Interaction between convective and elliptical instabilities in rotating fluids

旋转流体中对流和椭圆不稳定性之间的相互作用

• 批准号: 2528559
• 金额: --
• 依托单位: University of Leeds
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2528559
• 关键词: Interaction; between; convective; elliptical; instabilities

Turbulent convection is a ubiquitous fluid dynamical process in nature, occurring in industrial applications as well as in the interiors of many stars and planets. Elliptical fluid streamlines are unstable to a generic fluid dynamical instability referred as the elliptical instability, which can drive inertial waves to become unstable and potentially lead to turbulence. The interaction of these two instabilities in rotating fluids has not been studied in detail previously, and yet both are believed to occur together in several applications, including in tidally-deformed planets. This project will study the fundamental interaction between elliptical instabilities and convection, using both analytical and numerical approaches. In particular, the nonlinear outcome of the two instabilities will be simulated numerically with the goal to determine how the turbulent transport and resulting flows due to each instability are affected by the presence of the other. This study will benefit our understand of the general interaction of two distinct fluid dynamical instabilities and the resulting turbulence, but it also has specific applications to tidally-deformed planets in astrophysics.

湍流对流是一种无处不在的流体动力学过程，它发生在工业应用以及许多恒星和行星的内部。椭圆流的流线对被称为椭圆形不稳定的通用流体动力不稳定性不稳定，该动力不稳定可以驱动惯性波变得不稳定并可能导致湍流。以前尚未对这两种不稳定性在旋转流体中的相互作用进行详细研究，但据信这两者都在几种应用中共同发生，包括在潮汐变形的行星中。该项目将使用分析和数值方法研究椭圆稳定性和对流之间的基本相互作用。特别是，将通过数值模拟这两个不稳定性的非线性结果，以确定湍流传输和由于每个不稳定性引起的湍流和产生的流程如何受到对方的存在的影响。这项研究将使我们对两种不同流体动力学不稳定性的一般相互作用和由此产生的湍流的一般相互作用有益，但是它在潮汐化的行星中也有特定的应用。