finite differencing, Spectral methods applied to problems in fluid mechanics, Navier-Stokes equations for incompressible viscous fluids, Direct numerical and large eddy simulation of turbulence, implied differencing filter, Spectral accuracy, Approximate deconvolution, computational fluid dynamics, Computational fluid dynamics, spectral accuracy, Implied differencing filter, Finite difference methods applied to problems in fluid mechanics, approximate deconvolution, Finite differencing, Finite difference methods for initial value and initial-boundary value problems involving PDEs