Rayleigh-Benard Convection
Rayleigh-Benard Convection Rayleigh-Benard Convection
Goal of Pattern Formation• Determine if diverse patterns can be understood using reducedequations based on the underlying symmetries.
Stability DiagramFor Rayleigh-Bénard ConvectionTemperature 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
Goal of Pattern Formation• Determine if diverse patterns can be understood using reducedequations based on the underlying symmetries.