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An ideal compressible magnetohydrodynamic solver with parallel block-structured adaptive mesh refinement

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
0045-7930
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
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, 293-298. (doi:10.1016/j.compfluid.2018.01.032).

Record type: Article

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.

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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
ORCID for Ralf Deiterding: ORCID iD orcid.org/0000-0003-4776-8183

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Date deposited: 12 Feb 2018 17:30
Last modified: 26 Nov 2021 06:07

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Contributors

Author: Muller Moreira Souza Lopes
Author: Ralf Deiterding ORCID iD
Author: Anna Karina Fontes Gomes
Author: Odim Mendes
Author: Margarete O. Domingues

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