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A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable
Date
2020-06-01
Author
Erkmen, Dilek
Kaya Merdan, Songül
Cibik, Aytekin
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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© 2019 Elsevier B.V.We study the deferred correction method for the magnetohydrodynamics (MHD) system written in Elsässer variables. The proposed algorithm is based on the penalty projection with grad-div stabilized Taylor Hood solutions of the Elsässer formulation. In this way, second order accuracy of the method in time is obtained through the deferred correction method with excellent mass conservation properties. For the proposed method, stability is rigorously proven and numerical experiments are presented to verify the proposed scheme and theory.
Subject Keywords
Applied Mathematics
,
Computational Mathematics
URI
https://hdl.handle.net/11511/57263
Journal
Journal of Computational and Applied Mathematics
DOI
https://doi.org/10.1016/j.cam.2019.112694
Collections
Department of Mathematics, Article
Citation Formats
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MLA
BibTeX
D. Erkmen, S. Kaya Merdan, and A. Cibik, “A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable,”
Journal of Computational and Applied Mathematics
, vol. 371, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57263.