Snapshot of the evolution of velocity across the domain at one time instance. The source is located at − 68 Mm and the photosphere is at 0 Mm. Large amplitude velocity is present in the chromosphere due to the high energy content of the resonating cavity. Wave trains propagating into the corona are reasonably well structured. Time evolution of velocity at different points is shown in Fig. 6. For this plot a flat chromospheric temperature profile of depth 1.8 Mm was used with a white noise velocity source.