Eddy viscosity transport model for turbulent flow

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Abstract
An eddy viscosity transport model that is integrable to no‐slip walls is described. The transport equation accommodates significant departure of the turbulence from equilibrium. The model uses an elliptic relaxation equation to avoid a need for damping functions; nonlocal wall effects are produced by solving the elliptic equation. Length scales are determined locally, without reference to distance to a surface. The model bifurcates from a laminar to a turbulent solution at a reasonable critical Reynolds number in plane channel flow. An assessment of the model is provided via boundary layer computations: these show that it behaves well in zero and adverse pressure gradients, although premature separation occurs in a strong adverse pressure gradient. Good results are obtained for the trailing edge separation bubble of an aerofoil at large angle of attack.