C. Cossu et T. Loiseleux, ON THE CONVECTIVE AND ABSOLUTE NATURE OF INSTABILITIES IN FINITE-DIFFERENCE NUMERICAL SIMULATIONS OF OPEN FLOWS, Journal of computational physics (Print), 144(1), 1998, pp. 98-108
In numerical simulations of unstable flows the absolute or convective
nature of the instability can be modified by numerical effects. We int
roduce a convective/absolute analysis of the dispersion relations asso
ciated with discretized operators. This analysis leads to conditions o
n the discretization parameters in order to avoid numerical transition
from absolute to convective instability and vice versa. In numerical
simulations of non-parallel flows, local numerical transitions, of the
kind described in this paper, could lead to the wrong global dynamics
. (C) 1998 Academic Press.