@inbook{8e138952894d44539f40bababe9e76c8,
title = "On numerical oscillations in high-order finite difference solutions of boundary layer problems on nonuniform grids",
abstract = "Numerical oscillations generated in compact and classical fourth-order finite difference solutions of problems with boundary or interior layers are investigated. Two classes of nonlinear problems in fluid dynamics that exhibit boundary or interior layers are studied. It is observed that both classical and compact fourth-order finite difference schemes exhibit spurious oscillations at the interface between the uniform and nonuniform grid regions, with those oscillations exhibited by the classical finite difference schemes being more pronounced. It is shown that the interface oscillations are caused by inadequate grid geometric progression ratios within the nonuniform grid region. Based on a thorough study of the effects of the parameters that characterize the grid, on both the grid distribution and the oscillations, it is shown that the oscillations are eliminated.",
author = "Sabau, {Adrian S.} and Raad, {Peter E.}",
year = "1995",
language = "English",
series = "American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED",
editor = "M.N. Dhaubhadel and K. Nakahashi and W.G. Habashi and R.K. Agarwal and K. Oshima",
booktitle = "Numerical Developments in CFD",
note = "Proceedings of the 1995 ASME/JSME Fluids Engineering and Laser Anemometry Conference and Exhibition ; Conference date: 13-08-1995 Through 18-08-1995",
}