## Team for Advanced Flow Simulation and Modeling |

For more information: |
## 3D Simulation of 1000 Spheres Falling in a Liquid-Filled TubeFluid-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 In more recent simulations of this class of problems, the CM-5 has been replaced by a CRAY T3E-1200.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", 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", 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",
4. A.A. Johnson and T.E. Tezduyar, "Simulation of Multiple
Spheres Falling in a Liquid-Filled Tube", 5. A.A. Johnson and T.E. Tezduyar, "3D Simulation of
Fluid-Particle Interactions with the Number of Particles Reaching
100", 6. T. Tezduyar, "CFD Methods for Three-Dimensional Computation
of Complex Flow Problems", 7. A. Johnson and T. Tezduyar, "Advanced Mesh Generation and
Update Methods for 3D Flow Simulations", 8. T. Tezduyar and Y. Osawa, "Methods for Parallel Computation
of Complex Flow Problems", 9. A. Johnson and T.
Tezduyar, "Methods for 3D Computation of Fluid-Object Interactions in
Spatially-Periodic Flows", |