Instabilities and spatio-temporal chaos of long-wave hexagon patterns in rotating Marangoni convection

Chaos

Volumn 12, Issue 3, 2002, Pages 706-718

  Mancho, Ana María ^a   Riecke, Hermann ^b   Sain, Fil ^b  

^a CENTRO DE ASTROBIOLOGÍA CSIC INTA   (Spain)

^b Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036710142     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1502585     Document Type: Article

References (53)

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47. + hexagons are unstable.
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49. Even though the numerical time-stepping routine may lead to a blow-up, no change in the behavior of the stationary states as determined with the Galerkin code was found for the same parameters. Apparently, in these cases the Fourier representation of the derivatives in the time-stepping code does not provide sufficient numerical dissipation, By introducing an artificial dissipation term these divergencies can be avoided. To obtain sufficiently smooth starting solutions we have at times used a filter that effects only wave numbers above a certain high wave number and corresponds then to a linear 8th-order derivative term. However, all the simulations presented in this paper have been performed with that tilter turned off.
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53. X=48. This document may be retrieved via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html) or from ftp.aip.org in the directory /epaps/. See the EPAPS homepage for more information.