Parallel Computing optimization of Two- Dimensional Mathematical Modeling of Contaminant Migration in Catalytic Porous Media

The mathematical model of a two-dimensional nonlinear case of contaminant migration to the filter traps in catalytic porous media in isothermal conditions is presented. The mathematical model takes into account the micro and the meso/macro scale factors of the mass transfer process. The numerical solution of the respective boundary value problem was obtained by the method of finite differences. Parallel computing optimization was conducted for numerical sweep method as well as for Orleans Grain management. The appropriate algorithmic complexity of the parallel block sweep method was shown. The general architecture of a new application was described. The resulted software was implemented in Microsoft Azure cloud computing platform. After a series of numerical experiments, the optimization performance results (speedup ratio and parallel efficiency) of a created solution were collected and discussed.