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Technical Approach:We have developed a numerical tool to simulate flow over a complex boundary while retaining the simplicity and efficiency of computation in a Cartesian system. This was done using, an immersed boundary method (IBM). We used this method to simulate turbulent channel flow between a smooth wall and one covered with regular three-dimensional roughness elements. Our code uses a fourth-order compact finite-difference scheme in the wall-normal direction and Fourier in the streamwise and spanwise directions. The serial code has been successfully parallehzed using MPI. The parallelization strategy is based on the domain decomposition technique, since the IBM approach requires communication between the processors, which contain the interpolating velocity grid points, and those with the grid points where the body force needs to be applied. The communication among these processors has been obtained using an elegant MPI broadcasting and bookkeeping strategy. This code exhibits excellent scalability.
Summairy:Direct numerical simulations of a turbulent channel flow between a smooth and rough wall have been performed in order to investigate the effects of surface roughness on wall-bounded turbulence. To get a clearer picture of the impact of roughness in turbulent boundary layers, we have investigated the effects of 3D roughness arranged in an "egg carton" pattern. We performed a statistical analysis of the large-and small-scale features of the flow. When normalized by the wall-shear velocity, Ur, at the smooth-wall side, the root-mean-square velocity fluctuations at the rough-wall side are higher than the smooth-wall side. A similar effect is seen for the vorticity fluctuations. But when normalized by the local Uj, the u and w fluctuations are smaller and the V fluctuation is higher for the rough-wafl side in the inner layer, indicating arnore isotropic state. In the outer layer all three velocity fluctuations are a smaller fraction of Ur on the roughwall side. The velocity f...