chaosbook:pdes
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chaosbook:pdes [2010/02/02 07:55] 127.0.0.1 external edit |
chaosbook:pdes [2012/04/13 08:16] predrag |
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| {{gtspring2009:pc.jpg}} | {{gtspring2009:pc.jpg}} | ||
| - | ===== Blog ===== | + | ===== A literature blog ===== |
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| + | [[literature|click here]] | ||
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| + | **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 | ||
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| + | {{:chaosbook:2torus.jpg|}} | ||
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| + | 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, | **2009-11-25 Humbledt Plumber to Benny Lautrup:** methinks, | ||
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| [[Taylor-Couette|click here]] | [[Taylor-Couette|click here]] | ||
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| + | ===== A baroclinic blog ===== | ||
| + | |||
| + | [[baroclynic|click here]] | ||
| ===== Rėsumė ===== | ===== Rėsumė ===== | ||
| Line 93: | Line 108: | ||
| } | } | ||
| - | ~~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.txt · Last modified: 2012/04/13 08:20 by predrag
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