Abstract

AbstractA general numerical method for the solution of the complete Reynolds‐averaged Navier‐Stokes equations for 2D or 3D flows is described. The method uses non‐orthogonal co‐ordinates, Cartesian velocity components and a pressure‐velocity‐coupling algorithm adequate for non‐staggered grid systems. The capability of the method and the overall performance of the κ–ϵ eddy viscosity model are demonstrated by calculations of 2D and 3D flow over a hill. Solution error estimations based on fine grids, e.g. 320 × 192 control volumes, together with comparisons with standard turbulence model modifications, low‐Reynoldsnumber or streamline curvature effects, have allowed the investigation of model drawbacks in predicting turbulent flows over surface‐mounted hills.

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