February 4, 2025
Journal Article

A Finite Difference informed Random Walker (FDiRW) solver for strongly inhomogeneous diffusion problems

Abstract

In nature, many complex multi-physics coupling problems exhibit strong diffusivity inhomogeneity. For instance, in the context of radionuclide absorption by porous wasteform materials within a flowing waste stream, the difference of species’ diffusivity in solid and liquid phases spans by 3~8 orders of magnitude. To solve the diffusion equations with strongly inhomogeneous diffusivity, traditional discretization-based methods, such as the Finite Difference Method (FDM), require infinitesimally small time steps (

Published: February 4, 2025

Citation

Mao Z., Y. Li, R.O. Montgomery, A. Grandjean, H. zur Loye, and S. Hu. 2025. A Finite Difference informed Random Walker (FDiRW) solver for strongly inhomogeneous diffusion problems. Computational Materials Science 246, no. _:Art. No. 113474. PNNL-SA-203260. doi:10.1016/j.commatsci.2024.113474