Research Communication | Open Access
Volume 2021 | Communication ID 275
Volume 2021 | Communication ID 275
| Enriched semi-Lagrangian finite element methods for incompressible flows |
Abdelouahed Ouardghi, Mofdi El Amrani, Mohammed Seaid
Received |
Accepted |
Published |
February 01, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: We propose a class of adaptive enriched semi-Lagrangian finite element methods for accurate and efficient numerical solution of incompressible flow problems. The proposed approach uses a stable semi-Lagrangian method to handle the computational difficulties as well as nonphysical oscillations caused by the convection terms, the finite element discretization to manage irregular geometries, and an L²-projection procedure using quadrature rules. To improve the efficiency and accuracy of the proposed method a multilevel adaptive procedure is implemented. In the present work, we use a ...