Figure 4

Optimization of gas flow rates. Subdomain \(\Omega _{0}\) in the objective functional \(J_{2}\) for the optimization of \(Q_{i}\), \(i\in \{1,2\}\). It covers the region where the dead zones are more likely to appear, i.e., the lower half of the domain \(z \leq \frac{H}{2}\), excluding the area of the plume cones defined as a box (\(-0.175 \leq x \leq -0.05\) and \(-0.175 \leq y \leq 0.175\)). This choice is suitable to avoid the high vorticity located close to the plume cones