Error Evaluation of Extended Finite Element Method for a Flow Field in a Channel Blocked by a Thin Membrane

Abstract

In a previous study, an extended finite element method was applied to the fluid analysis of a two-dimensional channel flow obstructed by a thin membrane, and the analytical error increased for a case with small number of membrane nodes. In this study, the number of membrane nodes and their arrangement in the triangular fluid elements are varied, and their effects on the analysis errors are discussed. As the result, the error increases sharply when the number of the membrane nodes is small, but this is not due to numerical integration but to the number and arrangement of the membrane nodes.