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

Erkmen D., Kaya S., Cibik A. B.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol.371, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 371
  • Publication Date: 2020
  • Doi Number: 10.1016/j.cam.2019.112694
  • Journal Name: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Keywords: Magnetohydrodynamics, Elsasser variables, Penalty-projection, NUMERICAL-ANALYSIS, STABILIZATION, ALGORITHM, ELEMENTS
  • Gazi University Affiliated: Yes

Abstract

We study the deferred correction method for the magnetohydrodynamics (MHD) system written in Elsasser variables. The proposed algorithm is based on the penalty projection with grad-div stabilized Taylor Hood solutions of the Elsasser 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. (C) 2019 Elsevier B.V. All rights reserved.