TY - JOUR AU - AB - J. Fluid Mech. (2021), vol. 917, A39, doi:10.1017/jfm.2021.242 Quantifying air–water turbulence with moment field equations 1,2, 3 4 Colton J. Conroy †, Kyle T. Mandli and Ethan J. Kubatko Lamont-Doherty Earth Observatory, Columbia University New York, NY 10027, USA Roy M. Huffington Department of Earth Sciences, Southern Methodist University, Dallas, TX 75205, USA Applied Physics and Applied Mathematics, Columbia University New York, NY 10027, USA Department of Geodetic, Civil and Environmental Engineering, The Ohio State University, Columbus, OH 43210, USA (Received 18 October 2019; revised 14 February 2021; accepted 2 March 2021) Energy transfer in turbulent fluids is non-Gaussian. We quantify non-Gaussian energy transfer between the atmosphere and bodies of water using a turbulent diffusion operator coupled with temporally self-affine velocity distributions and a recursive integration method that produce multifractal measures. The measures serve as input to a system of moment field equations (derived from Navier–Stokes) that generate and track high-frequency gravity waves that propagate through the water surface (as a result of the air–water interactions). The dimension of the support of the air–water turbulence produced by our methods falls within the range of theory and observation, and correspondingly, hindcast statistical measures of the water-wave surface such as significant TI - Quantifying air–water turbulence with moment field equations JF - Journal of Fluid Mechanics DO - 10.1017/jfm.2021.242 DA - 2021-04-29 UR - https://www.deepdyve.com/lp/unpaywall/quantifying-air-water-turbulence-with-moment-field-equations-9W973eazVV DP - DeepDyve ER -