Boundary conditions and estimates for the linearized Navier-Stokes equations on staggered grids
In this paper, we consider the linearized Navier-Stokes equations in two dimensions under specified boundary conditions. We study both the continuous case and a discretization using a second-order finite difference method on a staggered grid and derive estimates for both the analytic solution and the approximation on staggered grids. We present numerical experiments to verify our results. (C) 2002 Elsevier Science Ltd. All rights reserved.
navier-stokes equations staggered grids