Adomian Decomposition Based Numerical Scheme for Flow Simulations
Numerical Analysis
2022-04-19 v2 Numerical Analysis
Abstract
This paper proposes a numerical method based on the Adomian decomposition approach for the time discretization, applied to Euler equations. A recursive property is demonstrated that allows to formulate the method in an appropriate and efficient way. To obtain a fully numerical scheme, the space discretization is achieved using the classical DG techniques. The efficiency of the obtained numerical scheme is demonstrated through numerical tests by comparison to exact solution and the popular Runge-Kutta DG method results.
Cite
@article{arxiv.2202.09899,
title = {Adomian Decomposition Based Numerical Scheme for Flow Simulations},
author = {Imanol Garcia-Beristain and Lakhdar Remaki},
journal= {arXiv preprint arXiv:2202.09899},
year = {2022}
}