粘性分层剪切流的物理光学近似研究

Motion of a sphere in a viscous density stratified fluid

We examine the translation of a sphere in a stably stratified ambient in the limit of small Reynolds ($Re \ll 1$) and viscous Richardson numbers ($Ri_v \ll 1$); here, $Re = \frac{ρUa}μ$ and $Ri_v = \frac{γa^3 g}{μU}$ with $a$ being the sphere radius, $U$ the translation speed, $ρ$ and $μ$ the density and viscosity of the stratified ambient, $g$ the acceleration due to gravity, and $γ$ the density gradient (assumed constant) characterizing the ambient stratification. In contrast to most earlier efforts, our study considers the convection dominant limit corresponding to $Pe = \frac{Ua}{D} \gg 1$…

Well-posedness of strong solutions to the anelastic equations of stratified viscous flows

We establish the local and global well-posedness of strong solutions to the two- and three-dimensional anelastic equations of stratified viscous flows. In this model, the interaction of the density profile with the velocity field is taken into account, and the density background profile is permitted to have physical vacuum singularity. The existing time of the solutions is infinite in two dimensions, with general initial data, and in three dimensions with small initial data.

粘性密度分层流体中运动球体引起的流场

The flow field due to a sphere moving in a viscous, density stratified fluid

研究粘性密度分层流体中小雷诺数平移球体引起的流场，发现反向射流实为多环形涡胞柱状结构，并给出其边界、涡胞数量及扩散影响下的多尺度衰减规律。

含颗粒分层流中Basset-Boussinesq力的界

Bounds to the Basset-Boussinesq force on particle laden stratified flows

本文针对稳定分层地球物理流中的轻质颗粒，推导并数值验证了Basset-Boussinesq力大小的严格界，证明当浮力Stokes数较小时该力可忽略，并指出其对多数海洋颗粒可忽略、仅在强分层或大惯性时需考虑。

用于分层流能量学局地与区域研究的能量一致局地化 APE 收支

Energetically consistent localised APE budgets for local and regional studies of stratified flow energetics

针对局地和区域分层流能量分析中 APE 参考态不一致的问题，本文提出精确平均/涡旋分解框架，将局地化 APE 定义为涡旋分量，并建立其与分子耗散及参数化能量传递的严格联系。

The Universal Aspect Ratio of Vortices in Rotating Stratified Flows: Theory and Simulation

We derive a relationship for the vortex aspect ratio $α$ (vertical half-thickness over horizontal length scale) for steady and slowly evolving vortices in rotating stratified fluids, as a function of the Brunt-Vaisala frequencies within the vortex $N_c$ and in the background fluid outside the vortex $\bar{N}$, the Coriolis parameter $f$, and the Rossby number $Ro$ of the vortex: $α^2 = Ro(1+Ro) f^2/(N_c^2-\bar{N}^2)$. This relation is valid for cyclones and anticyclones in either the cyclostrophic or geostrophic regimes; it works with vortices in Boussinesq fluids or ideal gases, and the backg…