gtspring2009:research_projects:gibson:blog
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gtspring2009:research_projects:gibson:blog [2009/01/07 13:09] gibson |
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| ===== Basis sets ===== | ===== Basis sets ===== | ||
| - | 2008-12-30 through 1009-01-06 | + | 2008-12-30 through 2009-01-06 |
| I have been dissatisfied for quite a while with the projection basis sets I've used for plotting periodic orbits in the HKW cell. We don't have good equilibria there, so we can't easily do the translational-basis set we used for the narrow cell in the JFM08 paper. I have previously used a POD basis from the data of a single periodic orbit (P87p89). The plots were good, in that they showed turbulent trajectories lying in the same regions of state space as the periodic orbits, and forming similar pretty-well-defined shapes in whatever projection we looked at. But Predrag never liked this since it involved POD and averages, and to me, it was rhetorically weak to use a basis based on periodic orbits to argue that the periodic orbits live where turbulence is. | I have been dissatisfied for quite a while with the projection basis sets I've used for plotting periodic orbits in the HKW cell. We don't have good equilibria there, so we can't easily do the translational-basis set we used for the narrow cell in the JFM08 paper. I have previously used a POD basis from the data of a single periodic orbit (P87p89). The plots were good, in that they showed turbulent trajectories lying in the same regions of state space as the periodic orbits, and forming similar pretty-well-defined shapes in whatever projection we looked at. But Predrag never liked this since it involved POD and averages, and to me, it was rhetorically weak to use a basis based on periodic orbits to argue that the periodic orbits live where turbulence is. | ||
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| {{pod_e1e4.png?250}}{{p87pod_e1e3.png?250}} | {{pod_e1e4.png?250}}{{p87pod_e1e3.png?250}} | ||
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| + | ====== Playground ====== | ||
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| + | This area is for testing embedded movies in blogs, particularly the namespace issues. | ||
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gtspring2009/research_projects/gibson/blog.1231362554.txt.gz ยท Last modified: 2009/01/07 13:09 by gibson
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