Numerical Simulation for Thermal Convection Based on Stabilized Bubble Function Finite Element Method

The purpose of our study is to make a computer program to analyze thermal convection on the basis of the stabilized finite element method using the bubble function element. As for the governing equation, the incompressible Navier-Stokes, the continuity, and the advection diffusion equations are employed, and the stabilized finite element and the Euler methods are applied to discretize the governing equation in space and time, respectively. The decoupled method is applied to divide the flow computation into the velocity and the pressure fields. The bubble function element is applied to interpolate the velocity and the temperature fields, and the linear triangular element is employed for the interpolation of the pressure field