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Team for Advanced Flow Simulation and Modeling



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FSI with Contact: A Cloth Piece Falling Over a Rigid Bar

A piece of cloth is dropped over a rigid bar. The computational challenges addressed in this problem include fluid-structure interaction between the cloth and surrounding fluid, contact between the cloth and rigid bar, and stabilizing the structure at the edges of the membrane used in modeling the cloth.

The numerical methods used in this computation were introduced and implemented on parallel computing platforms by the T*AFSM. The set of numerical methods introduced by the T*AFSM over the years and used in this computation includes the DSD/SST formulation [1-4], the quasi-direct FSI method [5, 6], the stabilized space-time FSI (SSTFSI) technique [7], and a number of special FSI techniques [7, 8]. Among the special FSI techniques used in the computation are using split nodal values for pressure at the edges of the fabric to stabilize the structure at those edges (see [7]) and the Surface-Edge-Node Contact Tracking (SENCT) technique (see [7, 8]). The computation was carried out on the ADA system at Rice University. For more details on this computation, see [7, 8].



Fig. 1. The cloth piece at various instants. For details, see [7, 8].


Fig. 2. The flow field at various instants. For details, see [7, 8].

References

1. T.E. Tezduyar, "Stabilized Finite Element Formulations for Incompressible Flow Computations", Advances in Applied Mechanics, 28 (1992) 1-44.

2. T.E. Tezduyar, M. Behr and J. Liou, "A New Strategy for Finite Element Computations Involving Moving Boundaries and Interfaces -- The Deforming-Spatial-Domain/Space-Time Procedure: I. The Concept and the Preliminary Numerical Tests", Computer Methods in Applied Mechanics and Engineering, 94 (1992) 339-351.

3. T.E. Tezduyar, M. Behr, S. Mittal and J. Liou, "A New Strategy for Finite Element Computations Involving Moving Boundaries and Interfaces -- The Deforming-Spatial-Domain/Space-Time Procedure: II. Computation of Free-surface Flows, Two-liquid Flows, and Flows with Drifting Cylinders", Computer Methods in Applied Mechanics and Engineering, 94 (1992) 353-371.

4. T.E. Tezduyar, "Computation of Moving Boundaries and Interfaces and Stabilization Parameters", International Journal for Numerical Methods in Fluids, 43 (2003) 555-575.

5. T.E. Tezduyar, S. Sathe, R. Keedy and K. Stein, "Space-Time Techniques for Finite Element Computation of Flows with Moving Boundaries and Interfaces", Proceedings of the III International Congress on Numerical Methods in Engineering and Applied Sciences, Monterrey, Mexico, CD-ROM (2004).

6. T.E. Tezduyar, S. Sathe, R. Keedy and K. Stein, "Space-Time Finite Element Techniques for Computation of Fluid-Structure Interactions", Computer Methods in Applied Mechanics and Engineering, 195 (2006) 2002-2027.

7. T.E. Tezduyar and S. Sathe, "Modeling of Fluid-Structure Interactions with the Space-Time Finite Elements: Solution Techniques", International Journal for Numerical Methods in Fluids, 54 (2007) 855-900.

8. S. Sathe and T.E. Tezduyar, "Modeling of Fluid-Structure Interactions with the Space-Time Finite Elements: Contact Problems", Computational Mechanics, 43 (2008) 51-60.