| 重力波波包相互作用时空演变的数值研究 |
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| 引用本文： | 祝丹,易帆.重力波波包相互作用时空演变的数值研究[J].空间科学学报,1998,18(1):52-61. |
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| 作者姓名： | 祝丹 易帆 |
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| 作者单位： | 中国科学院武汉物理与数学研究所 430071 |
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| 基金项目： | 国家杰出青年科学基金!49625407 |
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| 摘 要： | 本文设计了一种研究二维空间中重力波波包共振相互作用演变的数值模式.利用此模式获得二个大振幅重力波波包通过碰撞而发生的完整的相互作用过程.数值结果表明,能量上行重力波可以通过波-波相互作用激发能量下行重力波;在相互作用的时空演变过程中,3个波包的能量收支情况和相互作用的强度具有局地性;由于考虑了空间传播效应,相互作用过程不再具有周期性,而是出现一个具有不同物理含义的相互作用特征时间,这个新的相互作用特征时间和相互作用最终的发展程度不仅由相互作用系数和初始波包振幅决定,还受到波包空间尺度和波包群速度的相对大小控制.
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| 关 键 词： | 重力波 非线性相互作用 数值模拟 |
| 收稿时间： | 1997-05-26 |
A NUMERICAL STUDY ON THE SPATIAL AND TEMPORAL EVOLUTION OF INTERACTIONS OF GRAVITY WAVES PACKETS |
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| ZHU Dan, YI Fan.A NUMERICAL STUDY ON THE SPATIAL AND TEMPORAL EVOLUTION OF INTERACTIONS OF GRAVITY WAVES PACKETS[J].Chinese Journal of Space Science,1998,18(1):52-61. |
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| Authors: | ZHU Dan YI Fan |
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| Affiliation: | Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, 430071 |
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| Abstract: | A numerical model for studying the evolution of interactions among coherent gravity wave packets in a two-dimensional space is developed. With this model the complete evolution of interactions caused by the collision between two large-amplitude wave packets is revealed. Numerical results show that downgoing gravity waves can be excited by upgoing gravity waves through interactions. During the evolution process of these interactions, the energy budget of three wave packets and the intensity of interactions are localized. Since the spatial propagation is included, the interaction process is no longer Periodical and then a new characteristic time arises, which has completely different meaning compared with the previous one. This new characteristic time and the final developing level of interactions are determined not only by wave interaction coefficients and the initial amplitudes of wave packets, but also by wave packet spatial scales and the relative magnitude of wave group velocities. |
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| Keywords: | Gravity wave Nonlinear interaction Numerical simulation |
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