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chaosbook:pdes [2011/07/05 03:25]
predrag link to "Turbulent transition in a truncated one-dimensional model for shear flow"
chaosbook:pdes [2012/04/13 08:20] (current)
predrag [A literature blog]
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 {{gtspring2009:​pc.jpg}} ​ {{gtspring2009:​pc.jpg}} ​
  
-===== Blog ===== +===== A literature blog =====
- +
-**2011-07-05 Predrag** [[http://​arxiv.org/​abs/​1107.0580|arXiv.org:​1107.0580]],​ "​Turbulent transition in a truncated one-dimensional model for shear flow" by J.H.P. Dawes and W.J. Giles merits a closer look. +
- +
-**2010-06-10 Predrag** Run into a bunch of papers by  Magnitskii about "​Feigenbaum-Sharkovskii-Magnitskii scenario of transition to turbulence in +
-the Rayleigh-Benard convection."​ Feigenbaum and Sharkovskii can sleep restfully (it is about sequences of bifurcations from the laminar attractor into tori and such, with increasing Rayleigh and Prandtl numbers) but visualizations onto {{:​chaosbook:​uvw.gif|}} like this one +
- +
-{{:​chaosbook:​2torus.jpg|}} +
- +
-might be useful to us. Of course, they do not explain the flow that generated this plot; presumably they have fixed a point in //(x,y,z)// and then trace //​(U,​V,​W)(x,​y,​z;​t)//​ as a function of time. Fixing //U=0// also enables them to visualize a section across this torus. I put one of the articles, N.M. Evstigneev, N.A. Magnitskii and S.V. Sidorov, "​Nonlinear dynamics of laminar-turbulent transition in three dimensional Rayleigh-Benard convection",​ //​Communications in Nonlinear Science and Numerical Simulation//​ **15**, 1007-5704 (2010), into [[https://​www.zotero.org/​groups/​cns/​items/​collection/​1931456|https://​www.zotero.org/​groups/​cns library]]. +
- +
-**2009-11-25 Humbledt Plumber to Benny Lautrup:** methinks, +
- +
-"Pipes and planes"​ glides down your tongue like poetry +
- +
-"​Plates and pipes" ​ (chapter title in Lautrup'​s book) is strictly engineering - no physicists thinks of a "​plate";​ infinite in all directions is called a "​plane"​. +
- +
-**2009-07-27 Balu /​BALASUBRAMANYA Nadiga/**  +
-Your comments/​suggestions on [[http://​ChaosBook.org/​library/​NaLu01.pdf|Global Bifurcation of Shilnikov Type in a Double-Gyre Ocean Model]] by Nadiga and Luce, a paper on homoclinic chaos +
-on the way to turbulence in the simpler setting of the barotropic +
-vorticity eqn. in the context of ocean flows would be very much +
-appreciated.+
  
 +[[literature|click here]]
  
 ===== Plumbers unite! A manifesto ===== ===== Plumbers unite! A manifesto =====
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 [[Taylor-Couette|click here]] [[Taylor-Couette|click here]]
 +
 +===== A baroclinic blog =====
 +
 +[[baroclynic|click here]]
  
 ===== Rėsumė ===== ===== Rėsumė =====
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   }   }
  
-~~DISCUSSION~~+  @Article{KaUhVe12,​ 
 +  AUTHOR = {van Veen, L. and Kawahara, G.}, 
 +  TITLE = {The significance of simple invariant solutions 
 +         in turbulent flows}, 
 +  YEAR = {2012}, 
 +  JOURNAL = {Ann. Rev. Fluid Mech.}, 
 +  VOLUME = {44}, 
 +  PAGES = {203–25} 
 +  } 
 + 
 +  @Article{VeKa11,​ 
 +  AUTHOR = {van Veen, L. and Kawahara, G.}, 
 +  TITLE = {Homoclinic tangle at the edge of shear turbulence},​ 
 +  YEAR = {2011}, 
 +  JOURNAL = {Phys. Rev. Lett.}, 
 +  VOLUME = {107}, 
 +  PAGES = {114501} 
 +  }
  
chaosbook/pdes.1309861519.txt.gz · Last modified: 2011/07/05 03:25 by predrag