Numerical Approximation of MHD Equations for Real Gases

Susana Serna; Antonio Marquina

Numerical Approximation of MHD Equations for Real Gases

Susana Serna, Antonio Marquina

Departament de Matemàtiques

Universitat de València (UV)

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Resum

We consider the MHD equations for real gases described by a Van der Waals equation of state. We present an explicit calculation of the spectral decomposition of the Jacobian of the fluxes and we propose a characteristic-based upwind numerical scheme to approximate the solution of the system of equations in the one dimensional case. We show a numerical example where we observe wave dynamics significantly stronger than the one obtained for the ideal MHD case.

Idioma original	Anglès
Títol de la publicació	5th Annual International Conference on Numerical Modeling of Space Plasma Flows (ASTRONUM 2010)
Estat de la publicació	Publicada - 2011

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title = "Numerical Approximation of MHD Equations for Real Gases",

abstract = "We consider the MHD equations for real gases described by a Van der Waals equation of state. We present an explicit calculation of the spectral decomposition of the Jacobian of the fluxes and we propose a characteristic-based upwind numerical scheme to approximate the solution of the system of equations in the one dimensional case. We show a numerical example where we observe wave dynamics significantly stronger than the one obtained for the ideal MHD case.",

author = "Susana Serna and Antonio Marquina",

year = "2011",

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booktitle = "5th Annual International Conference on Numerical Modeling of Space Plasma Flows (ASTRONUM 2010)",

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T1 - Numerical Approximation of MHD Equations for Real Gases

AU - Serna, Susana

AU - Marquina, Antonio

PY - 2011

Y1 - 2011

N2 - We consider the MHD equations for real gases described by a Van der Waals equation of state. We present an explicit calculation of the spectral decomposition of the Jacobian of the fluxes and we propose a characteristic-based upwind numerical scheme to approximate the solution of the system of equations in the one dimensional case. We show a numerical example where we observe wave dynamics significantly stronger than the one obtained for the ideal MHD case.

AB - We consider the MHD equations for real gases described by a Van der Waals equation of state. We present an explicit calculation of the spectral decomposition of the Jacobian of the fluxes and we propose a characteristic-based upwind numerical scheme to approximate the solution of the system of equations in the one dimensional case. We show a numerical example where we observe wave dynamics significantly stronger than the one obtained for the ideal MHD case.

M3 - Chapter

SN - 978-1-58381-768-1

BT - 5th Annual International Conference on Numerical Modeling of Space Plasma Flows (ASTRONUM 2010)

ER -

Numerical Approximation of MHD Equations for Real Gases

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