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Continuity (incompressible)∇ · U = 0

Momentum (Navier-Stokes)∂U/∂t + (U·∇)U = −∇p/ρ + ∇·(ν_eff (∇U + ∇U^T))

Turbulence (S-A DDES)D ν̃ /Dt = c_b1 (1−f_t2) S̃ ν̃ − [c_w1 f_w − c_b1/κ² f_t2] (ν̃/d̃)² + (1/σ)[∇·((ν+ν̃)∇ν̃) + c_b2 (∇ν̃)²]

DDES length scaled̃ = d_w − f_d · max(0, d_w − C_DES · Δ), Δ = (V_cell)^1/3