Gupta, A and Jog, CS (2022) A Monolithic Finite Element Formulation for Magnetohydrodynamics Involving a Compressible Fluid. In: Fluids, 7 (1).
|
PDF
flu_2022.pdf - Published Version Download (3MB) | Preview |
Abstract
This work develops a new monolithic finite-element-based strategy for magnetohydrody-namics (MHD) involving a compressible fluid based on a continuous velocity�pressure formulation. The entire formulation is within a nodal finite element framework, and is directly in terms of physical variables. The exact linearization of the variational formulation ensures a quadratic rate of convergence in the vicinity of the solution. Both steady-state and transient formulations are presented for two-and three-dimensional flows. Several benchmark problems are presented, and comparisons are carried out against analytical solutions, experimental data, or against other numerical schemes for MHD. We show a good coarse-mesh accuracy and robustness of the proposed strategy, even at high Hartmann numbers. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
| Item Type: | Journal Article |
|---|---|
| Publication: | Fluids |
| Publisher: | MDPI |
| Additional Information: | The copyright for this article belongs to Authors |
| Department/Centre: | Division of Mechanical Sciences > Mechanical Engineering |
| Date Deposited: | 14 Feb 2022 15:39 |
| Last Modified: | 14 Feb 2022 15:39 |
| URI: | http://eprints.iisc.ac.in/id/eprint/71348 |
Actions (login required)
 |
View Item |
