B. Pekmen1,2, M. Tezer-Sezgin2,3
CMES-Computer Modeling in Engineering & Sciences, Vol.105, No.3, pp. 183-207, 2015, DOI:10.3970/cmes.2015.105.183
Abstract This study proposes the dual reciprocity boundary element (DRBEM) solution for full magnetohydrodynamics (MHD) equations in a lid-driven square cavity. MHD equations are coupled with the heat transfer equation by means of the Boussinesq approximation. Induced magnetic field is also taken into consideration. The governing equations in terms of stream function, temperature, induced magnetic field components, and vorticity are solved employing DRBEM in space together with the implicit backward Euler formula for the time derivatives. The use of DRBEM with linear boundary elements which is a boundary discretization method enables one to obtain small sized linear systems. This makes the… More >
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