Uppsala University Department of Information Technology

Technical Report 2001-019

Boundary conditions and estimates for the linearized Navier-Stokes equations on staggered grids

Wendy Kress and Jonas Nilsson

September 2001

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.

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