Collaborative Research: A Lagrangian Description of Breaking Ocean Surface Waves from Laboratory Measurements and Stochastic Parameterizations.

波浪破碎效应在大气和海洋科学的许多领域都很重要，包括海气相互作用和动量、能量和海洋地球化学通量;飓风动力学和热力学;污染物迁移和扩散;气溶胶产生和海洋声学等。这项合作研究的目标是建立一个随机拉格朗日参数化的表面波破碎，随后可以应用到波浪和海洋建模。该项目雇用的学生和博士后研究人员将获得科学，技术，工程和数学（STEM）学科的经验。这里开发的数据和破碎参数化将随后在大气和海洋modeling. Increasing的保真度和分辨率的海洋模式，特别是那些集中在亚中尺度，需要改进的表面波过程的表示直接应用。除了在波流相互作用动力学中的重要性外，它还在斯托克斯漂移的经典理论所代表的质量传输中发挥重要作用;在朗缪尔湍流的动力学和运动学中;以及更普遍地，在示踪剂和污染物的传输和分散中。这项研究涉及实验室实验来测量破碎波中流体颗粒的拉格朗日位移和速度。然后，数据将被用来开发和参数化的随机常微分方程，在类的朗之万方程，描述的拉格朗日运动的流体元素。参数化将受到实验获得的粒子路径的n点结构函数的约束，这是比较容易获得和涉及到一个随机的普通（拉格朗日）微分方程，当获得的n点结构函数的（欧拉）随机偏微分方程。在拉格朗日模式下，我们将利用投影到欧拉坐标系来获得波流相互作用和其他混合层过程的破碎动力学表示。

Wave breaking effects are important in many areas of atmospheric and ocean sciences, including air-sea interaction and momentum, energy and biogeochemical fluxes; hurricane dynamics and thermodynamics; pollutant transport and dispersion; aerosol production and ocean acoustics, to name a few. The goal of this collaborative research is to build a stochastic Lagrangian parameterization of surface wave breaking that can subsequently be applied to wave and ocean modeling. The students and postdoctoral researchers employed in this project will gain experience in the disciplines of science, technology, engineering and mathematics (STEM). The data and breaking parameterization developed here will subsequently find direct application in atmosphere and ocean modeling.Increases in the fidelity and resolution of ocean models, specifically those focused on the sub-mesoscales, require improved representation of surface wave processes. In addition to the importance of wave breaking in the dynamics of wave-current interaction, it also plays an important role in mass transport beyond that represented in classical theories of Stokes drift; in the dynamics and kinematics of Langmuir turbulence; and, more generally, in the transport and dispersion of tracers and pollutants. This research involves laboratory experiments to measure the Lagrangian displacement and velocity of fluid particles in breaking waves. The data will then be used to develop and parameterize a stochastic ordinary differential equation, within the class of Langevin equations, to describe the Lagrangian motion of the fluid elements. The parameterization will be constrained by the n-point structure functions for the experimentally obtained particle paths, which are comparatively easier to obtain and to relate to a stochastic ordinary (Lagrangian) differential equation, when compared to obtaining the n-point structure function of an (Eulerian) stochastic partial differential equation. Given the Lagrangian model, a projection to the Eulerian frame will be used to obtain the dynamical representation of breaking for wave-current interaction and other mixed-layer processes.