Evaluation of lateral boundary errors in a limited-domain model

Abstract

Computational errors that arise from the imposition of artificial lateral boundaries in numerical forecast models are evaluated, using the Perkey–Kreitzberg method of variable tendency averaging near the boundary in the NCAR second generation Limited Area Model. Boundary error is diagnosed for two sets of initial conditions by using an unbounded forecast as background truth. Several components of boundary error are identified and evaluated. These include the accuracy of the boundary specification, the formulation of the blending, the increased boundary diffusion, and the physical location of the boundary. The formulation is tested by comparing boundary errors generated by the Williamson–Browning method for the same initial conditions. Finally, the boundary errors are compared to the total forecast error to evaluate its significance.

Results indicate the Perkey–Kreitzberg method is stable for a wide variety of resolutions and situations. Significant errors propagate inward from the boundaries at speeds of 20–30° longitude per day. Inaccuracies in the data specified at the boundary can account for a major part of these errors, while increased diffusion near the boundary plays a lesser role in error generation. The two formulations produce similar error structures, but with less generation of spurious transients in the Williamson–Browning method. However this method proved to be unstable at high horizontal resolutions. In general, the boundary error is much less than the total forecast error.