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A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable

2020-06-01
Erkmen, Dilek
Kaya Merdan, Songül
Cibik, Aytekin
© 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.