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中文摘要：
提出了数值求解二维非定常不可压涡量-速度变量Navier-Stokes方程组的一种高精度全隐式紧致差分格式,其空间为四阶精度,时间为二阶精度,并且是无条件稳定的。为了验证本文方法的精确性和可靠性,进行了数值实验,数值实验结果与精确解或文献中的结果吻合得很好。
英文摘要：
A high order full implicit compact finite difference scheme is proposed for solving the two-dimensional（2D） unsteady incompressible Navier-Stokes equations in vorticity-velocity formulation.The scheme is fourth order accurate in space and second order accurate in time and is unconditionally stable.Numerical experiments were conducted to demonstrate the accuracy and dependability of the present method and the computed results match well with the exact solution or numerical results in the literature.
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