A numerical study to the 2D collapsible channel flow with Finte Element Method.

Haofei Liu

Friday 5th December, 2008 14:30-15:30 Mathematics Building, room 516


We investigate the influences of modelling assumptions on the dynamic behaviour of the collapsible channel flows. The elastic wall is modeled in various different ways: as a large strain Bernoulli-Euler beam, a small strain Timoshenko beam, and a 2D solid model derived from a general virtual work approach, using small strain or large strain assumptions. Different inlet boundary conditions are also considered. The in-house finite element codes and the commercial finite element package ADINA 8.4 are used. The steady results agree very well when using the different models/approaches. The unsteady results, on the other hand, can be quite different. The dynamic behaviour of the system is analyzed for a set of chosen parameters, using the full numerical solvers, the linear stability analysis, and the Fourier transform. It is found that the system stability is highly sensitive to the modelling assumptions such as the solid modelling assumptions used, numerical solvers adopted, or the boundary conditions imposed. Accuracy of the numerical schemes also has an impact on the system’s unsteady behaviour. However, despite the high sensitivity of the unsteady solutions to the modelling assumptions, a cascade stability structure previously revealed by the authors seems to exist when different numerical approaches are used.

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