2007Unpublished venueRequires access

Validity of Low Magnetic Reynolds Number Formulation of Magnetofluiddynamics

Ovais U. Khan, Klaus Hoffmann, Jean-François Dietiker

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Abstract

*† ‡ Validity of low magnetic Reynolds number approximation has been evaluated by conducting numerical experimentation with both the full magnetofluiddynamic (MFD) formulation and the low magnetic Reynolds number formulation. MFD equations in their classical form and under low magnetic Reynolds number approximation are presented and numerically solved using four-stage modified Runge-Kutta scheme augmented with the Total Variation Diminishing model in post-processing stage. An attempt has been made to compare the results obtained by the two available approaches. The results obtained from low magnetic number approximation compare well with the results obtained by solving the full MFD equations for low ranges of magnetic Reynolds number.

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What this paper is about

*† ‡ Validity of low magnetic Reynolds number approximation has been evaluated by conducting numerical experimentation with both the full magnetofluiddynamic (MFD) formulation and the low magnetic Reynolds number formulation. MFD equations in their classical form and under low magnetic Reynolds number approximation are presented and numerically solved using four-stage modified Runge-Kutta scheme augmented with the Total Variation Diminishing model in post-processing stage. An attempt has been made to compare the results obtained by the two available approaches. The results obtained from low magnetic number approximation compare well with the results obtained by solving the full MFD equations for low ranges of magnetic Reynolds number.

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Available abstract

*† ‡ Validity of low magnetic Reynolds number approximation has been evaluated by conducting numerical experimentation with both the full magnetofluiddynamic (MFD) formulation and the low magnetic Reynolds number formulation. MFD equations in their classical form and under low magnetic Reynolds number approximation are presented and numerically solved using four-stage modified Runge-Kutta scheme augmented with the Total Variation Diminishing model in post-processing stage. An attempt has been made to compare the results obtained by the two available approaches. The results obtained from low magnetic number approximation compare well with the results obtained by solving the full MFD equations for low ranges of magnetic Reynolds number.

Key concepts: Reynolds number, Magnetic Reynolds number, Reynolds equation, Mathematics, Magnetic field, Mechanics, Applied mathematics, Mathematical analysis

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