PV-Wave分解与分层Couette流的组合波效应
PV-Wave Decomposition and Combined Wave Effects for Stratified Couette Flows
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中文总结 AI 辅助
针对Couette流稳定性分析，提出PV-Wave分解策略构造适配能量变量，应用于Boussinesq MHD与旋转Boussinesq系统，量化Alfvén-重力波与惯性-重力波相互作用产生的无粘阻尼与参数依赖放大。
中文摘要 AI 辅助
受一类由守恒模态与一对振荡模态耦合组成的三分量Fourier ODE系统的启发，我们发展了一种“势涡-波”（PV-Wave）分解策略，用于在Couette流稳定性分析中构造适配的能量变量。该策略分离守恒的势涡分量，对称化剩余的波子系统，并引入额外的修正项以控制由时间依赖的Fourier系数产生的耦合。我们应用此框架研究三维Boussinesq MHD系统和旋转Boussinesq系统在Couette流中的线性化动力学，并量化由Alfvén-重力波与惯性-重力波相互作用引起的无粘阻尼和参数依赖的放大效应。
英文摘要
Motivated by a class of three-component Fourier ODE systems consisting of a conserved mode coupled to a pair of oscillatory modes, we develop a "potential-vorticity-wave" (PV-Wave) decomposition strategy for constructing adapted energy variables in the stability analysis of Couette flows. The strategy separates the conserved potential-vorticity component, symmetrizes the remaining wave subsystem, and introduces an additional correction to control the couplings generated by time-dependent Fourier coefficients. We apply this framework to study the linearized dynamics of 3D Boussinesq MHD system and Rotating Boussinesq system for Couette flows and quantify the inviscid damping and parameter-dependent amplification arising from the interaction of Alfvén-gravity waves and inertial-gravity waves.
发表机构
- University of Bath（巴斯大学）
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