Influence of Grid Resolution and Reynolds Number on Flow around Ship Propeller in Large Scale LES Simulation

Takeharu Fujisawa, M. Tsubokura, Hisao Tanaka
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Abstract

Numerical methods based on CFD (Computational Fluid Dynamics) are rapidly expanding their application range, especially with recent remarkable developments in computer performance. Currently, the RANS (Reynolds average Navier-Stokes equation) model, which is a time-averaged model of turbulent flow, is generally used for ship performance estimation. The estimation accuracy of a turbulence model using numerical methods can be improved by adjusting the model with more accurate and detailed flow field data. However, it is still difficult to obtain detailed flow field data through experiments on actual ships and scale models. In a LES (Large Eddy Simulation) model, which is used to spatially filter turbulent flow, if the grid resolution (filter size) is fine, the limitations imposed by the model itself are reduced. LES simulations performed with a sufficiently grid resolution are known to achieve the same estimation accuracy as DNS (Direct Numerical Simulation) but with a lower computational load. Based on these considerations, as the first attempt at practical estimation of ship performance by numerical calculation considering turbulence, large-scale LES simulations were carried out using “K computer” for a marine propeller in open water. In this paper, the authors show how the grid resolution affects the estimation of propeller performance and flow around the propeller, and the influence of the Reynolds number on the calculation results.
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大尺度LES模拟中网格分辨率和雷诺数对船舶螺旋桨绕流的影响
基于CFD(计算流体动力学)的数值方法正在迅速扩大其应用范围,特别是随着近年来计算机性能的显著发展。目前,船舶性能估计一般采用Reynolds平均Navier-Stokes方程(RANS)模型,它是一种时间平均的湍流模型。利用更精确、更详细的流场数据对模型进行调整,可以提高数值方法对湍流模型的估计精度。然而,通过实际船舶和比例模型的实验,仍然难以获得详细的流场数据。在用于对湍流进行空间过滤的LES (Large Eddy Simulation)模型中,如果网格分辨率(过滤器尺寸)较好,则可以减少模型本身施加的限制。已知在足够的网格分辨率下进行的LES模拟可以达到与DNS(直接数值模拟)相同的估计精度,但计算负荷较低。基于这些考虑,作为首次尝试通过考虑湍流的数值计算实际估计船舶性能的尝试,利用“K计算机”对开放水域的船用螺旋桨进行了大尺度LES模拟。在本文中,作者展示了网格分辨率如何影响螺旋桨性能和螺旋桨周围流动的估计,以及雷诺数对计算结果的影响。
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