The boundary contour method for two-dimensional Stokes flow and incompressible elastic materials |
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Authors: | A-V Phan L J Gray T Kaplan T-N Phan |
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Affiliation: | (1) Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6367, USA e-mail: phana@ornl.gov, US;(2) Department of Computer Science, University of Tennessee, Knoxville, TN 37996, USA, US |
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Abstract: | A variant of the boundary element method, called the boundary contour method (BCM), offers a further reduction in dimensionality.
Consequently, boundary contour analysis of two-dimensional (2-D) problems does not require any numerical integration at all.
While the method has enjoyed many successful applications in linear elasticity, the above advantage has not been exploited
for Stokes flow problems and incompressible media. In order to extend the BCM to these materials, this paper presents a development
of the method based on the equations of Stokes flow and its 2-D kernel tensors. Potential functions are derived for quadratic
boundary elements. Numerical solutions for some well-known examples are compared with the analytical ones to validate the
development.
Received 28 August 2001 / Accepted 15 January 2002 |
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Keywords: | Boundary contour method Boundary element method Stokes flow Incompressible materials |
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