Kalex - I too have had diverticulitis maybe 10 years. I have had many many embarrassing accidents - absolutely horrible. It is true, however, that after eating food whether be it light, heavy, greasy etc you will need to go to the toilet.
But, I don't know the answer to it - I haven't had an accident for the past 3 months - in fact a little bit of constipation which I can cope with. I am stumped why it has stopped cos I am still eating the same way.