The navier - stokes equation is discretized in the moving - grid system . by adopting the explicit four - stage runge - kutta jameson finite volume scheme , and under the sustainment of acceleration algorithms such as dual - time stepping method , the multi - grid strategy and implicit smoothing of the residuals , a two dimensional unsteady viscous flow in vibrating cascades is simulated 本文在運動網格體系中離散n - s方程,應用runge - kutta四步顯式的jameson有限體積格式,并在雙時間方法、多重網格法及殘差光順等加速算法的支持下,計算了二維振動葉柵非定常粘性流場。