Flow over finite isolated topography

Flow over finite isolated topography
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有限孤立地形上的流动

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发表时间:
1990
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通讯作者:
L. Thompson
L. Thompson
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作者:
L. Thompson

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摘要:采用一层和两层模型研究轴对称孤立地形上的流动。采用一层准地转模型求解了摩擦问题无粘极限下β平面上泰勒柱的形状。采用迭代边界积分法求解。研究了有限地形上的单层模型和准地转双层模型。当β效应较大时,准地转解与有限深度解存在质的差异。在两层模型中,地形一路穿过下层,一阶罗斯比数进入上层。提出了一种改进的等高线动力学方法,扩展了等高线动力学的应用范围,并用于研究地形上流动的初值问题。在正压模式中,当地形填满大部分水柱时,流体在地形上下振荡。在小地形的准地转两层模型中,当地形有限时,涡流是表面强化的。
Abstract : One and two layer models are used to study flow over axisymmetric isolated topography. A one-layer quasi-geostrophic model is used to find the shape of Taylor columns on the Beta-plane in the inviscid limit of the frictional problem. An iterative boundary integral technique is used to find the solution. Flow over finite topography in a one-layer model and a quasi- geostrophic two-layer model is studied. Qualitative differences exist between the quasi-geostrophic solution and the finite depth solution when the effect of Beta is large. In the two-layer model, the topography goes all of the way through the lower layer and an order Rossby number amount into the upper layer. A modified contour dynamics method is developed that extends the range of problems to which contour dynamics can be applied and is used to study the initial value problem of flow over topography. When the topography fills up most of the water column in a barotropic model, fluid oscillates on and off the topography. In a small topography quasi-geostrophic two-layer model, and eddy is shed which is surface-intensified when the topography is finite.