不同马赫数的无粘和粘性流动高阶精度隐式计算方法

 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,该方法对低速到超音速范围内的无粘和粘性流动问题进行数值分析是可行而有效的。

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

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.