一种改进的流场计算加速收敛方法  

MODIFIED RESIDUAL AVERAGE METHOD TO ACCELERATE CONVERGENCE

作　　者：刘志坚[1] 韩振学[1] 方韧[1] 

机构地区：[1]北京航空航天大学404教研室

出　　处：《航空学报》1997年第4期451-454,共4页Acta Aeronautica et Astronautica Sinica

摘　　要：探讨了二维非结构网格无粘流场计算的加速方法。在对残差平均和多重网格这两种主要加速方法进行分析后，提出了一种改进的兼具多重网格思想的残差平均方法。经对绕ＮＡＣＡ００１２翼型无粘流动计算的验证，收效明显。在几乎不增加计算量的情况下，比原有的残差平均方法可减少迭代步２５％～３０％。该思想可推广用于三维、有粘流动计算和结构化网格中。The Euler equations are solved numerically for 2 D steady flow on unstructured triangular grids with special concern on converging preformance. Using a cell centered upwind finite volume method, the flow solver utilizes a three stage Runge Kutta time integration scheme with Roe's flux function. The convergence of the solver is accelerated by local time stepping and residual average methods. The solver is speeded up more by modifying residual average with careful examination of the relation between residue average and multi grid methods. The numerical algorithm is applied for flow over an NACA 0012 airfoil with satisfactory effect. Compared with the original method, the modified method can decrease 20% 30% running time without increasing work effort. The developed method can be used in numerical simulation of three dimensional viscous flow, and on structured grids with ease.

关 键 词：计算流体动力学 非结构网格 加速收敛 

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]