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