Actions for High order finite element method for the calculation of capillary surfaces. [Young--Laplace equation] [electronic resource].

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High order finite element method for the calculation of capillary surfaces. [Young--Laplace equation] [electronic resource].

Published
Minneapolis, Minn. : University of Minnesota. Dept. of Chemical Engineering and Materials Science, 1977.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Additional Creators
University of Minnesota. Department of Chemical Engineering and Materials Science and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
A reduced quadratic finite element method on quadrilaterals is developed for discretizing the capillary equation in regular and irregular domains. Newton's method is used to solve the resulting set of nonlinear equations for the capillary surface. Numerical experiments are conducted for square and elliptical capillaries in order to compare this high-order method to a bilinear finite element-Newton scheme and a finite difference--dynamic alternating direction implicit (DADI) technique. The reduced quadratic finite element method is shown to be the most efficient in these tests due to the relatively coarse element grids that can be used for accurate approximations.
Report Numbers
E 1.99:lbl-7291
lbl-7291
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Note
Published through SciTech Connect.
12/01/1977.
"lbl-7291"
Brown, R.A.
Funding Information
W-7405-ENG-48
View MARC record | catkey: 13829073