A Note on Taylor-Eddy and Kovasznay Solutions of NS-α-Deconvolution and Leray-α-Deconvolution Models

We show that both the Taylor-eddy and Kovasznay exact solutions of the Navier-Stokesequations are also exact solutions of both the NS-α-deconvolution and Leray-α-deconvolutionmodels, but with modified pressures that converge to the Navier-Stokes pressure solution asα→0 or the order of deconvolution tends to infinity. The existence of these exact modelsolutions will provide for better benchmark testing and validation of numerical codes and alsoshows that the models preserve these special structures