Numerical Simulation Of Helium-Radon Clusters Migration Based On Finite Difference Method

Radon has both advantages and disadvantages to human, and the study of radon migration promotes the research of radon application and harm, and the theory of helium-radon clusters plays a significant role in the field of radon migration. In recent years, numerical simulation of radon migration has become the hot spot in the study of mechanism of radon migration.The earlier experiments indicate that the migration of radon under ideal conditions based on both the mechanism of diffusion and helium-radon clusters. In this paper, the improved mathematical model of the helium-radon clusters migration would be given, and the migration of clusters would be studied by computer simulation methods. The partial differential equations have been used in the mathematical model and been discretized into finite difference equations, and the discretization is performed by using the finite difference method. The two-dimensional,three-dimensional and four-dimensional finite difference equations would be given in this paper, and the corresponding difference girds models were established. The finite difference equations were solved by using speedup method or Monte Carlo method. Programming would be performed on the MATLAB platform to solve the problem of calculation, and the parallel computing technology would be used in the process of programming, and the results of numerical simulation would be described through graphics.An experiment would be completed in the PVC tube under the condition of sealing,to eliminate the change of temperature,pressure and convection in the process of radon migration. Some meaningful conclusions were gained through comparing the experimental data and computer simulation results. It turns out that the computer simulation results correspond to the experimental data. The computer simulation methods used in the paper are successful and effective, and provide new ways for radon migration research.