Influences of Interaction of External Source with Solitary Wave on Blocking
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摘要: 利用准地转涡度方程导出包括外源和摩擦耗散的强迫广义KdV-Burgers方程,分析表明,外源和耗散的存在是孤波质量和能量变化的原因,耗散使孤波质量和能量随时间呈指数减小。数值计算结果指出,移动性孤波和外源的相互作用,使孤波移速减小,振幅增大;在无耗散情况下,失谐参数α较小时,由于孤波迅速离开外源强迫区,因此不利于阻塞的形成;小耗散的存在,迫使相互作用过程中孤波在外源强迫区附近来回振荡传播,大大增加相互作用时间,可能是造成外源区附近局地阻塞的一种重要机制。Abstract: A generalized Forcing KdV-Burgers equation including external source and friction dissipation is derived. The analysis shows that the external source with the dissipation would cause variation of mass and energy of solitary wave, and the dissipation would make mass and energy of solitary wave decreased exponentially with time. The numerical results show that the interaction of solitary wave with external source decreases the moving speed of solitary wave, and increases its amplitude. Without dissipation, solitary wave leaves the forcing region of external source quickly, and it is disadvantage for blocking formation, and however, with small dissipation, the interaction would cause solitary wave propagate in the form of oscillation around the forcing region of external source, which would greatly increase the interaction time, and maybe an important mechanism for the formation of regional blocking in the area of external source.
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Key words:
- External source;
- Dissipation;
- Interaction;
- Blocking
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