Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Efficient modeling of dispersive wave propagation in unbounded domains

M.A. Zahid, M.N. Guddati*
Department of Civil Engineering, North Carolina State University, Raleigh, NC 27695, USA

  Full Text
Continued fraction absorbing boundary conditions (CFABC) are artificial boundary conditions that can be used for modeling wave absorption into an unbounded exterior. In this paper, CFABC are extended to modeling wave propagation in dispersive media. While the original CFABC are effective only for propagating waves, the proposed extension is effective also for evanescent waves that could be predominant in dispersive media. The main idea is to augment the original CFABC with a special padding region that would act as an effective boundary condition for evanescent waves. Presented here is the basic idea behind the extension, summary of various issues that were resolved during the development, and a numerical example illustrating the effectiveness of the proposed approach.

Keywords:  Absorbing boundary conditions; Dispersive waves; Finite element methods

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