Hybrid Numerical Scheme for Time-Evolving
Wave Fields.
Authors
G. N. Lilis, A. Halder, S. Telukunta, S. D. Servetto.
Status
International Journal for Numerical Methods in Engineering;
to appear (accepted, August 2006).
Abstract
Many problems in geophysics, acoustics, elasticity theory, cancer
treatment, food process control and electrodynamics involve study of
wave field synthesis in some form or another. In the present work,
the modeling of wave propagation phenomena is studied as a static
problem, using Finite Element Methods and treating time as an additional
spatial dimension. It is shown that a fully finite element based scheme
is a very natural and effective method for the solution of such problems.
Distributed wave field synthesis in the context of two-dimensional
problems is outlined and incorporation of any geometric or material
non-linearities is shown to be straightforward. This has significant
implications for problems in geophysics or biological media where
material inhomogeneities are quite prevalent. Numerical results are
presented for several problems referring to media with material
inhomogeneities and predefined absorption profiles. The method can
be extended to three dimensional problems involving anisotropic medium
properties in a relatively straightforward manner.
G. N. Lilis, S. Telukunta, S. D. Servetto.
Inverse Acoustic Wave Field Synthesis.
In the Proceedings of the 17th International Symposium on Nonlinear
Acoustics, State College, PA, July 2005.