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A Comparison of Boundary Element and Spectral Collocation Approaches to the Thermally Coupled MHD Problem
Date
2021-05-03
Author
Bozkaya, Canan
Türk, Önder
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The thermally coupled full magnetohydrodynamic (MHD) flow is numerically investigated in a square cavity subject to an externally applied uniform magnetic field. The governing equations given in terms of stream function, vorticity, temperature, magnetic stream function, and current density, are discretized spatially using both the dual reciprocity boundary element method (DRBEM) and the Chebyshev spectral collocation method (CSCM) while an unconditionally stable backward difference scheme is employed for the time integration. Apart from the novelty of the methodology that allows the use of two different methods, the work aims to accommodate various characteristics related to the application of approaches differ in nature and origin. The qualitative and quantitative comparison of the methods are conducted in several test cases. The numerical simulations indicate that the effect of the physical controlling parameters of the MHD problem on the flow and heat transfer can be monitored equally well by both proposed schemes.
URI
https://link.springer.com/book/10.1007%2F978-3-030-55874-1
https://hdl.handle.net/11511/93467
DOI
https://doi.org/10.1007/978-3-030-55874-1_17
Conference Name
Numerical Mathematics and Advanced Applications ENUMATH 2019
Collections
Department of Mathematics, Conference / Seminar
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C. Bozkaya and Ö. Türk, “A Comparison of Boundary Element and Spectral Collocation Approaches to the Thermally Coupled MHD Problem,” presented at the Numerical Mathematics and Advanced Applications ENUMATH 2019, Eindhoven, Hollanda, 2021, Accessed: 00, 2021. [Online]. Available: https://link.springer.com/book/10.1007%2F978-3-030-55874-1.