摘要
基于多块粘性结构网格,开展了三维N-S方程数值算法的研究。控制方程的空间离散采用有限体积法,在前人工作的基础上,发展了Van Leer+AUSM混合格式并应用到对流通量的离散中,粘性项采用中心格式离散并利用格林定理计算粘性通量中的导数项,时间推进采用五步R-K法,湍流模型为S-A一方程模型。最后,以M6机翼和某超声速弹丸的粘性流场作为数值算例,计算表明:发展的数值算法对跨声速、超声速流场均具有较高的分辨率,适用于跨、超声速流场的数值模拟。
Numerical Simulation of N-S Equations Based on Van Leer+AUSM Scheme has been developed in this paper.Patched grid method is used to generate viscous grids.Finite volume method is used in spatial discrimination,Van Leer+AUSM flux splitting scheme is developed to calculate the convection flux,the viscous flux is calculated by central finite volume scheme.The multistage five Runge-Kutta time-stepping scheme is applied to temporal discretisation.Spalart-Allmaras one-equation turbulence model is implemented to evaluate the turbulent viscosity.Finally,transonic M6 wing flowfield and supersonic misslie flowfield were simulated to validate its accuracy and ability to deal with complex flow.
出处
《航空计算技术》
2010年第6期30-34,共5页
Aeronautical Computing Technique
基金
"十一五"气动预研资助项目
教育部博士点基金(20093219120031)资助项目
南京理工大学科研发展基金(XKF09030)资助项目
作者简介
王学德(1977-),男,山东德州人,副教授,博士,研究方向为计算空气动力学。