Spatiotemporal variation of wave energy induced by an accelerated moving atmospheric pressure disturbance

Abstract

ABSTRACT In this paper, energy distribution and variation induced by a one-dimensional atmospheric pressure disturbance (APD) moving with a constant acceleration are theoretically studied. Based on the analytical solution, significant energy fluctuations are confirmed along the moving tracks of three surface waves. Upon which, energy distribution around the instantaneous APD center is further investigated. Around the APD center the potential energy dominates the total energy. The energy of the accelerated case is smaller than that of the corresponding idealized case. The ratio between them reaches its maximum near the APD center and declines both sides showing a spatially asymmetric pattern. Regarding the total accumulated energy, both potential and kinetic energies approach their idealized situations gradually. Meanwhile, the energy variation rate is quantitatively analyzed from perspectives of energy input and output. Energy growth/reduction occur at the front/rear side of the APD center. Nevertheless, the energy growth in front of the APD is more significant, ascribing to the more energy input from the front. In addition, it’s also confirmed that under the accelerated moving APD, the total energy growth is composed of both the energy inputting from the APD and the energy transferred from outside into the region.