Directional diffusion splitting method for advection-diffusion-reaction model
Numerical Analysis
2024-11-19 v1 Numerical Analysis
Abstract
We propose certain approach of solving two-dimensional non-stationary and stationary advection-diffusion-reaction boundary value problems through their reduction to the set of corresponding one-dimensional problems. This method leverages special splitting and interpolation schemes, providing iterative algorithm with a large degree of parallelization possibilities. We combine that algorithm with the finite element method to solve obtained one-dimensional problems, but in fact, it can be combined also with other discretization methods, like finite volume or finite difference methods.
Cite
@article{arxiv.2411.11041,
title = {Directional diffusion splitting method for advection-diffusion-reaction model},
author = {R. Drebotiy and H. Shynkarenko},
journal= {arXiv preprint arXiv:2411.11041},
year = {2024}
}