TAFSM

Team for Advanced Flow Simulation and Modeling



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  tezduyar@gmail.com

3D Simulation of 1000 Spheres Falling in a Liquid-Filled Tube

                       

Fluid-Object Interactions is one of the "Targeted Challenges" for the T*AFSM. Research for this class of extremely challenging simulations is a cultivating ground for new methods in general. The core method for these simulations is a stabilized space-time formulation developed earlier by the T*AFSM for flow problems with moving boundaries and interfaces. The methods layered around this include: an efficient distributed-memory implementation of the formulation; fast automatic mesh generation; a mesh update method based on automatic mesh moving with remeshing only as needed; an efficient method for projecting the solution after each remesh; and multi-platform (heterogeneous) computing and simulation control environment. Here, while mesh partitioning, flow computations, and mesh movements were performed on a 512-node Thinking Machines CM-5, automatic mesh generation and projection of the solution were accomplished on a 2-processor SGI ONYX2. The two systems communicated over a high-speed network as often as the computation required remeshing. In more recent simulations of this class of problems, the CM-5 has been replaced by a CRAY T3E-1200. The figures show the spheres at four different instants during the simulation. The colors are for identification purpose only.

References:

1. T.E. Tezduyar, "Stabilized Finite Element Formulations for Incompressible Flow Computations", Advances in Applied Mechanics, 28 (1991) 1-44.

2. T.E. Tezduyar, M. Behr and J. Liou, "A New Strategy for Finite Element Computations Involving Moving Boundaries and Interfaces--The DSD/ST 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 DSD/ST 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. A.A. Johnson and T.E. Tezduyar, "Simulation of Multiple Spheres Falling in a Liquid-Filled Tube", Computer Methods in Applied Mechanics and Engineering, 134 (1996) 351-373.

5. A.A. Johnson and T.E. Tezduyar, "3D Simulation of Fluid-Particle Interactions with the Number of Particles Reaching 100", Computer Methods in Applied Mechanics and Engineering, 145 (1997) 301-321.

6. T. Tezduyar, "CFD Methods for Three-Dimensional Computation of Complex Flow Problems", Journal of Wind Engineering and Industrial Aerodynamics, 81 (1999) 97-116.

7. A. Johnson and T. Tezduyar, "Advanced Mesh Generation and Update Methods for 3D Flow Simulations", Computational Mechanics, 23 (1999) 130-143.

8. T. Tezduyar and Y. Osawa, "Methods for Parallel Computation of Complex Flow Problems", Parallel Computing, 25 (1999) 2039-2066.

9. A. Johnson and T. Tezduyar, "Methods for 3D Computation of Fluid-Object Interactions in Spatially-Periodic Flows", Computer Methods in Applied Mechanics and Engineering, 190 (2001) 3201-3221.