The paper presents a numerical study of the efficiency of the newly proposed far-field boundary simulations of wall-bounded, stably stratified flows. The comparison of numerical solutions obtained on large and truncated computational domain demonstrates how the solution is affected by the adopted far-field conditions. The mathematical model is based on Boussinesq approximation for stably stratified viscous variable density incompressible fluid. The three-dimensional numerical simulations of the steady flow over an isolated hill were performed using a high-resolution compact finite difference code, with artificial compressibility method used for pressure computation. The mutual comparison of the full domain reference solution and the truncated domain solution is provided and the influence of the newly proposed far-field boundary condition is discussed.

中文翻译：

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边界稳定层流人工边界条件的数值评估

本文提出了对壁边界稳定分层流新提出的远场边界模拟效率的数值研究。在大的和截断的计算域上获得的数值解的比较表明，解如何受到采用的远场条件的影响。该数学模型基于Boussinesq逼近，用于稳定分层的粘性可变密度不可压缩流体。使用高分辨率紧凑型有限差分代码，并使用人工可压缩性方法进行压力计算，对孤立山上的稳定流进行了三维数值模拟。