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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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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.