Simulation of the impregnation in the porous media by the Self- organized Gradient Percolation method

TL;DR

This paper introduces a Self-organized Gradient Percolation algorithm for simulating reactive impregnation in porous media, significantly reducing computational time compared to classical numerical methods like finite element or finite volume methods.

Contribution

The novel Self-organized Gradient Percolation method offers an efficient alternative for simulating impregnation in porous solids, overcoming computational limitations of traditional approaches.

Findings

Reduces CPU time drastically

Maintains accuracy without small step-time or mesh size

Avoids spurious oscillations in simulations

Abstract

Many processes can correspond to reactive impregnation in porous solids. These processes are usually numerically computed by classical methods like finite element method, finite volume method, etc. The disadvantage of these methods remains in the computational time. The convergence and accuracy require a small step-time and a small mesh size, which is expensive in computational time and can induce a spurious oscillation. In order to avoid this problem, we propose a Self-organized Gradient Percolation algorithm. This method permits to reduce the CPU time drastically.