流速修正法を用いた二次元有限要素法流れ解析
1988 年 1988 巻 398 号 p. 51-59
詳細
1988 年 1988 巻 398 号 p. 51-59
In this paper, a finite element method based on the velocity correction method is presented. However there arise difficulties about the boundary conditions which have been used for the solution of the pressure Poisson equation. For example, in the calculations of the conventional analysis, uniform pressure (P=O) or normal gradient of pressure equal to zero (∂P/∂n=0) has been adopted especially on the open boundary which is artificially introduced as the limitation of the calculation domain for the sake of analysis convenience. However, these boundary conditions are false because the pressure on the boundary can not be prescribed in general for the time-dependent problems. In order to improve these boundary conditions, a new approximation method is proposed in which the boundary pressure Poisson equation is solved for each time step.
The method presented in this paper employes the linear interpolation functions based on the quardrilateral isoparametric elements.
