Numerical simulation of thermal convection under the influence of a magnetic field by using solenoidal bases

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2011
Yarımpabuç, Durmuş
The effect of an imposed magnetic field on the thermal convection between rigid plates heated from below under the influence of gravity is numerically simulated in a computational domain with periodic horizontal extent. The numerical technique is based on solenoidal basis functions satisfying the boundary conditions for both velocity and induced magnetic field. The expansion bases for the thermal field are also constructed to satisfy the boundary conditions. The governing partial differential equations are reduced to a system of ordinary differential equations governing the time evolution of the expansion coefficients under Galerkin projection onto the subspace spanned by the dual bases. In the process, the pressure term in the momentum equation is eliminated. The system validated in the linear regime is then used for some numerical experiments in the nonlinear regime.
Citation Formats
D. Yarımpabuç, “Numerical simulation of thermal convection under the influence of a magnetic field by using solenoidal bases,” Ph.D. - Doctoral Program, Middle East Technical University, 2011.