Name
Abstract | ||
|---|---|---|
The magnetohydrodynamics equations model a wide range of plasma physics appli-cations and are characterized by a nonlinear system of partial differential equations that strongly couples a charged fluid with the evolution of electromagnetic fields. After discretization and lin-earization, the resulting system of equations is generally difficult to solve due to the coupling between variables and the heterogeneous coefficients induced by the linearization process. In this paper, we investigate multigrid preconditioners for this system based on specialized relaxation schemes that properly address the system structure and coupling. Three extensions of Vanka relaxation are pro-posed and applied to problems with up to 170 million degrees of freedom and fluid and magnetic Reynolds numbers up to 400 for stationary problems and up to 20,000 for time-dependent problems. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1137/20M1348364 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Keywords | DocType | Volume |
magnetohydrodynamics, monolithic multigrid, Vanka relaxation | Journal | 43 |
Issue | ISSN | Citations |
5 | 1064-8275 | 0 |
PageRank | References | Authors |
0.34 | 0 | 6 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| James H. Adler | 1 | 0 | 0.68 |
| Thomas R. Benson | 2 | 0 | 0.34 |
| Eric C. Cyr | 3 | 51 | 8.66 |
| Patrick E. Farrell | 4 | 0 | 0.34 |
| Scott P. MacLachlan | 5 | 0 | 0.68 |
| Ray S. Tuminaro | 6 | 0 | 0.34 |