Some numerical experiments with the primitive equations of motion
Bennett, Charles L.
Britten, Leslie L.
Haltiner, George J.
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A simple primitive-equation model for numerical prediction of wind fields and temperature fields at 800 and 400 mb is developed and programmed. Numerical experiments are conducted with this model in an effort to suppress the spurious instability encountered in solution of the primitive equations. The model proves to be very sensitive to spatial finite-differencing schemes. The schemes developed in this study tend to suppress the instability resulting from truncation and round-off error. Instability resulting from unrealistic boundary conditions for a limited forecast region is reduced by not allowing advection across the boundaries and appears to be controlled by the finite-differencing schemes used in this study.
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