Rayleigh-Benard Convection

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Goal of Pattern Formation• Determine if diverse patterns can be understood using reducedequations based on the underlying symmetries.
Stability DiagramFor <strong>Rayleigh</strong>-Bénard <strong>Convection</strong>Temperature Differencespiralchaosstripes(convection)domainchaosno pattern(conduction)Rotation RateSpatiotemporal chaos: chaotic in space and time
Page 2: What is pattern formation?• Many
Page 6 and 7: Examples from the laboratory• Bel
Page 8 and 9: Examples from the laboratory• Bel
Page 11: Rayleigh-Bénard Convectionphotos c
Page 15 and 16: Domain ChaosSupercomputer solutions
Page 17 and 18: Domain chaosParameters are exactly
Page 19 and 20: Centrifugal Force cannot be neglect
Page 21 and 22: Other work-Lyapunov Exponents• Ch
Page 23 and 24: Visualization of temperature fieldc
Page 25 and 26: Visualization of temperature pertur
Page 27 and 28: Future work• Short Term- Incorpor

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