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.

摘要

从理论上研究了一维大气压力扰动以恒定加速度运动引起的能量分布和变化。基于解析解，沿着三个表面波的运动轨迹证实了明显的能量波动。在此基础上，进一步研究了瞬时APD中心周围的能量分布。在APD中心周围，势能占总能量的主导。加速情况下的能量小于相应理想情况下的能量。它们之间的比率在APD中心附近达到最大值，而两侧都下降，显示出空间上不对称的图案。关于总累积能量，势能和动能都逐渐接近其理想状态。同时，从能量输入和输出角度定量分析了能量变化率。能量增加/减少发生在APD中心的前/后侧。尽管如此，APD前面的能量增长更为显着，这归因于从前面输入的更多能量。此外，还可以确定，在加速移动的APD下，总的能量增长既包括从APD输入的能量，也包括从外部转移到该区域的能量。