## Team for Advanced Flow Simulation and Modeling |

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## Tidal Flow in Tokyo BayThe 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, 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", 3. G.J. Le Beau and T.E. Tezduyar, "Finite Element Computation of
Compressible Flows with the SUPG Formulation", 4. G.J. Le Beau and T.E. Tezduyar, "Finite Element Solution of Flow
Problems with Mixed-Time Integration", 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", 6. K. Kashiyama, K. Saitoh, M. Behr and T. Tezduyar, "Parallel Finite
Element Methods for Large-Scale Computation of Storm Surges and Tidal
Flows", |