@TechReport{ it:2003-064,
author = {Arnim Br{\"u}ger and Bertil Gustafsson and Per
L{\"o}tstedt and Jonas Nilsson},
title = {High Order Accurate Solution of the Incompressible
Navier-Stokes Equations},
institution = {Department of Information Technology, Uppsala University},
department = {Division of Scientific Computing},
year = {2003},
number = {2003-064},
month = dec,
abstract = {High order methods are of great interest in the study of
turbulent flows in complex geometries by means of direct
simulation. With this goal in mind, the incompressible
Navier-Stokes equations are discretized in space by a
compact fourth order finite difference method on a
staggered grid. The equations are integrated in time by a
second order semi-implicit method. Stable boundary
conditions are implemented and the grid is allowed to be
curvilinear in two space dimensions. In every time step, a
system of linear equations is solved for the velocity and
the pressure by an outer and an inner iteration with
preconditioning. The convergence properties of the
iterative method are analyzed. The order of accuracy of the
method is demonstrated in numerical experiments. The method
is used to compute the flow in a channel, the driven cavity
and a constricted channel.}
}