Optimization and Computational Fluid Dynamics - Department of ...

44 Gábor Janiga
Air mass flow-rate in primary inlet [g/s]
1.5
1
0.5
0
0.04 0.06 0.08
Methane mass flow-rate in primary inlet [g/s]
1.5 × 10 −2
1.4 × 10 −2
1.3 × 10 −2
1.2 × 10 −2
1.1 × 10 −2
1.0 × 10 −2
9.0 × 10 −3
8.0 × 10 −3
7.0 × 10 −3
6.0 × 10 −3
Fig. 2.14 Contour plot of the average mass fraction of CO (in g/s) as function of the
input parameters
Table 2.4 Parameters of the EA for the laminar burner optimization (Case B)
Parameter Value
Population size, N 20
Generations 14
Survival probability 10%
Average probability 40%
Crossover probability 50%
Mutation probability 100%
Mutation magnitude 50% a (i.e., ±25%)
a This value is multiplied by 0.85 at each generation. For example, the mutation magnitude
is 11.6% (±5.8%) after 10 generations. Mutation magnitude must be decreased during the
optimization process to stabilize the population.
figure shows again that both objectives improve roughly in the same direction
in parameter space and converge to an almost identical optimal solution.
Figure 2.16 does not contain any information on the corresponding input
parameters. The relation between the input parameters and the objectives are
demonstrated in Fig. 2.17 using parallel coordinates. In this figure, only good
configurations are shown to improve readability. The optimal configurations
correspond to two almost identical fully premixed and nearly stoichiometric
0.1