全隐式E-CUSP迎风格式大攻角分离流数值模拟

Numerical Simulation of Separated Flows Around Slender Body at High-Angle-of-Attack By Fully Implicit E-CUSP Upwind Scheme

采用全隐式、低耗散E-CUSP格式,通过求解雷诺平均Navier-Stokes方程耦合Spalart-Allmaras(SA)湍流模型,模拟了细长旋成体在超声速、大攻角下的流场,分析了背风面涡的发展过程.结果表明:E-CUSP格式耦合SA湍流模型能够准确地模拟背风面的流动分离和精细的二次涡,对横向分离具有较高的模拟精度;预测的物面压力系数分布和激波位置与实验数据吻合良好,力和力矩的相对误差在1.98%之内;E-CUSP格式可用于模拟复杂的分离流动,具有高的计算精度和效率.

Adopting a fully implicit low diffusion E-CUSP（LDE） upwind scheme,the turbulent flow fields around a slender body at supersonic and high-angle-of-attack is numerically simulated by solving Reynolds averaged Navier-Stokes equations coupled with Spalart-Allmaras turbulence model.The leeward vortices developing process is analyzed.The results show that LDE scheme with the Spalart-Allmaras turbulence model enables to simulate leeward flow separation and capture the subtle secondary vortices with high accuracy,and has high simulation precision for cross separation.The predicted pressure distributions on the wall and shock wave positions coincide well with the experiment,and the relative errors of the obtained forces and moments are within 1.98% compared with the experimental data,which demonstrates that LDE scheme can be used to simulate complex separated flows with high accuracy and efficiency.