不同马赫数Navier-Stokes方程计算方法的研究  

A Computational Method for the Navier-Stokes Equations at All Speeds

作　　者：赵兴艳[1] 苏莫明[2] 苗永淼[1] 

机构地区：[1]西安交通大学流体工程系,西安710049 [2]西北工业大学航空动力系,西安710072

出　　处：《应用数学和力学》2002年第4期429-435,共7页Applied Mathematics and Mechanics

摘　　要：为了在低马赫数到高马赫数范围内求解可压缩Navier_Stokes方程 ,给出了基于预处理算法的PLU_SGS方法·　将高分辨率AUSMPW格式与三阶MUSCL格式融合 ,将其扩展到三阶精度 ,并采用特征边界条件·　为了验证该方法的有效性 ,通过求解曲线坐标系可压缩Navier_Stokes方程 ,对几个典型流动问题进行了数值计算·　计算结果与文献计算结果或实验数据比较表明 ,该方法对不同马赫数Navier_Stokes方程的计算 。A PLU-SGS method based on a time-derivative preconditioning algorithm and LU-SGS method is developed in order to calculate the Navier-Stokes equations at all speeds. The equations were discretized using AUSMPW scheme in conjunction with the third-order MUSCL scheme with Van Leer limiter. The present method was applied to solve the multidimensional compressible Navier-Stokes equations in curvilinear coordinates. Characteristic boundary conditions based on the eigensystem of the preconditioned equations were employed. In order to examine the performance of present method, driven-cavity flow at various Reynolds numbers and viscous flow through a convergent-divergent nozzle at supersonic were selected to test this method. The computed results were compared with the experimental data or the other numerical results available in literature and good agreements between them are obtained. The results show that the present method is accurate, self-adaptive and stable for a wide range of flow conditions from low speed to supersonic flows.

关 键 词：非线性双曲型方程 计算流体动力学 预处理算法 隐式时间推进法 特征边界条件 高阶精度 

分 类 号：O354[理学—流体力学]