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Multidimensional Hall magnetohydrodynamics with isotropic or anisotropic thermal pressure: numerical scheme and its validation using solitary waves

Abstract:

We present a numerical solver for plasma dynamics simulations in Hall magnetohydrodynamic (HMHD) approximation in one, two and three dimensions. We consider both isotropic and anisotropic thermal pressure cases, where a general gyrotropic approximation is used. Both explicit energy conservation equation and general polytropic state equations are considered. The numerical scheme incorporates second-order Runge-Kutta advancing in time and Kurganov-Tadmor scheme with van Leer flux limiter for th...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1016/j.jcp.2016.10.058

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Department:
Oxford, MPLS, Physics, Theoretical Physics
Role:
Author
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Grant:
657251 (ASTROMULTISCALE)
Publisher:
Elsevier Publisher's website
Journal:
Journal of Computational Physics Journal website
Volume:
330
Pages:
846-862
Publication date:
2016-10-05
Acceptance date:
2016-10-25
DOI:
Pubs id:
pubs:656020
URN:
uri:82e4b8cf-784d-4fb0-b1bb-86b320a89601
UUID:
uuid:82e4b8cf-784d-4fb0-b1bb-86b320a89601
Local pid:
pubs:656020

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