正方形キャビティ内流れの指数関数型 Petrov-Galerkin 有限要素解析

概要

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Application of a new finite element method to the two-dimensional square cavity flow of incompressible viscous fluid is discussed for the high Reynolds number regions. The finite element method is developed with the Petrov-Galerkin procedure using exponential-type test functions. The incompressible Navier-Stokes equations are discretized by means of a semi-explicit scheme in which velocity is treated explicitly and pressure is treated implicitly with respect to time variable. As the time-marching scheme, the fractional step method is used effectively in this study. The validity of the method is shown for unsteady flow with Re=10^3-10^4 through comparison with other existing numerical solutions. For unsteady flow at Re=10^5 it is observed that the flow in a cavity is very complex using numerical results and simulation of the results.
一般社団法人日本機械学会の論文
1993-05-25