提出一种适合亚音速流动计算的变分差分方法.该方法结合变分原理以及方向全导数差分公式构造单元节点间的关系,是一种非常简便有效的离散方法.运用该方法对二维圆柱绕流和NACA0012翼型绕流进行计算,结果表明,该方法在亚音速流动模拟中具有较高的计算精度.
A variation-difference method(VDM) is developed for computation subsonic flow.This method is simple and effective in constructing the relationship between cell nodes by combining the variational principle with the differential formula derived from directional derivative.The method is implemented in computations of the flows over circular cylinder and the NACA0012 airfoil.Numerical results show that VDM has high accuracy in subsonic flow simulation.