Replication Data for: Dissipation in rapidly rotating fluid spheres caused by weak longitudinal libration
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This repository contains the data and codes needed to reproduce all figures in the publication: \"Dissipation in rapidly rotating fluid spheres caused by weak longitudinal libration\" submitted for review on (2024-07-15). Also includes the linear numerical code used for the results with an example of its use. Summary of publication: Planetary bodies with non-spherical mass distributions are subject to gravitational torques from their orbital companions. One influence of these torques is a modulation of the rotation rate of the planet, known as longitudinal libration. For a planet with a fluid interior, the solid outer layer undergoes libration independently, and drag forces drive a flow in the fluid. We investigate the dissipation in linear flows driven by small amplitude longitudinal librations in a rapidly rotating fluid sphere. We use analytic and numerical methods to solve the linearized problem in the frequency domain. We show that the dissipation depends on the frequency of the libration, is mainly the result of friction at the fluid-solid interface, and is reduced for specific frequencies that match inertial modes.
本代码仓库包含复现2024年7月15日提交评审的论文《弱纵向受迫振动引发的快速旋转流体球耗散》(Dissipation in rapidly rotating fluid spheres caused by weak longitudinal libration)所需的全部数据与代码,可用于复现该论文中的所有图表。此外还附带了用于生成该研究结果的线性数值代码及其使用示例。 论文研究概述:具有非球形质量分布的行星天体,会受到其轨道伴星施加的引力力矩。此类力矩的影响之一是调制行星的自转速率,该现象被称为纵向受迫振动(longitudinal libration)。对于内部含有流体的行星,其固态外层会独立发生受迫振动,而拖拽力会在流体内部激发流动。本研究针对快速旋转的流体球,探究由小振幅纵向受迫振动驱动的线性流动耗散问题。我们采用解析与数值方法求解频域内的线性化问题。结果表明,该耗散量取决于受迫振动的频率,主要源于固液界面处的摩擦作用,且在与惯性模态(inertial modes)匹配的特定频率下,耗散会出现减弱现象。



