Linear and nonlinear Rayleigh-Taylor growth at strongly convergent spherical interfaces
Linear and nonlinear Rayleigh-Taylor growth at strongly convergent spherical interfaces
复制标题
强收敛球形界面处的线性和非线性瑞利-泰勒生长
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
M. Tabak
中科院分区：
文献类型：
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作者：
D. Clark;M. Tabak
球面收敛对瑞利-泰勒生长非线性相位的影响是近年来人们关注的焦点。对于球面收敛界面上的不稳定增长，已经报道了对单一非线性模式长期增长的Layzer模型预测的修正[D]。S. Clark和M. Tabak，物理学家[j].中国生物医学工程学报，2011,27(5)。然而，该模型在假设自相似背景内爆历史以及仅处理已经非线性的大振幅扰动的增长方面是有限的。此外，只考虑了单模增长的情况，而不是应用中感兴趣的多模增长。在这里，这些缺陷得到了弥补。首先，证明了最近的非线性结果（包括收敛）与众所周知的线性增长的结果之间的联系。其次，表明了该模型对更一般的内爆历史（即非自相似）的适用性。最后，为了解决多模态增长的情况…
Recent attention has focused on the effect of spherical convergence on the nonlinear phase of Rayleigh-Taylor growth. For instability growth on spherically converging interfaces, modifications to the predictions of the Layzer model for the secular growth of a single, nonlinear mode have been reported [D. S. Clark and M. Tabak, Phys. Rev. E 72, 056308 (2005)]. However, this model is limited in assuming a self-similar background implosion history as well as only addressing growth from a perturbation of already nonlinearly large amplitude. Additionally, only the case of single mode growth was considered and not the multimode growth of interest in applications. Here, these deficiencies are remedied. First, the connection of the recent nonlinear results (including convergence) to the well-known results for the linear regime of growth is demonstrated. Second, the applicability of the model to more general implosion histories (i.e., not self-similar) is shown. Finally, to address the case of multimode growth wit...