Solid boundary pullout and dynamic meshing
 

Dear All,
I am looking for studying the movement of a solid wall out of a flow domain. I am wondering if there is any way to implement this in OpenFOAM without dynamic meshing. Unfortunately, I use twoLiquidMixingFoam multiphase solver that does not have the dynamic mesh feature. I had several attempts to incorporate it, but I was not lucky enough!
I would appreciate your assistance either to find a way around dynamic meshing or to add this feature to the solver.
Thanks.

Dear all,
I would greatly appreciate any assistance. Thanks