We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On Short-Wave Diffraction by an Elongated Body. Numerical Experiments.
- Authors
Kirpichnikova, N.; Popov, M.; Semtchenok, N.
- Abstract
The paper is a continuation of previous papers of the authors dealing with the exploration of shortwave diffraction by smooth and strictly convex bodies of revolution (the axisymmetric case). In these problems, the boundary layer method contains two large parameters: one is the Fock parameter M and the second is Λ that characterizes the oblongness of the scatterer. This naturally gives the possibility of using the two-scaled asymptotic expansion, where both M and Λ are regarded as independent. The approximate formulas for the wave field in this situation depend on the mutual strength between the large parameters and may vary. In the paper, we carry out numerical experiments with our formulas, in the case where the Fock analytical solution is in good coincidence with the exact solution of a model problem, in order to examine the influence of the parameter Λ on the wave field. It follows from our numerical experiments that the influence of the oblongness of the scatterer on the wave field is really insignificant if the method of Leontovich-Fock parabolic equation does not meet mathematical difficulties.
- Subjects
WAVE diffraction; NUMERICAL analysis; CONTINUATION methods; REVOLUTIONS (Descriptive geometry); BOUNDARY layer (Aerodynamics); ASYMPTOTES; PARABOLIC differential equations
- Publication
Journal of Mathematical Sciences, 2017, Vol 226, Issue 6, p734
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-017-3563-5