提出一个用自适应流线网格计算定常超声速流场的数值方法。Friedrichs-Lax格式推广到任意四边形网格,在迭代过程中得到速度场后,从流线方程计算流线的位置,最后算出由本方法得到高分辨率结果

用一阶精度的Friedrichs-Lax有限差分逼近流线坐标系中守恒方程组,得到分辨度十分清晰的冲击波、稀疏波和波的相互作用等物理图像。

In this paper a Lax-Wendroff type scheme with predictor-corrector is presented for solving the hyperbolic equations of fluid flow. The predictor solutions without introducing nonphysical oscillation are obtained by the method of flux vector splitting. The numerical flux of the corrector step is an anti-diffusive term, on which contraints are imposed to decrease the oscillation. Numerical experiments are presented to illustrate the performance of our proposed scheme.