SOLUTIONS AND STABILITY ANALYSIS OF BACKWARD-EULER METHOD FOR SIMPLIFIED MAGNETOHYDRODYNAMICS WITH NONLINEAR TIME RELAXATION
نویسندگان
چکیده
In this study, the solutions of Simplified Magnetohyrodynamics (SMHD) equations by finite element method are examined with nonlinear time relaxation term. The differential filter κ(|u-u ̅ |(u-u )) term is added to SMHD equations. Also Nonlinear Time Relaxation Model (SMHDNTRM) introduced. model discretized Backward-Euler (BE) obtain solutions. Moreover, stability proved. found unconditionally stable. effectiveness exemplified several cases comparing different methods. FreeFem++ used for all computations.
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ژورنال
عنوان ژورنال: Mu?la journal of science and technology
سال: 2021
ISSN: ['2149-3596']
DOI: https://doi.org/10.22531/muglajsci.932484