Laboratory and numerical study of intense envelope solitons of water waves: Generation, reflection from a wall, and collisions

Laboratory and numerical study of intense envelope solitons of water waves: Generation, reflection from a wall, and collisions
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水波强包络孤子的实验室和数值研究:产生、墙壁反射和碰撞

DOI:
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
G. Clauss
G. Clauss
中科院分区:
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文献类型:
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作者:
A. Slunyaev;M. Klein;G. Clauss

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通过对欧拉方程的数值模拟和实验室实验,研究了共线表面波强孤立波群的动力学。考虑了孤立波的产生、墙的反射和碰撞的过程。特征陡度可达Kacr≈0.3(其中k为优势波数,Acr为波峰幅度)的陡峭孤立波群受到关注。它们在相互作用后大致恢复了结构。在与壁面的相互作用和碰撞过程中,波峰的最大幅度提高了2.5倍。在墙体附近出现了一种类似驻波的结构,无论反射波群的特定相位如何,节点和波前节点都有一定的位置。在不同载流子频率的孤子碰撞情况下,由反常结构引起的最大波群具有很强的不对称性。在某些情况下迎头而上……
The investigation of dynamics of intense solitary wave groups of collinear surface waves is performed by means of numerical simulations of the Euler equations and laboratory experiments. The processes of solitary wave generation, reflection from a wall, and collisions are considered. Steep solitary wave groups with characteristic steepness up to kAcr ≈ 0.3 (where k is the dominant wavenumber and Acr is the crest amplitude) are concerned. They approximately restore the structure after the interactions. In the course of the interaction with the wall and collisions, the maximum amplitude of the wave crests is shown to enhance up to 2.5 times. A standing-wave-like structure occurs in the vicinity of the wall, with certain locations of nodes and antinodes regardless the particular phase of the reflecting wave group. A strong asymmetry of the maximal wave groups due to an anomalous setup is shown in situations of collisions of solitons with different frequencies of the carrier. In some situations of head-on col...