Mathematical Model of the Propagation of Radioactive Impurities in the Atmosphere and a Numerical Algorithm for Solving the Problem using the Splitting Method

In this research, the splitting into physical processes approach is used to numerically predict the propagation of radioactive contaminants in the environment. The movement, diffusion, and absorption of radioactive particles inside the air mass are all described by the mathematical model. An implicit finite-difference technique with a second order of accuracy in both time and space is employed to tackle the problem. A number of variables, including wind speed, particle deposition, absorption coefficient, wet deposition and radioactive decay, were taken into consideration for modeling. A thorough algorithm for the numerical solution is provided, which includes employing the sweep method to solve a system of linear algebraic equations and dividing the problem into smaller problems based on physical processes.