Development and Application of SST-SAS Turbulence Model in the ...
Development and Application of SST-SAS Turbulence Model in the ...
Development and Application of SST-SAS Turbulence Model in the ...
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<strong>SAS</strong> concept. v.Karman length scale<br />
• Rotta’s transport eq. for spatial correlation-based L<br />
• 2 nd scale from ∂ 2 U/∂y 2 → von Karman length scale<br />
• New RANS model for k <strong>and</strong><br />
DΦ<br />
Dt<br />
=<br />
Φ<br />
k<br />
P<br />
⎡<br />
× ⎢ζ<br />
⎢⎣<br />
k L<br />
• Two natural local scales: S <strong>and</strong> L vK<br />
−<br />
ζ<br />
⎛<br />
⎜<br />
⎝<br />
L<br />
L<br />
© 2007 ANSYS, Inc. All rights reserved. 6 ANSYS, Inc. Proprietary<br />
Φ<br />
⎞<br />
⎟<br />
⎠<br />
⎤<br />
⎥<br />
⎥⎦<br />
=<br />
−<br />
ζ<br />
k 1 2<br />
3<br />
vK<br />
Pk t<br />
vK<br />
2<br />
= ν S , L = κ S ∇<br />
2<br />
k<br />
2<br />
U<br />
+<br />
Diff<br />
( Φ)
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