is presented, with a wide range of sea states from dominant wind-driven seas to mixed seas in which the swells are dominant.