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

Date

2020-02-01

Author

Cibik, Aytekin
EROĞLU, FATMA GÜLER
Kaya Merdan, Songül

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he 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.

Subject Keywords

Theoretical Computer Science, General Engineering, Computational Theory and Mathematics, Software

URI

https://hdl.handle.net/11511/52159

Journal

Journal of Scientific Computing

DOI

https://doi.org/10.1007/s10915-020-01142-y

Collections

Department of Mathematics, Article

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Citation Formats

A. Cibik, F. G. EROĞLU, and S. Kaya Merdan, “Analysis of Second Order Time Filtered Backward Euler Method for MHD Equations,” Journal of Scientific Computing, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52159.