UFR 3-36 Evaluation

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Evaluation

The results of the RANS simulations described in a previous section are compared here with the uDNS-computation results preformed by UNIBG. The setup and results of this uDNS computation can be found under Lib:DNS 1-5.

Comparison of uDNS results with RANS results

Figure 3: Skin friction and pressure coefficient on the body wall. Solid line: uDNS, dashed line: SSGLRR-$\omega$, dashdotted line: k-$\omega$

Non-dimensional quantities:

• Pressure coefficient: ${c_{p}=2(p-p_{\infty }/(\rho _{\infty }U_{\infty }^{2}))}$

• Skin-friction coefficient: ${c_{f}=2\tau _{w}/(\rho _{\infty }U_{\infty }^{2}))}$

with the wall pressure $p$, the freestream pressure $p_{\infty }$, the freestream density $\rho _{\infty }$, the freestream velocity $U_{\infty }$ and the wall shear stress $\tau _{w}$.

Figure 4: Streamwise (u) and wall normal (v) velocity profiles along x-axis. Solid line: uDNS, dashed line: SSGLRR-$\omega$, dashdotted line: k-$\omega$

Figure 5: Streamwise (${\overline {u'u'}}$), wall-normal (${\overline {v'v'}}$), shear-stress ($-{\overline {u'v'}}$) and turbulent kinetic energy (k) profiles. Solid line: uDNS, dashed line: SSGLRR-$\omega$

A discussion of the results presented here is given in the Best Practice Advice section.

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Contributed by: Erij Alaya and Cornelia Grabe — Deutsches Luft-und Raumfahrt Zentrum (DLR)

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References

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