圧縮性オイラーおよびナビエ・ストークス方程式を解くための気泡関数要素を用いた有限要素法

The purpose of this paper is to apply a stabilized finite element method using a new bubble element to the unsteady fluid flow expressed by the compressible Navier-Stokes equations to save efficient computational memory for computers. The formulation is based on the mixed interpolation for a transient term. The main idea of the present paper is the mixed interpolation of the transient term with bubble function as the weighting function and with linear function as the interpolation function. The stabilizing effect of the bubble function is effectively used. Temporal discretization is based on the theta method. The formulation leads to the stabilizing effect and efficiency to the unsteady fluid flow problems and is verified by the numerical studies, in which, a shock tube problem, Carter's flat plate problem and compression corner problem are carried out. The present method is shown to be useful for the computation of the compressible viscous flow.
JAXA Special Publication
宇宙航空研究開発機構特別資料