通量限制器对算法性能的影响  

Effect of Flux Limiter on Performance of Algorithm

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：《力学季刊》2000年第2期187-191,共5页Chinese Quarterly of Mechanics

摘　　要：在非正交曲线坐标系下,本文给出了求解非线性双曲型Euler方程的LU-AUSMLW算法。为了改进该算法的性能,将高分辨率AUSMPW格式的空间精度由一阶精度扩展到三阶精度。分析了选择通量限制器对算法稳定性、收敛性和精度的影响,并构造了一种新的通量限制器。本文数值结果表明,通量限制器是决定LU-AUSM-PW算法性能的关键因素,并且该算法采用本文构造的通量限制器,求解非线性双曲型Euler方程,具有较高的计算精度、较快的收敛速度和良好的稳定性。A LU - AUSMPW alogrithm in generalized coordinates is developed and applied to solve the nonlinear hyperbolic Euler equations. In order to improve the performance of the present algorithm, the third - order MUSCL scheme with Van Leer limiter is used to extend the basic first - order AUSMPW scheme to third - order spatial accuracy . Choice of flux limiter that can affect the stability, the convergence and the accuracy of the overall algorithm are analyzed. A new flux limiter is presented. The numerical results presented in this paper show that the flux limiter is a crucial component of the overall algorithm, and the LU - AUSMPW schemes in conjunction with present flux limiter possess obvious superiority in terms of the convergence rate, accuracy and stability for calculating nonlinear hyperbolic Euler equations.

关 键 词：非线性双曲型方程 跨音速流动 激波 通量限制器 

分 类 号：O354.2[理学—流体力学]