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Sloshing in a Container Subjected to Sudden Deceleration

In this project, we simulate sloshing in a partially-filled container which represents one of the six compartments of a tanker truck. The driver of the fuel truck suddenly brakes and decelerates at 0.2 g. The flow is assumed to be symmetric with respect to the vertical-central plane. A mesh with 1,250,260 hexahedral elements and 1,284,381 nodes is used in the simulation. To obtain the time-dependent solution for sloshing, at every time step more than 6 million coupled nonlinear equations are solved iteratively. The computations were carried out on a CM-5 with 512 processing nodes. The four pictures below show the sloshing and fluid pressure at different instances. For additional information on sloshing in tanker trucks, see "Dynamic Stability of a Vehicle Carrying Bulk Liquid and Driving Over a Bump".

The mesh generator and flow solver were developed by the T*AFSM.


1. T.J.R. Hughes, T.E. Tezduyar and A.N. Brooks, "Streamline Upwind Formulations for Advection-Diffusion, Navier-Stokes, and First-order Hyperbolic Equations", Proceedings of the Fourth International Conference on Finite Element Methods in Fluid Flow, University of Tokyo Press, Tokyo (1982).

2. T.E. Tezduyar and D.K. Ganjoo, "Petrov-Galerkin Formulations with Weighting Functions Dependent Upon Spatial and Temporal Discretization: Applications to Transient Convection-Diffusion Problems", Computer Methods in Applied Mechanics and Engineering, 59 (1986) 49-71.

3. T.E. Tezduyar and J. Liou, "Adaptive Implicit-Explicit Finite Element Algorithms for Fluid Mechanics Problems", Computer Methods in Applied Mechanics and Engineering, 78 (1990) 165-179.

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

5. T.E. Tezduyar, S. Mittal, S.E. Ray and R. Shih, "Incompressible Flow Computations with Stabilized Bilinear and Linear Equal-order-interpolation Velocity-Pressure Elements", Computer Methods in Applied Mechanics and Engineering, 95 (1992) 221-242.

6. T. Tezduyar, "Advanced Flow Simulation and Modeling", Flow Simulation with the Finite Element Method (in Japanese), Springer-Verlag, Tokyo, Japan (1998).

7. T. Tezduyar, S. Aliabadi and M. Behr, "Parallel Finite Element Computing Methods for Unsteady Flows with Interfaces", Computational Fluid Dynamics Review 1998 (eds. M. Hafez and K. Oshima), World Scientific (1998) 643-667.

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

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