3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid

Selçuk Han Aydın; Mahir Ceylan Erdoğan

doi:10.17776/csj.1293551

EN

3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid

Abstract

In this study, we consider 3-D MagnetoHydroDynamic (MHD) flow problems with different configurations which are mathematically expressed by system of coupled partial differential equation with coupled boundary conditions. These equations are solved numerically using one of the most popular schemes named as the finite element method (FEM) with SUPG type stabilized version in order to obtain accurate and stable solutions especially for the high values of the problem parameters. Obtained numerical solutions are visualized in terms of figures by taking the 2-D slices of the 3-D data in order to emphasize the accuracy of the proposed formulation.

Keywords

3D-FEM, Stabilization, MHD flow, Exterior medium, Conducting solid

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Selçuk Han Aydın ^*
0000-0002-1419-9458
Türkiye

Mahir Ceylan Erdoğan This is me
0000-0001-9775-5271
Türkiye

Publication Date

September 29, 2023

Submission Date

May 6, 2023

Acceptance Date

August 30, 2023

Published in Issue

Year 2023 Volume: 44 Number: 3

DOI

https://doi.org/10.17776/csj.1293551

IZ

https://izlik.org/JA76TU62XT

APA

Aydın, S. H., & Erdoğan, M. C. (2023). 3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid. Cumhuriyet Science Journal, 44(3), 547-560. https://doi.org/10.17776/csj.1293551

AMA

1.Aydın SH, Erdoğan MC. 3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid. CSJ. 2023;44(3):547-560. doi:10.17776/csj.1293551

Chicago

Aydın, Selçuk Han, and Mahir Ceylan Erdoğan. 2023. “3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid”. Cumhuriyet Science Journal 44 (3): 547-60. https://doi.org/10.17776/csj.1293551.

EndNote

Aydın SH, Erdoğan MC (September 1, 2023) 3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid. Cumhuriyet Science Journal 44 3 547–560.

IEEE

[1]S. H. Aydın and M. C. Erdoğan, “3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid”, CSJ, vol. 44, no. 3, pp. 547–560, Sept. 2023, doi: 10.17776/csj.1293551.

ISNAD

Aydın, Selçuk Han - Erdoğan, Mahir Ceylan. “3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid”. Cumhuriyet Science Journal 44/3 (September 1, 2023): 547-560. https://doi.org/10.17776/csj.1293551.

JAMA

1.Aydın SH, Erdoğan MC. 3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid. CSJ. 2023;44:547–560.

MLA

Aydın, Selçuk Han, and Mahir Ceylan Erdoğan. “3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid”. Cumhuriyet Science Journal, vol. 44, no. 3, Sept. 2023, pp. 547-60, doi:10.17776/csj.1293551.

Vancouver

1.Selçuk Han Aydın, Mahir Ceylan Erdoğan. 3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid. CSJ. 2023 Sep. 1;44(3):547-60. doi:10.17776/csj.1293551

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December

Abstract

3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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