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Time-domain BEM solution of convection-diffusion-type MHD equations
Date
2008-04-20
Author
Bozkaya, N.
Tezer, Münevver
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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The two-dimensional convection-diffusion-type equations are solved by using the boundary element method (BEM) based on the time-dependent fundamental solution. The emphasis is given on the solution of magnetohydrodynamic (MHD) duct flow problems with arbitrary wall conductivity. The boundary and time integrals in the BEM formulation are computed numerically assuming constant variations of the unknowns on both the boundary elements and the time intervals. Then, the solution is advanced to the steady-state iteratively. Thus, it is possible to use quite large time increments and stability problems are not encountered. The time-domain BEM solution procedure is tested on some convection-diffusion problems and the MHD duct flow problem with insulated walls to establish the validity of the approach. The numerical results for these sample problems compare very well to analytical results. Then, the BEM formulation of the MHD duct flow problem with arbitrary wall conductivity is obtained for the first time in such a way that the equations are solved together with the coupled boundary conditions. The use of time-dependent fundamental solution enables us to obtain numerical solutions for this problem for the Hartmann number values up to 300 and for several values of conductivity parameter. Copyright (C) 2007 John Wiley & Sons, Ltd.
Subject Keywords
Mechanical Engineering
,
Mechanics of Materials
,
Applied Mathematics
,
Computational Mechanics
,
Computer Science Applications
URI
https://hdl.handle.net/11511/38025
Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
DOI
https://doi.org/10.1002/fld.1570
Collections
Department of Mathematics, Article
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N. Bozkaya and M. Tezer, “Time-domain BEM solution of convection-diffusion-type MHD equations,”
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
, pp. 1969–1991, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38025.