基于压力的高阶精度隐式格式的研究及应用  

NUMERICAL INVESTIGATION OF A HIGH-ORDER-ACCURATE IMPLICIT SCHEME BASED ON PRESSURE

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,西安710049 [2]西北工业大学,西安710072

出　　处：《数值计算与计算机应用》2002年第1期41-51,共11页Journal on Numerical Methods and Computer Applications

摘　　要：In this paper, a PLU-AUSMPW+ method based on a time-derivative preconditioning algorithm by using LU-SGS method and AUSMPW+ scheme is presented, in order to calculate compressible flows from low Mach number subsonic to supersonic. The third-order MUSCL scheme with Van Leer limiter is used to extend the basic first-order AUAMPW+ scheme to third-order spatial accuracy for all test cases. The PLU-AUSMPW+ method is applied to calculation for two-dimensional compressible Euler and Navier-Stokes equations. The convergence, stability and accuracy of the PLU-AUSMPW+ method are demonstrated through computation of a wide variety of problems. The computed results are compared with the experimental data or the other numerical results available in literatures, and good agreements between them are obtained.In this paper, a PLU-AUSMPW+ method based on a time-derivative preconditioning algorithm by using LU-SGS method and AUSMPW+ scheme is presented, in order to calculate compressible flows from low Mach number subsonic to supersonic. The third-order MUSCL scheme with Van Leer limiter is used to extend the basic first-order AUAMPW+ scheme to third-order spatial accuracy for all test cases. The PLU-AUSMPW+ method is applied to calculation for two-dimensional compressible Euler and Navier-Stokes equations. The convergence, stability and accuracy of the PLU-AUSMPW+ method are demonstrated through computation of a wide variety of problems. The computed results are compared with the experimental data or the other numerical results available in literatures, and good agreements between them are obtained.

关 键 词：高阶精度隐式格式 计算流体力学 压力 数学模型 可压缩流动 

分 类 号：O351[理学—流体力学]