## Team for Advanced Flow Simulation and Modeling |

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## Flow Around a SubmarineIn this problem we simulate flow around a Los Angeles-class submarine. We use a stabilized finite element method together with an unstructured mesh to solve this problem. The images below on the left appeared on the cover page of the Slide Book of the ARPA High Performance Computing Software PI Meeting, San Diego, California, September 27-29, 1993. The top image shows the streamlines and the pressure distribution on the surface of the submarines, while the bottom image shows the stream ribbons color-coded with the axial velocity.The Reynolds number based on the free-stream velocity and the hull length is one billion. A Smagorinsky turbulence model was used in this unsteady computation, which was restarted from a steady-state solution at Reynolds number one million. We employed a spatial mesh consisting of 71,035 nodes and 345,129 tetrahedral elements. This resulted in 466,688 coupled equations that were solved iteratively. A similar simulation was performed later at higher resolution. The flow solver and flow visualization software (based on Visual3 library) were developed by the T*AFSM. The flow simulation for the submarine is part of an effort by the T*AFSM researchers, partially funded by the Advanced Research Projects Agency, for the development of scalable libraries for fluid mechanics applications. ## References: 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", 2. T.E. Tezduyar, "Stabilized Finite Element Formulations for
Incompressible Flow Computations", 3. T.E. Tezduyar, M. Behr and T.J.R. Hughes, "High Performance Finite
Element Computation of Fluid Dynamics Problems", 4. T.E. Tezduyar, M. Behr and T.J.R. Hughes, "Finite Element
Methods", Section 19.3 in |