流速とBernoulli関数の同時緩和法を用いた三次元非圧縮粘性流れの有限要素解析 : 第1報, Re=5000の立方体キャビティ内流れ

概要

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A simple finite-element method for incompressible viscous flow is presented. This method is a simplified version of the GSMAC finite-element method, and it is applicable to large systems. Navier-Stokes equations in rotational form and the equation of continuity are employed as the governing equations. A time dependent solution is obtained by the following procedures. (1) Prediction of velocity field by explicit time advancement. (2) Correction of both velocity and Bernoulli function by simultaneous relaxation satisfying the equation of continuity. Unsteady flow in a lid-driven cubic cavity at the Reynolds number of 5000 is numerically investigated to verify the present method. Velocity profiles in the cavity are in good agreement with the experimental results by Prasad. The present method is stable in three-dimensional analysis and non physical pressure oscillations are not observed.
一般社団法人日本機械学会の論文
1991-08-25