Finite element formulation for filling a thin section cavity

Finite element formulation for filling a thin section cavity Presents a quasi three‐dimensional formulation for filling a thin section cavity which is derived under the assumption that no transverse flow occurs in the gap. A no‐slip condition was applied on all surfaces occupied by the fluid and a slip condition on all air‐filled (empty) surfaces. The formulation was developed to analyse the sections which lie in the xy ‐plane or may be oriented arbitrarily in three‐dimensional space. Solves the discretized thickness‐integrated finite element flow equations by using the implicit mixed velocity‐pressure formulation, and uses the volume of fluid (VOF) method to track the free surfaces. Presents numerical examples which confirm the accuracy of the formulation and demonstrate how it can be used to model the filling of planar and three‐dimensional thin section cavities of irregular shape. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat & Fluid Flow Emerald Publishing

Finite element formulation for filling a thin section cavity

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Publisher
Emerald Publishing
Copyright
Copyright © 1997 MCB UP Ltd. All rights reserved.
ISSN
0961-5539
DOI
10.1108/09615539710165822
Publisher site
See Article on Publisher Site

Abstract

Presents a quasi three‐dimensional formulation for filling a thin section cavity which is derived under the assumption that no transverse flow occurs in the gap. A no‐slip condition was applied on all surfaces occupied by the fluid and a slip condition on all air‐filled (empty) surfaces. The formulation was developed to analyse the sections which lie in the xy ‐plane or may be oriented arbitrarily in three‐dimensional space. Solves the discretized thickness‐integrated finite element flow equations by using the implicit mixed velocity‐pressure formulation, and uses the volume of fluid (VOF) method to track the free surfaces. Presents numerical examples which confirm the accuracy of the formulation and demonstrate how it can be used to model the filling of planar and three‐dimensional thin section cavities of irregular shape.

Journal

International Journal of Numerical Methods for Heat & Fluid FlowEmerald Publishing

Published: Jun 1, 1997

Keywords: Finite element; Fluid flow; Thin section cavity; Three‐dimensional problems

References

  • A Taylor‐Galerkin method for convective transport problems
    Donea, J.
  • Use of pseudo‐concentrations to follow creeping viscous flows during transient analysis
    Thompson, E.
  • A finite element model for the simulation of mould filling in metal casting and the associated heat transfer
    Usmani, A.S.; Cross, J.T.; Lewis, R.W.

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