NUMERICAL ANALYSIS AND TESTING OF A FULLY DISCRETE, DECOUPLED PENALTY-PROJECTION ALGORITHM FOR MHD IN ELSASSER VARIABLE

Date

2016-01-01

Author

AKBAŞ, MİNE
Kaya Merdan, Songül
MOHEBUJJAMAN, Muhammed
rebholz, leo

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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We consider a fully discrete, efficient algorithm for magnetohydrodynamic (MHD) flow that is based on the Elsasser variable formulation and a timestepping scheme that decouples the MHD system but still provides unconditional stability with respect to the timestep. We prove stability and optimal convergence of the scheme, and also connect the scheme to one based on handling each decoupled system with a penalty-projection method. Numerical experiments are given which verify all predicted convergence rates of our analysis on some analytical test problems, show the results of the scheme on a set of channel flow problems match well the results found when the computation is done with MHD in primitive variable, and finally show the scheme performs well on a channel flow over a step.

Subject Keywords

Magnetohydrodynamics, Elsasser variables, Penalty-projection method, Finite element method

URI

https://hdl.handle.net/11511/54622

Journal

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING

Collections

Department of Mathematics, Article

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Citation Formats

M. AKBAŞ, S. Kaya Merdan, M. MOHEBUJJAMAN, and l. rebholz, “NUMERICAL ANALYSIS AND TESTING OF A FULLY DISCRETE, DECOUPLED PENALTY-PROJECTION ALGORITHM FOR MHD IN ELSASSER VARIABLE,” INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, pp. 90–113, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54622.