An ideal compressible magnetohydrodynamic solver with parallel block-structured adaptive mesh refinement
An ideal compressible magnetohydrodynamic solver with parallel block-structured adaptive mesh refinement
We present an adaptive parallel solver for the numerical simulation of ideal magnetohydrodynamics in two and three space dimensions. The discretisation uses a finite volume scheme based on a Cartesian mesh and an explicit compact Runge--Kutta scheme for time integration. Numerically, a generalized Lagrangian multiplier approach with a mixed hyperbolic-parabolic correction is used to guarantee a control on the incompressibility of the magnetic field. We implement the solver in the AMROC (Adaptive Mesh Refinement in Object-oriented C++) framework that uses a structured adaptive mesh refinement (SAMR) method discretisation-independent and is fully parallelised for distributed memory systems. Moreover, AMROC is a modular framework providing manageability, extensibility and efficiency. In this paper, we give an overview of the ideal magnetohydrodynamics solver developed in this framework and its capabilities. We also include an example of this solver's verification with other codes and its numerical and computational performance.
AMROC, magnetohydrodynamics, finite-volume, mesh refinement
293-298
Moreira Souza Lopes, Muller
ac3efdac-469b-4129-a236-6693ce7ee5ee
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Gomes, Anna Karina Fontes
48e2cd50-c6fd-4799-9800-73133ecee5a7
Mendes, Odim
1a4cca69-9c5b-4b00-ab25-e85450116b7b
Domingues, Margarete O.
393cd03f-2ee9-482c-9c72-1988aef9b05f
15 September 2018
Moreira Souza Lopes, Muller
ac3efdac-469b-4129-a236-6693ce7ee5ee
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Gomes, Anna Karina Fontes
48e2cd50-c6fd-4799-9800-73133ecee5a7
Mendes, Odim
1a4cca69-9c5b-4b00-ab25-e85450116b7b
Domingues, Margarete O.
393cd03f-2ee9-482c-9c72-1988aef9b05f
Moreira Souza Lopes, Muller, Deiterding, Ralf, Gomes, Anna Karina Fontes, Mendes, Odim and Domingues, Margarete O.
(2018)
An ideal compressible magnetohydrodynamic solver with parallel block-structured adaptive mesh refinement.
Computers & Fluids, 173, .
(doi:10.1016/j.compfluid.2018.01.032).
Abstract
We present an adaptive parallel solver for the numerical simulation of ideal magnetohydrodynamics in two and three space dimensions. The discretisation uses a finite volume scheme based on a Cartesian mesh and an explicit compact Runge--Kutta scheme for time integration. Numerically, a generalized Lagrangian multiplier approach with a mixed hyperbolic-parabolic correction is used to guarantee a control on the incompressibility of the magnetic field. We implement the solver in the AMROC (Adaptive Mesh Refinement in Object-oriented C++) framework that uses a structured adaptive mesh refinement (SAMR) method discretisation-independent and is fully parallelised for distributed memory systems. Moreover, AMROC is a modular framework providing manageability, extensibility and efficiency. In this paper, we give an overview of the ideal magnetohydrodynamics solver developed in this framework and its capabilities. We also include an example of this solver's verification with other codes and its numerical and computational performance.
Text
main
- Accepted Manuscript
More information
Accepted/In Press date: 23 January 2018
e-pub ahead of print date: 1 February 2018
Published date: 15 September 2018
Keywords:
AMROC, magnetohydrodynamics, finite-volume, mesh refinement
Identifiers
Local EPrints ID: 417729
URI: http://eprints.soton.ac.uk/id/eprint/417729
ISSN: 0045-7930
PURE UUID: 9036819d-f95e-415f-a09b-b461772dc419
Catalogue record
Date deposited: 12 Feb 2018 17:30
Last modified: 16 Mar 2024 06:10
Export record
Altmetrics
Contributors
Author:
Muller Moreira Souza Lopes
Author:
Anna Karina Fontes Gomes
Author:
Odim Mendes
Author:
Margarete O. Domingues
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
