You can do this with some of the animation controls.
Let’s say you add a Sphere source. It’s name in the Pipeline Browser will be “Sphere1”. Open up the Animation View. In the popup menu to the right of the blue plus sign, select, “Python”, then click the plus sign. In the track to the right of the new animation trick, double-click your mouse. In the “Edit Python Animation Track” dialog that appears, enter this script:
from paraview.simple import *
def start_cue(self): pass
def tick(self):
tk = GetTimeKeeper()
t = tk.Time
center = [t, 0, 0]
s = FindSource('Sphere1')
s.Center = center
def end_cue(self): pass
This will move the sphere along the x-axis according to ParaView’s current time.