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以新的高收敛率的 L U型隐式格式和高精度、高分辨率的 MU SCL TVD迎风格式为基础 ,提出了一种快速求解三维粘性流场的计算方法。为有效减少计算工作量 ,近固壁区采用了壁面函数方法。湍流模型采用简单的混合长度模型。为提高迭代收敛速度 ,从多重网格理论出发 ,结合改良型L U隐式和迎风格式 ,对 Reynolds平均三维可压缩 Navier-Stokes方程进行求解。用此方法数值模拟了 NASA L ewis37跨音速压气机转子流场。计算得到的流场与实验结果进行了对比。结果表明 ,此方法可快速得到三维粘性流场的流动特性且计算结果精度较高 ,可望在叶轮机械多叶片排全三维粘性流场校核计算中发挥作用。
Based on the new LUC implicit scheme with high convergence rate and the MU SCL TVD upwind scheme with high precision and high resolution, a computational method for solving the three-dimensional viscous flow field is proposed. In order to reduce the computational workload effectively, the wall function method is adopted in the near-solid wall area. Turbulence models use a simple mixture length model. In order to improve the iterative convergence rate, the Reynolds averaged three-dimensional compressible Navier-Stokes equations are solved based on the multi-grid theory and the modified L U implicit and windward formats. The flow field of NASA Lewis 37 transonic compressor rotor is numerically simulated by this method. The calculated flow field is compared with the experimental results. The results show that this method can quickly obtain the flow characteristics of the three-dimensional viscous flow field and the calculation accuracy is high, which is expected to play a role in the verification of the full three-dimensional viscous flow field of the impeller mechanical multi-blade row.