# How to simulate some particles or points moving with a fluid flow and how to make a plane that intersects with a scalar valued function

I want some particles to move with my vector field i graphed , can't I do this ?? I want to make a yz plane at some constant value of y and wand this plane to intersect with f(x,y) scalar valued function . can i make the intersection line red ?

in the DE interacts wiki there are several examples for how to construct and plot a vector field + a bunch of solutions. for the "motion" part you could try the animate module.

Can you give me some examples?

if you want examples which do not use interact, check Gregory Bard's book,

Sage for undergraduates-- in particular page 114, "Vector field plots". you may want to add a minimal working (or not) code snippet with your use case. yes, those operations can be done in Sage :)Did you understand my questions ? they are two separate questions. the intersection is a question and the flow is a question as well

yes, i think that with the information you've provided, those links are relevant, but maybe i'm wrong.