Ocean Wave Turbulence From Theory to Computation: E201 Ocean Engineering Seminar Series, Spring 2019
Seminar | May 3 | 2:30-4 p.m. | 3109 Etcheverry Hall
Dr. Yulin Pan, Assistant Professor of Naval Architecture & Marine Engineering, University of Michigan
Abstract: In this presentation, we seek a first-principles understanding of the stationary and invariant form of ocean wave spectrum based on wave turbulence theory, which describes the statistical property of an ensemble of waves in weakly nonlinear interactions. The starting point of the research is on capillary waves, which dominate the small-scale dynamics of ocean surface. Allowing triad resonant interactions, capillary waves represent a most fundamental system which yields a stationary wave turbulence spectrum. In theory, we reformulate the theoretical stationary solution of the capillary wave spectrum, with a correction on the value of the Kolmogorov constant, quantifying the proportionality between spectral amplitude and spectral energy flux. In computation, we develop a numerical method to simulate the phase-resolved evolution of a nonlinear capillary wave field. The simulations confirm the new theoretical development, and additionally uncover the effect of finite domain on the wave spectrum evolution. Inspired by the numerical findings, a new model named quasi-resonant kinetic equation is developed, which incorporates the effect of finite domain in the wave turbulence framework.
Biography: Dr. Yulin Pan is an Assistant Professor in the department of Naval Architecture & Marine Engineering at the University of Michigan, Ann Arbor. He received his Ph.D. in mechanical and ocean engineering from MIT in 2016, with a minor in mathematics. His research is primarily concerned with theoretical and computational hydrodynamics, with applications in ocean engineering and science. He has made original contributions in nonlinear ocean wave mechanics, tidal flows, propeller and bio-inspired foil propulsion.