A scalable, fully implicit algorithm for the reduced two-field low-β extended MHD model
Here, we demonstrate a scalable fully implicit algorithm for the two-field low-β extended MHD model. This reduced model describes plasma behavior in the presence of strong guide fields, and is of significant practical impact both in nature and in laboratory plasmas. The model displays strong hyperbolic behavior, as manifested by the presence of fast dispersive waves, which make a fully implicit treatment very challenging. In this study, we employ a Jacobian-free Newton–Krylov nonlinear solver, for which we propose a physics-based preconditioner that renders the linearized set of equations suitable for inversion with multigrid methods. As a result, the algorithm is shown to scale both algorithmically (i.e., the iteration count is insensitive to grid refinement and timestep size) and in parallel in a weak-scaling sense, with the wall-clock time scaling weakly with the number of cores for up to 4096 cores. For a 4096 × 4096 mesh, we demonstrate a wall-clock-time speedup of ~6700 with respect to explicit algorithms. The model is validated linearly (against linear theory predictions) and nonlinearly (against fully kinetic simulations), demonstrating excellent agreement.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC). Advanced Scientific Computing Research (ASCR) (SC-21); USDOE
- Grant/Contract Number:
- AC52-06NA25396
- OSTI ID:
- 1331283
- Alternate ID(s):
- OSTI ID: 1359312
- Report Number(s):
- LA-UR-16-23169
- Journal Information:
- Journal of Computational Physics, Vol. 326, Issue C; ISSN 0021-9991
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Wavelet methods for studying the onset of strong plasma turbulence
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journal | December 2018 |
| Wavelet Methods for Studying the Onset of Strong Plasma Turbulence | text | January 2018 |
| Isogeometric analysis for 2D and 3D curl-div problems: Spectral symbols and fast iterative solvers | text | January 2018 |
| An a posteriori error analysis for the equations of stationary incompressible magnetohydrodynamics | preprint | January 2020 |
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