A reference solution for cylindrical waves is obtained by WKB approximation. Finite element representations of both cylindrical and spherical waves satisfy the resolution-dependent plane wave dispersion relation, and approximate the desired decay rates independent of mesh resolution.
Finite-amplitude cylindrical and spherical waves in weakly dispersive media
โ Scribed by A. A. Dorfman; E. N. Pelinovskii; Yu. A. Stepanyants
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1981
- Tongue
- English
- Weight
- 564 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0021-8944
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The propagation of waves in inhomogeneous elastic media with spherical or cylindrical symmetry, when the curved surface of the solid is given a uniform normal loading -the stress and displacement components within the solid then may be assumed to depend on one space coordinate and time alone -, is c
The propagation of spherically diverging acoustic waves of finite amplitude in fresh and sea water is considered. The calculation of the second and third harmonic distortion is obtained from the approximate solution of the non-linear wave equation in a dissipative medium.