Stokes flow in an elastic tube—a large-displacement fluid-structure interaction problem
✍ Scribed by Matthias Heil
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 367 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
Viscous flow in elastic (collapsible) tubes is a large-displacement fluid-structure interaction problem frequently encountered in biomechanics. This paper presents a robust and rapidly converging procedure for the solution of the steady three-dimensional Stokes equations, coupled to the geometrically non-linear shell equations which describe the large deformations of the tube wall. The fluid and solid equations are coupled in a segregated method whose slow convergence is accelerated by an extrapolation procedure based on the scheme's asymptotic convergence behaviour. A displacement control technique is developed to handle the system's snap-through behaviour. Finally, results for the tube's post-buckling deformation and for the flow in the strongly collapsed tube are shown.