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

机译:基于稳定气泡函数有限元方法的热对流数值模拟

摘要

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.
机译:我们的研究目的是制作一个计算机程序,以使用气泡函数单元的稳定有限元方法为基础,分析热对流。对于控制方程,采用不可压缩的Navier-Stokes方程,连续性方程和对流扩散方程,分别采用稳定的有限元法和Euler方法离散化控制方程的时空分布。应用解耦方法将流量计算分为速度场和压力场。气泡函数元素用于对速度和温度场进行插值,而线性三角形元素用于对压力场进行插值。

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