Abstract
Abstract A new length scale and dissipation rate for a purely mathematically based algebraic turbulence model derived from renormalization group theory is proposed. The proposed length scale is developed in conjunction with an accurate characteristic length scale and the dissipation rate pertaining to the damping action due to the viscous force. In the fundamental aspect, this model is tested by applying it to a flat-plate problem to check that a simple shear layer is modeled adequately. As an application, a typical transonic flow around an airfoil is presented together with the experimental results. Comparison with other algebraic turbulence models is discussed.
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