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Finite element analysis of the transient motion of stratified viscous fluids under gravity

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Abstract

The present paper deals with the finite element analysis of two-dimensional two-layer density flows in a gravitational field. A fluid in each layer is replaced with a large number of discrete particles, and the motion and deformation of each layer is represented by moving those particles in a Lagrangian manner. The velocity distribution in the whole fluid region is given as the finite element solution of the Navier-Stokes equations and the equation of continuity. In the finite element calculation, free-slip conditions are used on solid wall boundaries because no-slip conditions may cause sticking of some particles to walls. Then, a new technique for the implementation of free-slip conditions on arbitrary curved boundaries is presented. As numerical examples, density flows in a rectangular closed container and Rayleigh-Taylor instability in the container with a circular cross-section have been computed.

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Authors and Affiliations

  1. Department of Precision Mechanical Engineering, Chuo University, 13-27, Kasuga 1-chome, Bunkyo-ku, 112, Tokyo, Japan

    Tsukasa Nakayama

  2. Quint Co., 21-4, Fuchu-cho 2-chome, 183, Fuchu-shi, Tokyo, Japan

    Hideo Yazaki

Authors
  1. Tsukasa Nakayama
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  2. Hideo Yazaki
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Communicated by S. N. Atluri, September 11, 1992

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Nakayama, T., Yazaki, H. Finite element analysis of the transient motion of stratified viscous fluids under gravity. Computational Mechanics 12, 123–133 (1993). https://doi.org/10.1007/BF00371988

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  • DOI: https://doi.org/10.1007/BF00371988

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