An ideal compressible magnetohydrodynamic solver with parallel block-structured adaptive mesh refinement. (15th September 2018)

• Record Type: Journal Article
• Authors: Lopes, Muller Moreira; Deiterding, Ralf; Gomes, Anna Karina Fontes; Mendes, Odim; Domingues, Margarete O.
• Is Part Of: Computers & fluids. Volume 173(2018)
• Page Start: 293
• Page End: 298
• Publication Date: 2018-09-15
• Subjects: AMROC -- Magnetohydrodynamics -- Finite-volume -- Mesh refinement; Fluid dynamics -- Data processing -- Periodicals; 532.050285
• DOI: 10.1016/j.compfluid.2018.01.032
• Languages: English
• ISSNs: 0045-7930

Abstract

Highlights: A parallel dynamically adaptive magnetohydrodynamic solver is developed. Structured mesh adaptation is provided by the AMROC framework. Several verification tests in 2D and 3D are used to demonstrate correctness. Good parallel scalability is obtained with and without dynamic refinement. 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.