Table 1: Effect of the corrections of the induced magnetic field on the satisfaction of the divergence free condition for the b-formulation for Gr=0, 105 and Re=1000, κ=0.2.
Hartmann number | | ∇ → ⋅ B → ¯ | using the corrections δ B → i | | ∇ → ⋅ B → ¯ | without correction |
Ha=100 | 5.24x10-10 | 6.88x10-7 |
Ha=500 | 4.98x10-11 | 5.73x10-8 |
Ha=1000 | 2.29x10-11 | 3.63x10-8 |
Ha=2000 | 1.88x10-11 | 2.56x10-8 |