Research Article

Stabilized FEM solution of MHD flow over array of cubic domains

Volume: 72 Number: 3 September 30, 2023
EN

Stabilized FEM solution of MHD flow over array of cubic domains

Abstract

In this study, 3D magnetohydrodynamic (MHD) equations are considered in array of cubic domains having insulated external boundaries separated by conducting thin walls. In order to obtain stable solutions, stabilized version of the Galerkin finite element method is used as a numerical scheme. Different problem parameters and configurations are tested in order to visualize the accuracy and efficiency of the proposed algorithm. Obtained solutions are visualized as contour lines of 2D slices taken from the obtained 3D domain solutions.

Keywords

References

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Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Publication Date

September 30, 2023

Submission Date

November 10, 2022

Acceptance Date

March 6, 2023

Published in Issue

Year 2023 Volume: 72 Number: 3

APA
Aydın, S. H. (2023). Stabilized FEM solution of MHD flow over array of cubic domains. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 72(3), 839-856. https://doi.org/10.31801/cfsuasmas.1202192
AMA
1.Aydın SH. Stabilized FEM solution of MHD flow over array of cubic domains. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023;72(3):839-856. doi:10.31801/cfsuasmas.1202192
Chicago
Aydın, Selçuk Han. 2023. “Stabilized FEM Solution of MHD Flow over Array of Cubic Domains”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72 (3): 839-56. https://doi.org/10.31801/cfsuasmas.1202192.
EndNote
Aydın SH (September 1, 2023) Stabilized FEM solution of MHD flow over array of cubic domains. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72 3 839–856.
IEEE
[1]S. H. Aydın, “Stabilized FEM solution of MHD flow over array of cubic domains”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 72, no. 3, pp. 839–856, Sept. 2023, doi: 10.31801/cfsuasmas.1202192.
ISNAD
Aydın, Selçuk Han. “Stabilized FEM Solution of MHD Flow over Array of Cubic Domains”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72/3 (September 1, 2023): 839-856. https://doi.org/10.31801/cfsuasmas.1202192.
JAMA
1.Aydın SH. Stabilized FEM solution of MHD flow over array of cubic domains. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023;72:839–856.
MLA
Aydın, Selçuk Han. “Stabilized FEM Solution of MHD Flow over Array of Cubic Domains”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 72, no. 3, Sept. 2023, pp. 839-56, doi:10.31801/cfsuasmas.1202192.
Vancouver
1.Selçuk Han Aydın. Stabilized FEM solution of MHD flow over array of cubic domains. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023 Sep. 1;72(3):839-56. doi:10.31801/cfsuasmas.1202192

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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