This paper compares the performances of three numerical approaches (Lagrangian, ALE and control volume) for modelling large and rapid compressions applied to a short cylindrical pipe representing a portion of the intestines. While not being able to simulate sustained fluid flow, the Lagrangian approach provided similar results as the ALE for moderate levels of compression. However, it was the stiffest approach for larger compression levels, and had numerical issues for extreme compressions. While the ALE did not have these issues, its computing cost was very high, which could be problematic for large models. The control volume approach had the lowest computing cost and seemed promising for larger compressions. However, its response was the softest and further investigations are needed to define its dependency to modelling parameters.