计算机翼跨声速压力分布的格林函数方法

A GREEN'S FUNCTION METHOD FOR CALCULATING THE TRANSONIC PRESSURE DISTRIBUTION OF WING

本文给出一种用格林定理将跨声速小扰动速势方程化成积分方程式,然后进行数值求解的方法,文中对场元强度进行松弛迭代,一般只需20次左右即达收敛。算例表明,该方法结果与差分法结果一致。

A Green's Function Method for solving the steady nonlinear three-dimensional potential equation is proposed . The Green's theorem is used to transform the partial different equation into a intagral equation. The intagral equation is discretizied by finite element and finite different methods. The obtained nonlinear simultaneous equations are solved by relaxation-iteration methods. In this paper, the influence coefficients represented by volume integrals are transformed to surface integrals by using the Gaussian theorem, so the analytical forms of these coefficients can be obtained and this leads to be convenient to analyse and compile computer pregram. The numerical examples show that the results of the present method are in good agreement with those of finite difference method.