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A Spine-Flux Method for Simulating Free Surface Flows

✍ Scribed by F. Mashayek; N. Ashgriz

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
657 KB
Volume
122
Category
Article
ISSN
0021-9991

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✦ Synopsis

A new technique for the advection of liquid domains with free surfaces is developed. This technique is based on describing the liquid surface by a spine function (h(\alpha, t)), with (\alpha) being the angle measured from one axis at time (t). After discretization, the spines (h_{i}\left(\alpha_{i}, t_{i}\right\rangle) subdivide the liquid zone into conical subvolumes. The volume of each of the subvolumes is updated using the local velocities at the interface of every two neighboring subvolumes. A technique is developed to calculate the new spines based on the updated subvolumes. The method is referred to as the spine-flux method (SFM) and it is implemented in a Galerkin finite element method with penalty formulation. The problems of drop oscillation and drop collision are utilized to show the accuracy and efficiency of the technique. 1995 Academic Press, Inc.

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