The development and evolution of atmospheric long-wave has an important impact on the atmospheric predictability, and is important to improve weather and climate prediction. In addition to the wave-wave nonlinear interaction, the basic flow is also a significant factor of the atmospheric long-wave adjustment. Based on equations of Rossby wave within non-uniform basic flow, the numerical solution is calculated to study the effect of basic flow's structure and initial condition on the evolution of Rossby wave. The result indicates that, in linear context, the Rossby wave also presents adjustment of long-wave in the presence of zonal non-uniform basic flow. Therefore, the zonal non-uniform basic flow is another important mechanism for adjustment of long-wave. The adjustment is not sensitive to the amplitude of initial fluctuations. However, it is found that the amplitude of the basic flow determines the emergence and start time of long-wave adjustment. The zonal average of basic flow can also affect the long-wave. It not only has impacts on the speed and direction of Rossby wave propagation, but also affects the time of adjustment occurrence and its evolution characteristic. The adjustment is also correlated with the structure of the basic field and the initial field. The structure of basic flow decides the emergence and direction of adjustment. On the premise of same basic flow, the initial fluctuations with different structures also have different evolutions of wave.
