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本文采用数值方法求解时间相关三维可压缩雷诺平均Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程组，模拟激波—边界层—分离流相互干扰三维湍流流动。湍流模型为Ｂａｄｗｉｎ－Ｌｏｍａｘ两层代数模型，改进后用于三维内流问题。采用单元中心有限体积法离散流场控制方程，ＶａｎＬｅｅｒ矢通量格式计算无粘通量，中心差分法计算粘性通量，ＬＵＳＧＳ时间推进格式计算定常流场。本文以二元跨音速扩压器内三流动为算例，数值模拟较强激波—边界层—分离流相互干扰维湍流流动，并与实验结果进行了比较。数值模拟结果，在激波强度、分离点位置和再附点位置等方面，与实验结果吻合较好。
In this paper, the time-dependent three-dimensional compressible Reynolds-average Navier-Stokes equations are solved numerically to simulate the three-dimensional turbulent flow induced by the shock-boundary layer-separation flow. The turbulence model is a Badwin-Lomax two-level algebraic model, which is improved for three-dimensional inflow problems. The governing equations of discrete flow field in the finite element method of unit center, the flux free flow in VanLeer vector, the viscous flux in central difference method and the steady flow field in LUSGS time advancement were used. In this paper, we consider the triple-flow in the transonic transonic diffuser as an example, and simulate the interaction of the strong shock-boundary layer-separation flow with the turbulent flow, which is compared with the experimental results. The numerical simulation results are in good agreement with the experimental results in terms of shock intensity, location of the separation point and reattachment point.