Moving grid for extrusion process

I am putting into MATLAB code the equations that describe a plastic extrusion process. From a past paper, I found I should use a spatial grid that translates with the extrusion speed, being the reference coordinate system the centerline of the extrudate. In particular, s = 0 is the extruder die and the length of the domain is time dependent as the extrudate gets longer and longer. In the paper, new grid points are continually added to the solution domain at s = 0 (the extruder die) to account for the extrusion of fresh fluid. How would I do this? Thank you.

[KSSV]

A pictorial example or a video with what data you have in hand will help us to help you.

[Andrea Roberto Calore]

I have ODEs describing the shape of a filament being printed with a fused deposition modelling printer as the table moves, while bridging a gap as can be seen in the image attached. I am using the finite difference method to discretize in time (as the filament cools down) and space (the filament shape and forces involved, in lagrangian coordinates). As new material is continuously extruded, new mesh points should be added at the print head side while the other boundary (the table) moves (with known velocity).

I do not know how to code the last point.

[ABHISHEK KUMAR]

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