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对于三维流动问题的数值研究,描述了有限分析(FA)数值方法。为了将三维非恒定流纳维埃——斯托克斯方程写成代数表达式,FA 法将局部线性化方法和经典的解析解方法结合为一体。于是求得的28点 FA 表达式,给出了全部正的系数及所希望的迎风飘移。对于 R_e 数为100和400,用 FA 法求解了方腔流动。为了解决压力——速度耦合问题,利用SIMPLER 算法的简单变形。在与二维方腔流相比较时,求得的数值解表明,侧壁的存在,减小了主旋涡的强度。
For the numerical study of three-dimensional flow problems, a finite-analytic (FA) numerical method is described. In order to write the algebraic expression of the three-dimensional Navier-Stokes equations, the FA method combines the local linearization method with the classical analytical solution method. The 28-point FA expression thus obtained gives all positive coefficients and the desired upwind drift. For the R_e numbers of 100 and 400, the square cavity flow was solved by the FA method. In order to solve the pressure-velocity coupling problem, a simple deformation using the SIMPLER algorithm is used. When compared with two-dimensional square cavity flow, the numerical solution obtained shows that the existence of the side wall reduces the strength of the main vortex.