The Wavenumber-Frequency Spectra (WFS) of turbulent wall-pressure fluctuations are used to design underwater acoustic systems and a method is presented to determine them for flow over flat and cylindrical surfaces using Large-Eddy-Simulations (LES). First, the Reynold’s Averaged Navier-Stokes (RANS) analysis is carried out using k-ω Shear-Stress-Transport model. Flow parameters are extracted from the output of this analysis and used to impose boundary conditions for LES using a smaller domain with a finer mesh. Mesh convergence studies are done to establish the adequacy of the proposed meshing scheme for estimating the Turbulent Boundary Layer (TBL) wall pressures. The stream-wise velocity profiles, turbulence intensities, and power spectra obtained using LES are compared with other computational and experimental results. The time history of fluctuating pressure on the wall at various stream-wise locations is used to estimate the WFS. Estimations are made of the convective ridge as well as sub-convective and low wavenumber portions of the spectrum. The effect of downstream distance on the WFS is studied and shown that the downstream distance has little effect on the WFS once the flow has become fully turbulent. The use of a desktop workstation for the estimation of WFS has not been reported earlier. The results show that the WFS of turbulent pressure due to flow over more complex geometries can be estimated using a similar method.