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Optimization and Computational Fluid Dynamics - Department of ...

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30 Gábor Janiga<br />

INPUT FILE Gambit<br />

Fluent<br />

(Parameter values)<br />

journal file journal file<br />

Gambit 2.3<br />

Generation <strong>of</strong><br />

geometry<br />

+<br />

mesh<br />

Fluent 6.3<br />

CFD simulation<br />

+<br />

Post−processing<br />

C program on Linux for automatization<br />

Fig. 2.6 Flow chart showing the numerical solution procedure<br />

OUTPUT FILE<br />

(Objective values)<br />

computer codes <strong>and</strong> is employed in our case to call a C interfacing program<br />

responsible for the evaluation <strong>of</strong> the objective functions.<br />

2.3.4 Evaluation <strong>of</strong> the Objectives for Case A<br />

In the present case, this evaluation relies on the commercial s<strong>of</strong>tware Gambit<br />

[29] for geometry <strong>and</strong> mesh generation, <strong>and</strong> Fluent [30] for solving the<br />

flow <strong>and</strong> energy equations. Therefore, the evaluation <strong>of</strong> an individual set <strong>of</strong><br />

parameters requires four steps:<br />

1. the generation <strong>of</strong> the computational geometry using the position variables;<br />

2. the generation <strong>of</strong> an appropriate mesh for the obtained geometry;<br />

3. the CFD simulation, i.e., the solution <strong>of</strong> the governing coupled equations<br />

for the flow variable <strong>and</strong> the energy on the mesh generated in the previous<br />

step;<br />

4. the post-processing <strong>of</strong> the obtained results to extract the values <strong>of</strong> the<br />

objective functions for these specific design variables.<br />

Steps 1 <strong>and</strong> 2 are performed using the commercial s<strong>of</strong>tware Gambit 2.3 [29],<br />

step 3 using the CFD code Fluent 6.3 [30] <strong>and</strong> step 4 takes place in the<br />

in-house interfacing code.<br />

2.3.4.1 Step 1: <strong>Computational</strong> Geometry <strong>of</strong> the Heat Exchanger<br />

Configuration with 4 Tubes<br />

The geometrical constraints are prescribed in terms <strong>of</strong> lower <strong>and</strong> upper limits<br />

on the parameters. The positions <strong>of</strong> the middle points <strong>of</strong> the four circular<br />

tubes <strong>of</strong> the heat exchanger are given with their two-dimensional coordinates.<br />

The domain is separated in six non-overlapping zones in x-direction, the first

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