To have smooth animation, Paraview has a TemporalInterpolator which renders intermediate frames by interpolating the solution between time steps.
However, it works only using a constant mesh. If the mesh changes between two time step, then the interpolator fails with this error:
Warning: vtkTemporalInterpolator: Interpolation aborted for points because the number of tuples/components in each time step are different
One solution could be to export the solution on a fixed mesh, but maybe there are other solutions?