## Team for Advanced Flow Simulation and Modeling |

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## Free-Surface Flow Past a CylinderIn this study, we simulate free-surface flow past a circular cylinder standing vertically. The Reynolds number based on upstream velocity and cylinder diameter is 10 million. The upstream Froude number is 0.564. The Deformable-Spatial- Domain/Stabilized Space-Time (DSD/SST) formulation is used with an algebraic mesh update method to solve this problem. The mesh consists of 230,480 triangular-based prism elements and 258,764 space-time nodes. The free surface height is governed with kinematic free-surface condition and solved with, again, a stabilized formulation. The figures below show, at an instant, the cylinder together with the free surface color-coded with the velocity magnitude and side boundary surface color-coded with the fluid pressure. The bow wave in front of the cylinder, the hydraulic jump behind, and the V- shaped waves in the wake are characteristics of this flow problem. The computations were carried out on a CM-5. The mesh generator and flow solver were developed by the T*AFSM
## 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. T. Tezduyar, "Advanced Flow Simulation and Modeling", 5. T. Tezduyar, "CFD Methods for Three-Dimensional Computation of
Complex Flow Problems", 6. I. Guler, M. Behr and T.E. Tezduyar, "Parallel Finite Element
Computation of Free-Surface Flows", 7. T. Tezduyar and Y. Osawa, "Methods for Parallel Computation of
Complex Flow Problems", |