Artículo
Characteristic boundary conditions for magnetohydrodynamics: The Brio-Wu shock tube
Fecha de publicación:
01/2016
Editorial:
Pergamon-Elsevier Science Ltd
Revista:
Computers & Fluids
ISSN:
0045-7930
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In the present paper we develop and test a characteristic-based boundary condition (BC) scheme for the compressible magnetohydrodynamic equations, as the extension of a characteristic gasdynamics BC model. We use a Harten-Yee finite volume scheme for the spatial discretization of the domain, and a TVD Backward Euler time integrator for the sake of robustness. First we verify that the scheme works correctly for gasdynamic initial conditions (i.e., when B= 0), comparing with both analytical and experimental data. We then test the BC scheme with the Brio and Wu shock tube for two different types of boundaries: an open end and solid walls. We present a comparison between results obtained with the zeroth-order extrapolated BC scheme and the characteristic scheme developed. For a solid wall condition, we found discrepancies between both schemes when perturbations in the transverse magnetic field component (By) reach the boundaries. Also for the open end condition some discrepancies appear between the characteristic and extrapolated schemes, presenting the latter some instabilities. The results obtained with the characteristic scheme are smoother but presented a different wave pattern, which we believe is physical.
Palabras clave:
BOUNDARY CONDITIONS
,
FINITE VOLUME
,
HARTEN-YEE
,
MHD
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Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos(IATE)
Articulos de INST.DE ASTRONOMIA TEORICA Y EXPERIMENTAL
Articulos de INST.DE ASTRONOMIA TEORICA Y EXPERIMENTAL
Articulos(IDIT)
Articulos de INSTITUTO DE ESTUDIOS AVANZADOS EN INGENIERIA Y TECNOLOGIA
Articulos de INSTITUTO DE ESTUDIOS AVANZADOS EN INGENIERIA Y TECNOLOGIA
Citación
Cimino, Andrés Martín; Krause, Gustavo Javier; Elaskar, Sergio Amado; Costa, Andrea; Characteristic boundary conditions for magnetohydrodynamics: The Brio-Wu shock tube; Pergamon-Elsevier Science Ltd; Computers & Fluids; 127; 1-2016; 194-210
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