高阶精度方法下的湍流生成项对跨声速流动数值模拟的影响研究

Numerical study of the effect of turbulent production terms on the simulation of transonic flows with high-order numerical method

  • 摘要: 利用五阶空间离散精度的WCNS格式和多块结构网格技术,通过求解雷诺平均NS方程,开展了SST两方程模型不同湍流生成项组合方式对跨声速流动数值模拟影响的计算分析。研究的主要目的是为高阶精度格式在复杂外形上的工程应用提供技术支撑。计算模型采用了RAE2822超临界翼型和DLR-F6翼身组合体构型。研究内容主要包括不同湍流生成项对残差收敛历程、边界层湍流粘性系数分布、边界层速度分布、压力系数分布以及模型整体气动力特性的影响。不同湍流生成项组合方式的流场计算结果还与风洞试验数据进行了对比。研究结果表明:对于小迎角不存在明显分离的跨声速流动,不同湍流生成项对流场的高精度计算结果的影响很小,可以不用考虑。

     

    Abstract: The effect of different definitions of turbulence production terms in SST turbulence model on the transonic flow simulation is investigated numerically through solving the Reynolds-Averaged Navier-Stokes (RANS) equations with the use of fifth-order weighted compact nonlinear scheme (WCNS) and multi-block structured grid technology. The main purpose of present work is to provide technical support for engineering applications of high-order difference schemes on complex configurations. RAE2822 subcritical airfoil and DLR-F6 wing body configuration are adopted as the computational models in the paper. The numerical investigation focuses mainly on the influence of different definitions of turbulence production terms in SST turbulence model on residual convergence process, turbulent viscosity and velocity distribution in boundary layer, pressure coefficients and aerodynamic characteristics. The flow solutions with different definitions of turbulence production terms are also compared with some wind tunnel test results. The investigation shows that the influence of different definitions of turbulence production terms on high-order simulation is so trivial that no further consideration is needed for transonic flows without large separation bubble under a small angle of attack.

     

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