正規化気泡関数を用いたNavier-Stokes方程式における分離型有限要素法

概要

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In this paper, we propose a new finite element formulation with bubble function for Navier-Stokes equations. As the numerical approach, the spacial discretization is applied the mixed interpolations for velocity and pressure fields by the bubble element and linear element, respectively. The fractional step method based on the implicit time integration is used for the discretization. This temporal discretization is applied by quasi-linear form which is second order implicit time. The bubble element can be obtained by adding the scaled bubble function to the linear element, of which the shape can be changed to attain optimal numerical viscosity. To verify applicability of presented bubble function, the cavity flow and the standing vortex problem are performed for the numerical examples.
前橋工科大学の論文
1999-03-25