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Three-Dimensional Boundary Element Techniques for Moving Boundary Problems

by Gerard P. Lennon, Lehigh Univ, Bethlehem, PA, USA,
Ben L. Du, Lehigh Univ, Bethlehem, PA, USA,



Document Type: Proceeding Paper

Part of: Computing in Civil Engineering

Abstract:

The boundary element method (BEM) is a powerful numerical method well suited for a wide variety of engineering problems. The numerical computations are performed only on the boundary of the three-dimensional solution domain; thus the problem is essentially reduced to two-dimensions. This paper presents the solution to a three-dimensional moving boundary problem in a confined aquifer. Fresh water, overlying a denser fluid, is withdrawn from the quifer causing an 'upconing' or an upwelling of the interface. G. Dagan and J. Bear present a linearized analytical solution for cases of small deflections of the interface. An example is chosen with an existing analytical solution as well as an axisymmetric BEM solution.

Subject Headings: Boundary element method | Numerical methods | Domain boundary | Three-dimensional analysis | Water flow | Mathematics | Linear analysis

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