Validity of Low Magnetic Reynolds Number Formulation of Magnetofluiddynamics
Ovais U. Khan, Klaus Hoffmann, Jean-François Dietiker
Abstract
Ovais U. Khan, Klaus Hoffmann, Jean-François Dietiker
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.
OpenAlex reports 22 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
*† ‡ 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