Utilising low frequency dynamics to improve time-stepping capabilities in weather and climate models

当敲击钟声时，其形状会产生共振，从而产生主要的敲击音和谐波频谱。该项目探讨的一个中心问题是流体中的非线性共振（而不是固体中的非线性共振）如何产生低频、持久的动态模式或“平均”流，以及表征它们的演化和生命周期。学生将探索流体中共振的数学本质，主要应​​用于理想化配置中的大气、海洋和磁场。特别是，该项目将寻求了解非线性振荡如何在时间尺度分离现象中产生低频平均流。是什么在流体中产生非线性共振？它如何取决于背景海洋分层或磁场等物理参数？该项目将结合理论流体动力学、数值分析和模拟来寻求这些问题的答案。学生将与导师Beth Wingate教授协商选择项目方向。

When a bell is struck, its shape creates resonances that produce its primary strike-tone and harmonic spectra. A central question explored in this project is how nonlinear resonance in fluids, rather than in solids, create low frequency, long-lasting dynamical patterns or 'mean' flows, as well as characterizing their evolution and life cycles.The student will explore the mathematical nature of resonance in fluids, primarily with applications to the atmosphere, ocean, and magnetic field in idealized configurations. In particular the project will seek to understand how nonlinear oscillations give rise to low-frequency mean flows in time-scale separated phenomenon. What creates nonlinear resonance in fluids? How does it depend on the parameters of the physics such as background ocean stratification or magnetic field?This project will involve a combination of theoretical fluid dynamics, numerical analysis and simulation to seek answers to these questions. The student will choose the direction of the project in consultation with the supervisor Professor Beth Wingate.