Finite-element method for time-dependent incompressible free surface flow

Frederiksen C.S. and Watts A.M. (1981) Finite-element method for time-dependent incompressible free surface flow. Journal of Computational Physics, 39 2: 282-304. doi:10.1016/0021-9991(81)90153-4

Author Frederiksen C.S.
Watts A.M.
Title Finite-element method for time-dependent incompressible free surface flow
Journal name Journal of Computational Physics
ISSN 1090-2716
Publication date 1981-01-01
Sub-type Article (original research)
DOI 10.1016/0021-9991(81)90153-4
Volume 39
Issue 2
Start page 282
End page 304
Total pages 23
Subject 1706 Computer Science Applications
3100 Physics and Astronomy
Abstract We present a finite-element method for time-dependent incompressible free surface fluid flow problems described by the Navier-Stokes equations. The elements chosen have dimensions in both space and time, and the resulting system of equations is block-tridiagonal and lends itself to solution by standard techniques. In the present article we restrict our attention to two-dimensional problems although three-dimensional problems may be solved by a straightforward generalization. The method is essentially an implicit time stepping technique and therefore stable even for relatively large time steps. With this choice of elements, the method is completely adaptive to the changing nature of the solution. An iterative procedure is used to find the position of the free surface; this procedure is found to be rapidly convergent determining accurately the shape of the free surface within a few iterations. Numerical results are given for the problem of entrainment of fluid by a vertically moving plate, which has applications to the chemical engineering problems of the free coating of metals. We also consider the problem of circulation flow in a rectangular channel.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
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Citation counts: TR Web of Science Citation Count  Cited 50 times in Thomson Reuters Web of Science Article | Citations
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