SOLUTIONS AND STABILITY ANALYSIS OF BACKWARD-EULER METHOD FOR SIMPLIFIED MAGNETOHYDRODYNAMICS WITH NONLINEAR TIME RELAXATION

Yıl 2021, Cilt: 7 Sayı: 2, 45 - 51, 31.12.2021

Gamze Yüksel , Mustafa Hicret Yaman

https://doi.org/10.22531/muglajsci.932484

Cited By: 1

Öz

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 SMHD Nonlinear Time Relaxation Model (SMHDNTRM) is introduced. The model is discretized by Backward-Euler (BE) method to obtain the finite element solutions. Moreover, the stability of the method is proved. The method is found unconditionally stable. The effectiveness of the method is exemplified by several cases with comparing different methods. FreeFem++ is used for all computations.

Anahtar Kelimeler

: MagnetoHydroDynamics, Backward-Euler Method, Nonlinear Time Relaxation, Finite Element Method

Destekleyen Kurum

Mugla Sitki Kocman University Research Projects Coordination Office.

Proje Numarası

Project Grant Number: 17/225

Kaynakça

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