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arXiv · 2411.11041

Directional diffusion splitting method for advection-diffusion-reaction model

R. Drebotiy·H. Shynkarenko
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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.

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R. Drebotiy, H. Shynkarenko. 2024-11-17. Directional diffusion splitting method for advection-diffusion-reaction model. https://arxiv.org/abs/2411.11041

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