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Computer Animation of a Fluid-filled Deformable Tube

In the Spring 2005 semester, students taking ME 322-Computer Methods in Engineering were assigned a problem involving the unsteady flow of an incompressible fluid in a collapsible tube. Its solution required implementation of a number of numerical techniques taught in the course, including the numerical solution of a system of non-linear, coupled partial differential equations by an implicit finite differencing scheme, the solution of sparse systems of linear algebraic equations, and curve fitting of material properties from experimental data. The class was divided into five groups, with four or five students per group, and each group was required to write a subprogram to perform a subtask of the problem. The final product was a computer animation showing the deformation of the tube and the local fluid velocity distribution.
  • Description of the problem  (PDF)


  • movieAC.avi - animation showing collapse of the tube as fluid is withdrawn from the left end with the right end of the tube closed.


  • movieUC.avi - animation showing the fluid velocity distribution within the tube as fluid is withdrawn from the left end with the right end of the tube closed.


  • movieAO.avi - animation showing change in area of the tube as fluid is withdrawn from the left end with the right end of the tube open.


  • movieUO.avi - animation showing the velocity distribution within the tube as fluid is withdrawn from the left end with the right end of the tube open.