Application of the two‐equation k‐ϵ turbulence model to a two‐dimensional, steady, free surface flow problem with separation

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Abstract
An application of the depth‐integrated k‐ϵ turbulence model is presented for separated flow in a wide, shallow, rectangular channel with an abrupt expansion in width. The well‐known numerical problems associated with the use of upwind and central finite differences for convection are overcome by the adoption of the spatially third‐order accurate QUICK finite difference technique. Results show that modification of the depth‐integrated k‐ϵ turbulence closure model for streamline curvature leads to significant improvement in the agreement between model predictions and experimental measurements.