# Monotone scheme and boundary conditions for finite volume simulation of magnetohydrodynamic internal flows at high Hartmann number

Leboucher, L.
(1999)
*Monotone scheme and boundary conditions for finite volume simulation of magnetohydrodynamic internal flows at high Hartmann number.*
Journal of Computational Physics, 150 (1).
pp. 181-198.
ISSN 0021-9991
(doi:10.1006/jcph.1998.6170)

## Abstract

A monotone scheme for finite volume simulation of magnetohydrodynamic internal flows at high Hartmann number is presented. The numerical stability is analysed with respect to the electromagnetic force. Standard central finite differences applied to finite volumes can only be numerically stable if the vector products involved in this force are computed with a scheme using a fully staggered grid. The electromagnetic quantities (electric currents and electric potential) must be shifted by half the grid size from the mechanical ones (velocity and pressure). An integral treatment of the boundary layers is used in conjunction with boundary conditions for electrically conducting walls. The simulations are performed with inhomogeneous electrical conductivities of the walls and reach high Hartmann numbers in three-dimensional simulations, even though a non-adaptive grid is used.

Item Type: | Article |
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Uncontrolled Keywords: | monotone scheme, finite volume simulation, magnetohydrodynamic internal flows, high Hartmann number |

Subjects: | Q Science > QA Mathematics |

Pre-2014 Departments: | School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis |

Related URLs: | |

Last Modified: | 14 Oct 2016 08:59 |

URI: | http://gala.gre.ac.uk/id/eprint/141 |

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