Numerical Simulation for Advection Phenomenon Based on the FEM Using Bubble Function Element

Abstract

In this paper, some numerical results for advection phenomenon are shown based on the FEM (Finite Element Method) using bubble function element. As the governing equation, the advection equation is employed, and the finite element method using the bubble function element is applied to discretize the governing equation. In addition, the stabilization control term is introduced in the finite element equation, and effect of the stabilization control term is shown in this paper.