Elliptic-blending k - ε model
Elliptic-blending k - ε model
Elliptic-blending k - ε model
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Formulation<br />
Original <strong>model</strong>, Billard & Laurence (2012)<br />
Dρk<br />
Dt = Pk +E −ρ<strong>ε</strong>+ ∂<br />
<br />
µ µt ∂k<br />
+<br />
∂xj 2 σk ∂xj<br />
Dρ<strong>ε</strong> 1 <br />
= C<strong>ε</strong>1<br />
Dt τ<br />
Pk −ρC ∗ <strong>ε</strong>2<strong>ε</strong> + ∂<br />
<br />
µ µt ∂<strong>ε</strong><br />
+<br />
∂xj 2 σ<strong>ε</strong> ∂xj<br />
Dρϕ<br />
Dt = ρ(1−α3 )fw +ρα 3 ϕ<br />
fh −Pk<br />
k +CDϕ + ∂<br />
<br />
µ µt ∂<br />
+<br />
∂xj 2 σϕ ∂<br />
L 2 ∂2 α<br />
∂xj∂xj<br />
= α−1
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