Abstract
This article presents a hybridization of a local discontinu- ous Galerkin method (LDG) with the Ø method to capture nonlinear behavior of the advection-diffusion processes. The predetermined fixed ux selection is extended to the generalized problem-dependent ux se- lection in the LDG algorithm. The derived technique has been shown to be unconditionally stable through the L2 stability analysis. Two il- lustrative test problems are considered to demonstrate the effciency of the currently produced technique for both advection and diffiusion dom- inated processes.
| Original language | English |
|---|---|
| Pages (from-to) | 24-45 |
| Number of pages | 22 |
| Journal | Proceedings of the Institute of Mathematics and Mechanics |
| Volume | 47 |
| Issue number | 1 |
| Publication status | Published - 2021 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2021, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
Keywords
- Advection-diffusion processes
- Burgers equation
- Hopf-cole transformation
- Local discontinuous galerkin method
- Ø-method