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**EDICT for 3D computation of two-fluid interfaces.**
*(English)*
Zbl 0995.76052

Summary: We present three-dimensional implementations and applications of an enhanced-discretization interface-capturing technique (EDICT) in computation of unsteady flows with two-fluid interfaces. In such computations, EDICT can be used as a very effective method, which combines the flexibility and efficiency of interface-capturing techniques with the accuracy provided by enhanced discretization at the interfaces. A stabilized finite element interface-capturing technique is used as the base formulation to solve, over a typically nonmoving mesh, the Navier-Stokes equations and an advection equation governing the interface function. To increase the accuracy in modeling the interfaces, we use finite element functions with multiple components at and near the interfaces, with each component coming from a different level of mesh refinement. With its parallel implementation on advanced high-performance computing platforms such as the CRAY T3E, EDICT is a powerful tool for the simulation of a complex three-dimensional unsteady flow problems with two fluid-interface, including free surfaces.

### MSC:

76M10 | Finite element methods applied to problems in fluid mechanics |

76D50 | Stratification effects in viscous fluids |

65Y05 | Parallel numerical computation |

76D05 | Navier-Stokes equations for incompressible viscous fluids |

### Keywords:

enhanced-discretization interface-capturing technique; two-fluid interfaces; stabilized finite element interface-capturing technique; Navier-Stokes equations; advection equation; parallel implementation; CRAY T3E
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\textit{T. E. Tezduyar} and \textit{S. Aliabadi}, Comput. Methods Appl. Mech. Eng. 190, No. 3--4, 403--410 (2000; Zbl 0995.76052)

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### References:

[1] | T.E. Tezduyar, S. Aliabadi, M. Behr, enhanced-discretization interface-capturing technique, in: Y. Matsumoto, A. Prosperetti (Eds.), Proceedings of the ISAC ’97 High Performance Computing on Multiphase Flows, vol. 1-6, Japan Society of Mechanical Engineers, 1997 · Zbl 0961.76046 |

[2] | T.E. Tezduyar, S. Aliabadi, M. Behr, Parallel finite element computing methods for unsteady flows with interfaces, in: M. Hafez, K. Oshima (Eds.), Computational Fluid Dynamics Review 1998, World Scientific, 1998, pp.643-667 |

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[7] | Tezduyar, T.E., Stabilized finite element formulations for incompressible flow computations, Advances in applied mechanics, 28, 1-44, (1991) · Zbl 0747.76069 |

[8] | S. Aliabadi, T.E. Tezduyar, Stabilized-finite-element/interface-capturing technique for parallel computation of unsteady flows with interfaces, Computer Methods in Applied Mechanics and Engineering 190 (2000) 243-261 · Zbl 0994.76050 |

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