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Optimization and Computational Fluid Dynamics - Department of ...

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22 Gábor Janiga<br />

y [mm]<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

-15<br />

-10<br />

-5<br />

0<br />

x [mm]<br />

5<br />

Symmetry<br />

Primary inlet Secondary inlet<br />

Fig. 2.2 General configuration <strong>of</strong> the laminar burner (Case B). A methane/air mixture<br />

enters through the primary <strong>and</strong> secondary inlets with a varying composition<br />

<strong>and</strong> chemical reactions, <strong>and</strong> this within a reasonable computing time, even<br />

for configurations close to practical ones.<br />

2.1.4 Determination <strong>of</strong> Turbulence Model Parameters<br />

Based on <strong>Optimization</strong> (Case C)<br />

Turbulent flows are essential for a wealth <strong>of</strong> practical applications. Predictive<br />

numerical tools are <strong>of</strong> course deeply needed to improve existing devices <strong>and</strong><br />

develop new configurations in the turbulent regime. The broad range <strong>of</strong> problems<br />

underlying turbulent flows cannot be solved with a unique method. It is<br />

therefore useful to identify different levels <strong>of</strong> modeling, describe their domain<br />

<strong>of</strong> application <strong>and</strong> some characteristic features. Direct Numerical Simulations<br />

(DNS) are only possible for simple configurations <strong>and</strong> low-Reynolds number<br />

flows. Large-Eddy Simulations (LES) resolve the large structures <strong>of</strong> the flow<br />

while the small scales are modeled. LES modeling becomes now feasible in<br />

many situations due to the increase <strong>of</strong> computing power but remains an expensive<br />

solution for industrial problems. In the RANS modeling, the balance<br />

equations are averaged in time with respect to the turbulent fluctuations <strong>of</strong><br />

the flow variables. This averaging introduces higher-order moments which<br />

cannot be computed without approximate closure schemes. Nevertheless, nu-<br />

10<br />

15

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