The time-averaged patterns of spatiotemporal chaos of Kuramoto-Sivashinsky equation were numerically studied. The equation was found to have fixed boundary conditions with a variable parameter (U). The averaged pattern was nearly zero if U was smaller than a critical value. If U was larger than a critical value, stationary shock patterns with oscillating tails appeared due to absolute stability between the critical values. The time averaged pattern was approximated with shock solution of Burgers equation and effective diffusion constant was calculated. The relation of width and height of shock structures was used in this estimation.
|Number of pages
|Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|Published - Dec 2000
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics