Leo Liberti, James Ostrowski
Journal of Global Optimization
We explore the utility of the recently proposed alpha equations in providing a subgrid model for fluid turbulence. Our principal results are comparisons of direct numerical simulations of fluid turbulence using several values of the parameter alpha, including the limiting case where the Navier-Stokes equations are recovered. Our studies show that the large scale features, including statistics and structures, are preserved by the alpha models, even at coarser resolutions where the fine scales are not fully resolved. We also describe the differences that appear in simulations. We provide a summary of the principal features of the alpha equations, and offer some explanation of the effectiveness of these equations used as a subgrid model for three-dimensional fluid turbulence. © 1999 Elsevier Science B.V.
Leo Liberti, James Ostrowski
Journal of Global Optimization
David L. Shealy, John A. Hoffnagle
SPIE Optical Engineering + Applications 2007
David W. Jacobs, Daphna Weinshall, et al.
IEEE Transactions on Pattern Analysis and Machine Intelligence
W.F. Cody, H.M. Gladney, et al.
SPIE Medical Imaging 1994