单山包和多山包绕流数值模拟研究

Numerical simulation based study on turbulent flow around single hill and multiple hills

本文分别采用标准k-ε模型、重整化数群k-ε模型(RNG k-ε)和雷诺应力模型(RSM)对二维单山包和多山包绕流进行了数值模拟,并将单山包和多山包绕流计算模拟结果与实验结果做对比分析。结果表明:(1)三种模型计算结果与实验数据基本吻合。对于单山包和多山包绕流数值模拟,三种模型是适用的。(2)不论平均速度,湍流动能还是回流区长度,k-ε两方程模型计算结果都略好于二阶矩模型(RSM)。(3)在充分发展湍流条件下数值模拟山包绕流,标准k-ε模型计算模拟结果比RNG k-ε模型略好。

The numerical simulations on the turbulent flow around single hill and multiple hills are made herein with the standard k-ε model, Renormalization Group k- ε model （RNG k-ε model） and Reynolds stress model （RSM） respectively, and then the comparative analysis is made between the results of the simulations and those from the relevant experiments. The results show that 1. the results of simulations made by all the three models are basically coincided with the experimental data, i. e. all of the models are suitable to simulate the turbulent flow around single hill and multiple hills ; 2. the calculation result from the k - ε two- equation model is better than that from the second-order model （RSM） regardless of the mean velocity, turbulence energy and recirculation length ; 3. the results of simulations made by the standard k -ε model are better than those from the RNG k - ε model, if simulating the turbulent flow around hill under the condition of full development of turbulence.