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Proceedings Paper

Numerical wavefront propagation through inhomogeneous media
Author(s): Gholam-Ali Zakeri
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Paper Abstract

An efficient simple numerical procedure is used to produce the motion of shockfront with small amplitude through inhomogeneous media. The mathematical model uses an intrinsic coordinate system and is based on Whitham's (1974) theory of geometrical shock dynamics. By using this model, the motion of the wavefront can be determined without explicitly calculating the flowfield quantities behind the wavefront. The model is given by a system of four partial differential equations (PDEs) which for small amplitude wavefront does not produce caustic in the wavefront. The small variations in sound speed and the corresponding distortion of the rays due to nonlinearity are included in the system of PDEs. Rays are given as the orthogonal trajectories to the wavefront and, because of the nonlinearity effects of the media, rays are not straight lines. We represent the wavefront by a discrete set of points, and then we propagate each point along orthogonal trajectories with sound speed determined by a discretized set of two PDEs relating Mach number and area of the ray tube. The numerical results obtained using the above procedure is compared with exact numerical solutions and experimental data given by other authors.

Paper Details

Date Published: 11 November 1991
PDF: 10 pages
Proc. SPIE 1558, Wave Propagation and Scattering in Varied Media II, (11 November 1991); doi: 10.1117/12.49616
Show Author Affiliations
Gholam-Ali Zakeri, California State Univ./Northridge (United States)

Published in SPIE Proceedings Vol. 1558:
Wave Propagation and Scattering in Varied Media II
Vijay K. Varadan, Editor(s)

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