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本文的主要目的是建立非恒定二维纳维埃——斯托克斯方程的有限分析(FA)数值解。FA 法是在局部小单元内利用解析解将偏微分方程写成代数表达式。在本文中采用满足控制方程的线性和指数函数的组合作为边界函数,从而改善了有限分析解的精度。用 FA 法求解了两种流动:一是起始空腔流动,另一是矩形块体后面的旋涡脱落流动。为了证明 FA解的精度和稳定性,对 R_6=400,1000和2000求解了矩形起始空腔流动。对 R_e=100和500
The main purpose of this paper is to establish the Finite Analytical (FA) numerical solution of a non-constant two-dimensional Navier-Stokes equation. The FA method is to use the analytic solution to write partial differential equations into algebraic expressions in local small units. In this paper, a combination of linear and exponential functions that satisfy the governing equations is used as a boundary function to improve the accuracy of the finite analytic solution. Two kinds of flow were solved by the FA method: one is the initial cavity flow, the other is the vortex shedding flow behind the rectangular block. To prove the accuracy and stability of the FA solution, the rectangular initial cavity flow was solved for R_6 = 400, 1000 and 2000. For R_e = 100 and 500