Diffusion model and analysis of diffusion process at lagrangian method

TL;DR

This paper introduces a novel approach combining diffusion models with Lagrangian methods to analyze diffusion processes, based on Fick's second law, aiming to improve prediction accuracy.

Contribution

It develops a moving particle semi-implicit method integrated with diffusion modeling, offering a new framework for analyzing diffusion processes at a Lagrangian level.

Findings

Enhanced prediction accuracy of diffusion processes

Effective modeling of particle movement in diffusion

Validation against classical diffusion models

Abstract

Based on Fick's 2nd law the development of moving particle semi-implicit method for predicting diffusion process is proposed in this study