NUMERICAL SIMULATION OF TRAVELING WAVE CONVECTION IN A WEAKLY NONLINEAR REGIME
NUMERICAL SIMULATION OF TRAVELING WAVE CONVECTION IN A WEAKLY NONLINEAR REGIME
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弱非线性系统中行波对流的数值模拟
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
C. Nitto
中科院分区：
文献类型：
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作者：
C. Nitto
本文给出了矩形槽内二元流体对流中闪烁行波状态的模拟结果。采用全水动力方程的二维摄动方程进行了数值模拟。我们首次发现BTW或晃动行波状态是一种由源缺陷运动产生的调制行波（MTW），它源于端壁反射效应，依赖于减少的瑞利数。与局域行波（LTW）的比较表明，局域行波为弱非线性分支上的小振幅对流型，局域行波为全非线性分支上的大振幅对流型。它们有不同的动力学行为。随着振荡周期的延长和振幅超过BTW的上临界值，从BTW支路向稳定的LTW支路发生不连续的跳跃。
This paper presents a simulational result on a blinking traveling wave (BTW) state in binary fluid convection in a rectangular cell. The numerical simulations were made using the two dimensional perturbation equations of full hydrodynamic equations. We found for the first time that the BTW or sloshing traveling wave state is a type of modulated traveling wave (MTW) generated by the motion of a source defect which originates from the reflection effect at the end walls and depends on the reduced Rayleigh number r. Comparison with the localized traveling wave (LTW) shows that the BTW is convective patterns on a weakly nonlinear branch with a small amplitude and the LTW is those on a full nonlinear branch whth a large amplitude. They have different dynamical behaviour. A discontinuous jump from the BTW branch to the stable LTW branch takes place as the oscillatory period lengthens and the amplitude grows above the upper critical value of the BTW.