Team for Advanced Flow Simulation and Modeling
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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 In more recent simulations of this class of problems, the CM-5 has been replaced by a CRAY T3E-1200.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.
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.