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Nonlinear theory of classical cylindrical Richtmyer-Meshkov instability for arbitrary Atwood numbers
Liu WH; Yu CP(于长平); Ye WH; Wang LF; He XT; Yu, CP (reprint author), Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China.
Source PublicationPhysics of Plasmas
2014-06
Volume21Issue:6Pages:62119
ISSN1070-664X
AbstractA nonlinear theory is developed to describe the cylindrical Richtmyer-Meshkov instability (RMI) of an impulsively accelerated interface between incompressible fluids, which is based on both a technique of Pade approximation and an approach of perturbation expansion directly on the perturbed interface rather than the unperturbed interface. When cylindrical effect vanishes (i.e., in the large initial radius of the interface), our explicit results reproduce those [Q. Zhang and S.-I. Sohn, Phys. Fluids 9, 1106 (1996)] related to the planar RMI. The present prediction in agreement with previous simulations [C. Matsuoka and K. Nishihara, Phys. Rev. E 73, 055304(R) (2006)] leads us to better understand the cylindrical RMI at arbitrary Atwood numbers for the whole nonlinear regime. The asymptotic growth rate of the cylindrical interface finger (bubble or spike) tends to its initial value or zero, depending upon mode number of the initial cylindrical interface and Atwood number. The explicit conditions, directly affecting asymptotic behavior of the cylindrical interface finger, are investigated in this paper. This theory allows a straightforward extension to other nonlinear problems related closely to an instable interface. (C) 2014 AIP Publishing LLC.
Subject AreaPhysics
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000338995300040
Funding OrganizationThe author Liu sincerely thanks the anonymous reviewer for the valuable comments that have led to the present improved version of the original manuscript. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11275031, 10835003, 11372330, 11072248, and 11274026), the 863 Program (No. 2012AA01A304), the CAS Program (Nos. KJCX2-EW-J01, XXH12503-02-02-04) and the National High-Tech ICF Committee.
DepartmentLHD可压缩湍流
Classification一类
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/49038
Collection高温气体动力学国家重点实验室
Corresponding AuthorYu, CP (reprint author), Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Liu WH,Yu CP,Ye WH,et al. Nonlinear theory of classical cylindrical Richtmyer-Meshkov instability for arbitrary Atwood numbers[J]. Physics of Plasmas,2014,21(6):62119.
APA Liu WH,Yu CP,Ye WH,Wang LF,He XT,&Yu, CP .(2014).Nonlinear theory of classical cylindrical Richtmyer-Meshkov instability for arbitrary Atwood numbers.Physics of Plasmas,21(6),62119.
MLA Liu WH,et al."Nonlinear theory of classical cylindrical Richtmyer-Meshkov instability for arbitrary Atwood numbers".Physics of Plasmas 21.6(2014):62119.
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