arXiv: Chaotic Dynamics最新文献_第9页

DNS Study for the origin of the flow Randomization in Late Boundary Layer Transition 边界层后期过渡流动随机化起源的DNS研究

arXiv: Chaotic Dynamics Pub Date : 2013-01-07 DOI: 10.2514/6.2013-997

M. Thapa, P. Lu, Chaoqun Liu

{"title":"DNS Study for the origin of the flow Randomization in Late Boundary Layer Transition","authors":"M. Thapa, P. Lu, Chaoqun Liu","doi":"10.2514/6.2013-997","DOIUrl":"https://doi.org/10.2514/6.2013-997","url":null,"abstract":"This paper is devoted to the investigation of the origin and mechanism of randomization in late boundary layer transition over a flat plate without pressure gradient. The flow randomization is a crucial phase before flow transition to the turbulent state. According to existing literatures, the randomization was caused by the big background noises and non-periodic spanwise boundary conditions. It was assumed that the large ring structure is affected by background noises first, and then the change of large ring structure affects the small length scales quickly, which directly leads to randomization and formation of turbulence. However, by careful analysis of our high order DNS results, we believe that the internal instability of multiple ring cycles structure is the main reason. What we observed is that randomization begins when the third cycle overlaps the first and second cycles. A significant asymmetric phenomenon is originated from the second cycle in the middle of both streamwise and spanwise directions. More technically, a visible asymmetric phenomenon in the middle vortex ring cycle starts at time step t=16.25T and x=838.9{delta}in where the top and bottom level rings are still completely symmetric. The non-symmetric structure of middle level ring affects the small length scale in boundary layer bottom quickly. The randomization phenomenon spreads to top level through ejections. Finally, the whole flow domain becomes randomized. A hypothesis of C- and K-types shift is given as a possible mechanism of flow randomization.","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"147 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116620727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Chaotic saddles in nonlinear modulational interactions in a plasma 等离子体中非线性调制相互作用中的混沌鞍

arXiv: Chaotic Dynamics Pub Date : 2012-11-21 DOI: 10.1063/1.4766472

R. Miranda, E. Rempel, A. Chian

引用次数: 5

Fractional Maps and Fractional Attractors. Part I: $alpha$-Families of Maps 分数映射和分数吸引子。第一部分:$alpha$-地图族

arXiv: Chaotic Dynamics Pub Date : 2012-09-25 DOI: 10.5890/DNC.2012.07.003

M. Edelman

引用次数: 26

Control of atomic transport using autoresonance 利用自共振控制原子输运

arXiv: Chaotic Dynamics Pub Date : 2012-07-01 DOI: 10.1142/9789814405645_0003

D. Makarov, M. Uleysky, S. Prants

引用次数: 7

Knowing when to stop: How noise frees us from determinism 知道何时停止:噪音如何使我们摆脱决定论

arXiv: Chaotic Dynamics Pub Date : 2012-06-24 DOI: 10.1063/1.4745574

P. Cvitanović, D. Lippolis

引用次数: 9

OGY Control of Haken Like Systems on Different Poincare Sections 不同庞加莱截面上Haken类系统的OGY控制

arXiv: Chaotic Dynamics Pub Date : 2012-06-05 DOI: 10.1007/978-3-642-33914-1_52

Mozhgan Mombeini

引用次数: 2

Scaling Properties of the Lorenz System and Dissipative Nambu Mechanics 洛伦兹系统的标度性质与耗散南布力学

arXiv: Chaotic Dynamics Pub Date : 2012-05-15 DOI: 10.1142/9789814602136_0002

M. Axenides, E. Floratos

{"title":"Scaling Properties of the Lorenz System and Dissipative Nambu Mechanics","authors":"M. Axenides, E. Floratos","doi":"10.1142/9789814602136_0002","DOIUrl":"https://doi.org/10.1142/9789814602136_0002","url":null,"abstract":"In the framework of Nambu Mechanics, we have recently argued that Non-Hamiltonian Chaotic Flows in $ R^{3} $, are dissipation induced deformations, of integrable volume preserving flows, specified by pairs of Intersecting Surfaces in $R^{3}$. In the present work we focus our attention to the Lorenz system with a linear dissipative sector in its phase space dynamics. In this case the Intersecting Surfaces are Quadratic. We parametrize its dissipation strength through a continuous control parameter $epsilon$, acting homogeneously over the whole 3-dim. phase space. In the extended $epsilon$-Lorenz system we find a scaling relation between the dissipation strength $ epsilon $ and Reynolds number parameter r . It results from the scale covariance, we impose on the Lorenz equations under arbitrary rescalings of all its dynamical coordinates. Its integrable limit, ($ epsilon = 0 $, fixed r), which is described in terms of intersecting Quadratic Nambu \"Hamiltonians\" Surfaces, gets mapped on the infinite value limit of the Reynolds number parameter (r $rightarrow infty, epsilon= 1$). In effect weak dissipation, through small $epsilon$ values, generates and controls the well explored Route to Chaos in the large r-value regime. The non-dissipative $epsilon=0 $ integrable limit is therefore the gateway to Chaos for the Lorenz system.","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"391 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134453165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Intensity distribution of non-linear scattering states 非线性散射态的强度分布

arXiv: Chaotic Dynamics Pub Date : 2012-05-14 DOI: 10.1063/1.4745581

T. Hartmann, J. Urbina, K. Richter, P. Schlagheck

引用次数: 1

Notions of Chaotic Cryptography: Sketch of a Chaos Based Cryptosystem 混沌密码学的概念:一个基于混沌的密码系统草图

arXiv: Chaotic Dynamics Pub Date : 2012-03-14 DOI: 10.5772/36419

Pellicer-Lostao Carmen, López-Ruiz Ricardo

引用次数: 9

$1/f$ Spectrum and 1-Stable Law in One-Dimensional Intermittent Map with Uniform Invariant Measure and Nekhoroshev Stability 具有一致不变测度和Nekhoroshev稳定性的一维间断映射中的$1/f$谱和1-稳定律

arXiv: Chaotic Dynamics Pub Date : 2012-02-02 DOI: 10.1143/JPSJ.81.024009

Soya Shinkai, Y. Aizawa

引用次数: 3