Artificial compression method for MHD system in Elsässer variables

Date

2023-03-01

Author

Aggul, Mustafa
Eroglu, Fatma Güler
Kaya Merdan, Songül

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We introduce an artificial compression (AC) method for simulations of the MHD system in Elsässer Variables. The proposed method decouples unknowns such as pressure, which acts as a Lagrange multiplier ensuring divergence constraints in each equation, from velocity and magnetic field vectors. By advancing for each unknown explicitly in time, the method approximates flow quantities at a lower cost when compared with its fully-implicit counterparts. We propose backward Euler and BDF2 based AC methods for MHD systems. This report presents stability and accuracy analyses of the proposed methods and numerically verifies the theoretical findings.

Subject Keywords

Artificial compression, BDF2, Decoupling, Elsässer variables, MHD flow, Stability

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85142430338&origin=inward
https://hdl.handle.net/11511/101573

Journal

Applied Numerical Mathematics

DOI

https://doi.org/10.1016/j.apnum.2022.11.009

Collections

Department of Mathematics, Article

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Citation Formats

M. Aggul, F. G. Eroglu, and S. Kaya Merdan, “Artificial compression method for MHD system in Elsässer variables,” Applied Numerical Mathematics, vol. 185, pp. 72–87, 2023, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85142430338&origin=inward.