基于高精度加权紧致非线性格式的γ-Re_θ转捩模型标定与应用

Calibration and application of γ-Re_θ transition model based on high-order weighted compact nonlinear scheme

为准确模拟航空工程中的转捩问题,在高精度数值风洞平台上采用低速平板试验数据对基于高精度加权紧致非线性格式的γ-Re_θ转捩模型进行了标定,并在二维低速问题中进行了应用。计算结果与试验的对比表明:基于高精度加权紧致非线性格式的γ-Re_θ转捩模型可准确模拟自然转捩、旁路转捩及分离转捩的位置,并且具有较低的网格敏感性;在中等雷诺数范围,层流区域和湍流区域有相同量级时,计算必须采用转捩模型才能准确模拟阻力系数。

In order to accurately simulate the transition in aeronautical engineering, the low speed flat plate data was adopted for the calibration of γ-Reθ transition model based on high-order WCNS （weighted compact nonlinear scheme） on the platform of high-order numerical wind tunnel. Based on the calibrated transition model, the flow over the low speed airfoil was investigated. Comparison between the calculated results and the experiment data indicates that the γ-Reθ transition model based on WCNS can predict the location of nature transition, bypass transition or separation transition very well and has low mesh sensitivity ; only the transition model can calculate the drag coefficient accurately within a moderate Reynolds number range where the length of the laminar flow region is comparable to that of the turbulent flow region.