不同马赫数的无粘和粘性流动高阶精度隐式计算方法  

HIGH-ORDER-ACCURATE IMPLICIT COMPUTATIONAL METHOD OF INVISCID AND VISCOUS FLOWS AT VARIOUS MACH NUMBERS

作　　者：赵兴艳[1] 苏莫明[2] 张楚华[1] 苗永淼[1] 

机构地区：[1]西安交通大学流体机械系,陕西西安710049 [2]西北工业大学航空动力系,陕西西安710072

出　　处：《航空学报》2001年第1期15-18,共4页Acta Aeronautica et Astronautica Sinica

摘　　要：应用隐式时间推进法对不同马赫数的无粘和粘性流动进行数值分析 ,给出了基于预处理方法的高阶精度隐式求解方法。方程离散采用改进的高阶精度对流迎风分裂格式。该方法通过求解曲线坐标系可压缩Euler和 Navier-Stokes方程 ,对低速到超音速范围内的无粘和粘性流动的典型问题进行了数值分析。计算结果与文献的数值结果或实验数据对比分析表明 。A high order accurate computational method based on a time derivative preconditioning algorithm is developed in order to calculate inviscid and viscous flows at various Mach numbers by using the implicit time marching method. The equations are discretized using a high order accurate AUSMPW scheme. The present algorithm is extended to the multidimensional curvilinear coordinates systems, and it is applied to numerical solution of the compressible Euler and Navier Stokes equations. Computational capabilities are demonstrated through computation of a wide variety of problems. Comparison of calculation with available numerical and experimental data in literature shows that the algorithm is accurate, self adaptive and stable for a wide range of flow conditions from inviscid to viscous flows and from low speed to supersonic flows.

关 键 词：计算流体动力学 隐式时间推进法 预处理算法 高阶精度 曲线坐标系 计算空气动力学 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]