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Journal of Scientific Computing

Erschienen in:

01.02.2020

Analysis of Second Order Time Filtered Backward Euler Method for MHD Equations

verfasst von: Aytekin Cibik, Fatma G. Eroglu, Songül Kaya

Erschienen in: Journal of Scientific Computing | Ausgabe 2/2020

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Abstract

The present work is devoted to introduce the backward Euler based modular time filter method for MHD flow. The proposed method improves the accuracy of the solution without a significant change in the complexity of the system. Since time filters for fluid variables are added as separate post processing steps, the method can be easily incorporated into an existing backward Euler code. We show that the time filtered backward Euler method delivers better correct energy and cross-helicity balance in comparison with the backward Euler method. Long-time stability, stability and second order convergence of the method are also proven. The influences of introduced time filter method on several numerical experiments are given, which both verify the theoretical findings and illustrate its usefulness on practical problems.

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Titel: Analysis of Second Order Time Filtered Backward Euler Method for MHD Equations
verfasst von: Aytekin Cibik
Fatma G. Eroglu
Songül Kaya
Publikationsdatum: 01.02.2020
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 2/2020
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-020-01142-y

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