TAFSM

Team for Advanced Flow Simulation and Modeling



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Tidal Flow in Tokyo Bay

The mesh used in this flow simulation consists of 56,893 elements and 60,210 space-time nodes. The mesh refinement is related to the water depth. A time step size of 60 seconds is chosen, and the total duration is 1,400 time steps, approximating one 24-hour period. At the boundary at the ocean, a diurnal tidal wave is imposed, with an amplitude of 0.5 meters, and a period of 12 hours. The resulting elevation magnified 50,000 times with respect to the horizontal dimensions, at four different instants are shown below. The simulation was performed on a 64-node CM-5 with 256 vector units, and took 8.5 hours of computer time to complete. The mesh generator, flow solver, and flow visualization software (based on Ensight) were developed by the T*AFSM.

Water elevation at t = 15:00 hrs.

Water elevation at t = 18:00 hrs.

Water elevation at t = 21:00 hrs.

Water elevation at t = 24:00 hrs.

References:

1. T.E. Tezduyar and T.J.R. Hughes, "Finite Element Formulations for Convection Dominated Flows with Particular Emphasis on the Compressible Euler Equations", AIAA Paper 83-0125, Proceedings of AIAA 21st Aerospace Sciences Meeting, Reno, Nevada (1983).

2. T.J.R. Hughes and T.E. Tezduyar, "Finite Element Methods for First-order Hyperbolic Systems with Particular Emphasis on the Compressible Euler Equations", Computer Methods in Applied Mechanics and Engineering, 45 (1984) 217-284.

3. G.J. Le Beau and T.E. Tezduyar, "Finite Element Computation of Compressible Flows with the SUPG Formulation", Advances in Finite Element Analysis in Fluid Dynamics (eds. M.N. Dhaubhadel, M.S. Engelman and J.N. Reddy), FED-Vol. 123, ASME, New York (1991) 21-27.

4. G.J. Le Beau and T.E. Tezduyar, "Finite Element Solution of Flow Problems with Mixed-Time Integration", Journal of Engineering Mechanics, 117 (1991) 1311-1330.

5. K. Kashiyama, H. Ito, M. Behr and T.E. Tezduyar, "Three-step Explicit Finite Element Computation of Shallow Water Flows on a Massively Parallel Computer", International Journal for Numerical Methods in Fluids, 21 (1995) 885-900.

6. K. Kashiyama, K. Saitoh, M. Behr and T. Tezduyar, "Parallel Finite Element Methods for Large-Scale Computation of Storm Surges and Tidal Flows", International Journal for Numerical Methods in Fluids, 24 (1997) 1371-1389.