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>SST</strong>-<strong>SAS</strong> turbulence model<br />
Q<br />
• Experimental k-Φ model<br />
• Transformation to k-ω → <strong>SST</strong>-<strong>SAS</strong> model<br />
Dk<br />
Dt<br />
Dω<br />
Dt<br />
<strong>SAS</strong><br />
=<br />
( 2 2<br />
S − c ω ) + Diff ( k)<br />
= νt<br />
µ<br />
=<br />
α<br />
S<br />
2<br />
− βω<br />
2<br />
+<br />
Q<br />
<strong>SAS</strong><br />
+<br />
Diff<br />
( ω)<br />
2⋅<br />
σ<br />
( 1−<br />
F )<br />
∇k∇ω<br />
© 2007 ANSYS, Inc. All rights reserved. 10 ANSYS, Inc. Proprietary<br />
+<br />
St<strong>and</strong>ard <strong>SST</strong><br />
2<br />
2<br />
⎡<br />
⎛<br />
2⎛<br />
L ⎞ 2k<br />
⎢<br />
⎜<br />
∇ω<br />
∇k<br />
max ζ κ − ⋅<br />
⎢<br />
⎜<br />
⎟<br />
2 S C max , 2 2<br />
σ ⎜<br />
⎣ ⎝ LvK<br />
⎠<br />
Φ ⎝<br />
ω k<br />
ω2<br />
ω<br />
2<br />
⎞ ⎤<br />
⎟ , 0⎥<br />
⎟<br />
⎠ ⎥<br />
⎦
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