Characteristic boundary conditions for magnetohydrodynamics: The Brio-Wu shock tube

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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 T...

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Autores principales: Cimino, A., Krause, G., Elaskar, S., Costa, A.
Formato: JOUR
Materias:
Boundary conditions
Finite volume
Harten-Yee
MHD
Extrapolation
Finite volume method
Gas dynamics
Magnetohydrodynamics
Shock tubes
Characteristic boundary conditions
Compressible magnetohydrodynamic equations
Finite volume schemes
Initial conditions
Spatial discretizations
Time integrators
Transverse magnetic field
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00457930_v127_n_p194_Cimino
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_00457930_v127_n_p194_Cimino2023-10-03T14:52:04Z Characteristic boundary conditions for magnetohydrodynamics: The Brio-Wu shock tube Cimino, A. Krause, G. Elaskar, S. Costa, A. Boundary conditions Finite volume Harten-Yee MHD Extrapolation Finite volume method Gas dynamics Magnetohydrodynamics Shock tubes Characteristic boundary conditions Compressible magnetohydrodynamic equations Finite volume schemes Harten-Yee Initial conditions Spatial discretizations Time integrators Transverse magnetic field Boundary conditions 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. © 2016 Elsevier Ltd. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00457930_v127_n_p194_Cimino
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Boundary conditions
Finite volume
Harten-Yee
MHD
Extrapolation
Finite volume method
Gas dynamics
Magnetohydrodynamics
Shock tubes
Characteristic boundary conditions
Compressible magnetohydrodynamic equations
Finite volume schemes
Harten-Yee
Initial conditions
Spatial discretizations
Time integrators
Transverse magnetic field
Boundary conditions
spellingShingle Boundary conditions
Finite volume
Harten-Yee
MHD
Extrapolation
Finite volume method
Gas dynamics
Magnetohydrodynamics
Shock tubes
Characteristic boundary conditions
Compressible magnetohydrodynamic equations
Finite volume schemes
Harten-Yee
Initial conditions
Spatial discretizations
Time integrators
Transverse magnetic field
Boundary conditions
Cimino, A.
Krause, G.
Elaskar, S.
Costa, A.
Characteristic boundary conditions for magnetohydrodynamics: The Brio-Wu shock tube
topic_facet Boundary conditions
Finite volume
Harten-Yee
MHD
Extrapolation
Finite volume method
Gas dynamics
Magnetohydrodynamics
Shock tubes
Characteristic boundary conditions
Compressible magnetohydrodynamic equations
Finite volume schemes
Harten-Yee
Initial conditions
Spatial discretizations
Time integrators
Transverse magnetic field
Boundary conditions
description 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. © 2016 Elsevier Ltd.
format JOUR
author Cimino, A.
Krause, G.
Elaskar, S.
Costa, A.
author_facet Cimino, A.
Krause, G.
Elaskar, S.
Costa, A.
author_sort Cimino, A.
title Characteristic boundary conditions for magnetohydrodynamics: The Brio-Wu shock tube
title_short Characteristic boundary conditions for magnetohydrodynamics: The Brio-Wu shock tube
title_full Characteristic boundary conditions for magnetohydrodynamics: The Brio-Wu shock tube
title_fullStr Characteristic boundary conditions for magnetohydrodynamics: The Brio-Wu shock tube
title_full_unstemmed Characteristic boundary conditions for magnetohydrodynamics: The Brio-Wu shock tube
title_sort characteristic boundary conditions for magnetohydrodynamics: the brio-wu shock tube
url http://hdl.handle.net/20.500.12110/paper_00457930_v127_n_p194_Cimino
work_keys_str_mv AT ciminoa characteristicboundaryconditionsformagnetohydrodynamicsthebriowushocktube
AT krauseg characteristicboundaryconditionsformagnetohydrodynamicsthebriowushocktube
AT elaskars characteristicboundaryconditionsformagnetohydrodynamicsthebriowushocktube
AT costaa characteristicboundaryconditionsformagnetohydrodynamicsthebriowushocktube
_version_ 1807324057028263936

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