Potential flow calculation by the approximate factorisation method
Potential flow calculation by the approximate factorisation method
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DOI：
10.1016/0021-9991(81)90230-8
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发表时间：
1981-07
影响因子：
4.1
通讯作者：
T. Baker
中科院分区：
文献类型：
--
作者：
T. Baker
本文研究了求解势流方程的近似因式分解技术，并导出了在变换坐标系中确定因式分解形式的条件。本文将此格式推广到跨音速流的计算中，通过求解势方程的非保守场来实现。然后给出了翼型跨音速升力流计算的几个结果。本文所描述的近似因式分解算法的收敛性与相应的行为的连续线超松弛方法的相同的流问题进行了比较。这些数值比较所示的收敛速度的改善表明，近似因式分解可以实现收敛的结果之间的5和10倍的速度比连续线超松弛方法迄今用于计算势流。
The approximate factorisation technique for solving the potential flow equation is studied and a condition is derived for determining the form the factorisation should take in a transformed coordinate system. An extension of this scheme to compute transonic flow by solving the nonconservative farm of the potential equation is described. Several results are then presented for the calculation of transonic lifting flow over an aerofoil. The convergence of the approximate factorisation algorithm described in this paper is compared with the corresponding behaviour of a successive line overrelaxation method for the identical flow problem. The improvement in convergence rate shown by these numerical comparisons indicates that approximate factorisation can achieve converged results between five and ten times faster than the successive line overrelaxation methods hitherto used to compute potential flow.