全三维粘性流场计算的快速收敛方法

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。

Fast full 3-D viscous flow calculational method With multigrid acceleration technique

A practical engineering oriented method with multigrid acceleration technique based on a new Lower Upper implicit scheme and a fourth order high resolution MUSCL TVD scheme is presented for computing full 3 D viscous flow in turbomachinery. The computational effort due to dense grid needed near the solid boundaries is reduced using a wall function method. The simple mixing length model is adopted to close the Reynolds averaged Navier Stokes equations. The internal flow field of the NASA Lewis Rotor 37 was numerically analyzed using the calculational method. The results compare well with experimental data, indicating that this method has both the efficiency and accuracy needed by practical applications.