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Wave Current Interaction with stochastic advection by Lie transport (WCI-SALT)

波流与李输运随机平流的相互作用 (WCI-SALT)

基本信息

批准号：
2280030
负责人：
金额：
--
依托单位：
Imperial College London
依托单位国家：
英国
项目类别：
Studentship
财政年份：
2019
资助国家：
英国
起止时间：
2019 至无数据
项目状态：
已结题

来源：
https://gtr.ukri.org/projects?ref=studentship-2280030
关键词：
Wave Current Interaction stochastic advection

项目摘要

Holm (Proc. Roy. Soc 2015) introduced a variational framework for stochastically parametrising unresolved scales of hydrodynamic motion. This variational framework preserves fundamental features of fluid dynamics such as Kelvin's circulation theorem while also allowing for nonlinear wave propagation within a stratified fluid as well as at its free surface.The dynamics of nonlinear dispersive waves in shallow water involves the strong interaction of waves with currents. The project models WCI in the upper ocean dynamics above the ocean thermocline using the stochastic variational approach combined with a wide range of mathematical analysis and numerics. This project aims to formulate a new approach for developing stochastic parametrisation methods which are potentially useful for example in data analysis and uncertainty quantification of oceanic wave-current interaction. The project then aims to use data assimilation to reduce that uncertainty.The research methodology is based on a combination of new stochastic methods (SALT) in estimating uncertainty in data-driven modelling of fluid flows in combination with a new protocol for using particle filtering in data assimilation for reducing uncertainty. This project is aligned with EPSRC's strategic theme of Mathematical science and physical science. It also follows in the research areas Mathematical analysis numerical analysis Nonlinear systems and fluid dynamics.Collaborators include Prof E. Mémin at INRIA in Rennes FR and Prof B. Chapron at Ifremer in Brest FR.

Holm(程序罗伊SOC 2015)引入了一个用于随机参数上升的变分框架，用于计算未确定的水动力运动尺度。这种变分框架保留了流体动力学的基本特征，如开尔文环流定理，同时也考虑了非线性波在分层流体中及其自由表面的传播。浅水中非线性频散波的动力学涉及波与流的强烈相互作用。该项目使用随机变分方法结合广泛的数学分析和数值计算，在海洋温跃层以上的上层海洋动力学中模拟WCI。该项目旨在为发展随机参数方法制定一种新的方法，这些方法在数据分析和海洋波流相互作用的不确定性量化等方面有潜在的用处。然后，该项目的目标是使用数据同化来减少这种不确定性。研究方法基于在流体流动的数据驱动建模中估计不确定性的新随机方法(SALT)的组合，以及在数据同化中使用粒子滤波以减少不确定性的新协议。该项目与EPSRC的数学科学和物理科学战略主题相一致。其研究领域还包括数学分析、数值分析、非线性系统和流体动力学。合作者包括位于雷恩FR的INRIA的E.Mémin教授和位于Brest FR的Ifremer的B.Chapron教授。