In this paper we validate an improved finite volume approximation of Reynolds
Averaged Navier-Stokes equations for simulation of wind flows in body-fitted
grids generated by algebraic extrusion from digital terrain elevation data,
proposed in N. Mirkov et. al. J. Comput. Phys. 287, 18-45(2015), [1]. The
approach is based on second-order accurate finite volume method with
collocated variable arrangement and pressure-velocity coupling trough SIMPLE
algorithm. The main objective is the attenuation of spurious pressure field
oscillations in regions with discontinuity in grid line slopes, as
encountered in grids representing highly non-uniform terrains. Moreover, the
approach relaxes the need for grid generation based on elliptic PDEs or grid
smoothing by applying fixed point iterations (i.e. Gauss-Seidel) to initial
grid node positions resulting from algebraic grid generators. Drawbacks of
previous approaches which ignored treatment of finite volume grid cell cases
with intersection point offset in non-orthogonality corrections are removed.
Application to real-life wind farm project at Dobric (Srvljig, Serbia) is
used to assess the effectiveness of the method. The results validate the view
in which accurate discretization of governing equations play more important
role than the choice of turbulence modelling closures. [Projekat Ministarstva
nauke Republike Srbije, br. TR-33036]