Simulation and study of stratified flows around finite bodies
Simulation and study of stratified flows around finite bodies
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有限体周围分层流的模拟与研究
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
P. Matyushin
中科院分区：
文献类型：
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作者：
V. Gushchin;P. Matyushin
本文研究了在线性密度分层粘性不可压缩流体中以U速度水平运动的球体和方柱的绕流问题。流动由Boussinesq近似下的Navier-Stokes方程描述。在很宽的无量纲参数范围内，详细分析了流动的空间涡结构的变化（如雷诺数Re = Ud/ν和内弗劳德数Fr = U/（Nd），其中ν是运动粘度，N是浮力频率）通过应用数学模拟（在俄罗斯科学院联合超级计算机中心的超级计算机上）和三维流动显示来计算。在0.005 < Fr < 100时，改进了球（1 < Re < 500）和柱（1 < Re < 200）的流态分类。在Fr = 0（即，在U = 0时），考虑了扩散诱导流通过球体导致在球体上下极附近形成水平密度层的问题。本文详细研究了在Fr = 0.1和Re = 50条件下，方柱绕流的定常流动的形成。
The flows past a sphere and a square cylinder of diameter d moving horizontally at the velocity U in a linearly density-stratified viscous incompressible fluid are studied. The flows are described by the Navier–Stokes equations in the Boussinesq approximation. Variations in the spatial vortex structure of the flows are analyzed in detail in a wide range of dimensionless parameters (such as the Reynolds number Re = Ud/ν and the internal Froude number Fr = U/(Nd), where ν is the kinematic viscosity and N is the buoyancy frequency) by applying mathematical simulation (on supercomputers of Joint Supercomputer Center of the Russian Academy of Sciences) and three-dimensional flow visualization. At 0.005 < Fr < 100, the classification of flow regimes for the sphere (for 1 < Re < 500) and for the cylinder (for 1 < Re < 200) is improved. At Fr = 0 (i.e., at U = 0), the problem of diffusion-induced flow past a sphere leading to the formation of horizontal density layers near the sphere’s upper and lower poles is considered. At Fr = 0.1 and Re = 50, the formation of a steady flow past a square cylinder with wavy hanging density layers in the wake is studied in detail.