Meshfree multiscale method with partially explicit time discretization

Djulustan Nikiforov

Meshfree multiscale method with partially explicit time discretization

Numerical Analysis 2024-02-06 v1 Numerical Analysis

Authors: Djulustan Nikiforov

Abstract

In this paper, a multiscale approach with partially explicit time discretization is proposed. The idea is to use a partially explicit time scheme, considering a filtration problem in a fractured medium, where the implicit scheme is used for nodes whose subdomains contain fractures, and the explicit scheme is used for all others. In this way, it is possible to use a time step that is independent of the diffusion coefficient for fractures. Numerical results demonstrating high accuracy of calculations are presented.

Keywords

multirate time integration numerical discretization fluid dynamics and porous media

Cite

@article{arxiv.2402.02763,
  title  = {Meshfree multiscale method with partially explicit time discretization},
  author = {Djulustan Nikiforov},
  journal= {arXiv preprint arXiv:2402.02763},
  year   = {2024}
}

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