Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4644954 | Applied Numerical Mathematics | 2015 | 8 Pages |
Abstract
We investigate linear wave propagation in non-uniform medium under the influence of gravity. Unlike the case of constant properties medium here the linearized Euler equations do not admit a plane-wave solution. Instead, we find a “pseudo-plane-wave”. Also, there is no dispersion relation in the usual sense. We derive explicit analytic solutions (both for acoustic and vorticity waves) which, in turn, provide some insights into wave propagation in the non-uniform case.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
S. Abarbanel, A. Ditkowski,