Proceed to Safety

Gray-Scott Model at F 0.0780, k 0.0590    

These images and movie demonstrate the behavior of the Gray-Scott reaction-diffusion system with σ=Du/Dv=2 and parameters F=0.0780, k=0.0590.

All initial patterns fill the field with solid blue fairly quickly; negative worms are marginally viable, shrinking to nothing rather quickly (an example can be seen at left).

Categories: Pearson B; Wolfram 1      (glossary of terms)

                increase F   


after 879 tu
after 4,395 tu

15 frames/sec.; each fr. is 293 iter. steps = 146.5 tu; 1800 fr. total (263,700 tu)

increase k
after 16,115 tu after 65,925 tu after 263,700 tu
                decrease F   
(Click on any image to magnify)

In these images:

Wavefronts and other moving objects have decreasing u values (brighter color) on the leading edge of the blue part of the moving object, and increasing u (light pastel color) on the trailing edge. This is true even for very slow-moving objects — thus, you can tell from the coloring what direction things are moving in.

''tu'' is the dimensionless unit of time, and ''lu'' the dimensionless unit of length, implicit in the equations that define the reaction-diffusion model. The grids for these simulations use Δx=1/143 lu and Δt=1/2 tu; the system is 3.2 lu wide. The simulation meets itself at the edges (periodic boundary condition); all images tile seamlessly if used as wallpaper.

Go back to Gray-Scott pattern index

Robert Munafo's home pages on AWS    © 1996-2024 Robert P. Munafo.    about    contact
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. Details here.

This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2015 Nov 07. s.27