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Table 2 Mesh parameters. The abbreviation “Dof” refers to the number of degrees of freedom

From: Optimal control of buoyancy-driven liquid steel stirring modeled with single-phase Navier–Stokes equations

Mesh refinement level

2

3

4

Number of cells

4608

36,864

294,912

Min/max cell size

0.086/0.149

0.0427/0.076

0.02134/0.0389

Dof u

21,675

160,083

1,229,475

Dof p

1053

7225

53,361

Dof total

22,728

167,308

1,282,836