Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Volume 57, Issue 2, Pages 119-138Publisher
WILEY
DOI: 10.1002/fld.1624
Keywords
free surface flows; interface flows; finite elements; ALE approach; spurious velocities
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An accurate finite element scheme for computing 3D-axisymmetric incompressible free surface and interface flows is proposed. It is based on the arbitrary Lagrangian Eulerian (ALE) approach using free surface/interface-resolved moving meshes. Key features like the surface force, consisting of surface tension and the local curvature, and jumps in the density and viscosity over different fluid phases are precisely incorporated in the finite element formulation. The local curvature is approximated by using the Laplace - Beltrami operator technique combined with a boundary approximation by isoparametric finite elements. Anew approach is used to derive the 3D-axisymmetric form from the variational form in 3D-Cartesian coordinates. Several test examples show the high accuracy and the robustness of the proposed scheme. Copyright (c) 2007 John Wiley & Sons, Ltd.
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