Utilization of Normal Mode Initial Conditions for Detecting Errors in the Dynamics Part of Primitive Equation Global Models

Abstract

When a global atmospheric basic state has constant angular velocity and its temperature varies with attitude only, there exist normal mode solutions to the linearized global primitive equations. The use of these normal modes, which have known behavior in time, is superior to the use of the Rossby-Haurwitz wave as initial conditions for detecting errors in the dynamics part of primitive equation global models. With these initial conditions, integration through only one time step is sufficient to detect many formulation and coding errors. Other tests are still required for detecting problems of nonlinear instability and conservation of integral properties, however.