I want to model the development of biofilm in a perfusion culture. I model the cell culture chamber as a 2D transport of diluted species. I therefore want an initial concentration in the cell culture chamber to be random or non-homogenous. I have tried using the random function which is good but it fluctuates too much over small distances (too many peaks in small area). I alternatively tried to add a sinecurve multiplied by the initial concentration of cells, but with no avail. Is there a way to achieve non-homogenous initial condition which is smoother than what the random function can achieve? I know i can define spots around the cell chamber manually and apply an initial condition to these independently, but i shope for a better solution.
I have included an image of the initial cell concentration using the random function.