Hi everyone, I’m pretty new to fenics. I’ve been using fenics for 1d heat diffusion from one material into another. However, I also want the entire mesh to shrink in size with time, but I have no idea how to approach this problem. I’m not getting any errors because I don’t even know where to start …

Thank you! Is ALE.move something I can implement independent of my heat equation? Or do I have to incorporate a new displacement term in my variational form?

The most mathematically correct thing would be to incorporate u in your variational form

I’ve been working on this problem a bit, but I still can’t quite grasp how I can incorporate the displacement into my variational form

Heat diffusion with a mesh that changes size

mesh

dokken June 24, 2022, 2:48pm 2

You can use ALE.move, see; How to translate a 2D mesh by a vector? - #2 by kamensky

Topic		Replies	Views
How to use ALE for moving boundary problems? mesh	10	3739	February 26, 2025
Mesh moving / ALE in DOLFINx — example or official API General mesh , dolfinx	12	414	November 23, 2025
Moving submesh diverges from its designated trajectory in a two-phase problem General	5	255	January 22, 2025
How to set a dynamic domain?	2	713	April 28, 2020
Several questions about ALE.move	4	2380	April 1, 2019

Heat diffusion with a mesh that changes size

Related topics