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

The research article “A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable”, co-authored by METU member Prof. Songül Kaya Merdan, has been published in Journal of Computational and Applied Mathematics.

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.

Erkmen, D., Kaya, S., & Çıbık, A. (2020). A second order decoupled penalty projection method based on deferred correction for MHD in elsässer variable. Journal of Computational and Applied Mathematics, 371 doi:10.1016/j.cam.2019.112694

Article access: https://www.sciencedirect.com/science/article/pii/S0377042719306995

Tags/Keywords:

Elsässer variables, Magnetohydrodynamics, Penalty-projection

Other authors:
Erkmen, D., Çıbık, A.