Back to Search
Start Over
Criteria for trapped modes in a cranked channel with fixed and freely floating bodies.
- Source :
-
Zeitschrift für Angewandte Mathematik und Physik (ZAMP) . Oct2014, Vol. 65 Issue 5, p977-1002. 26p. - Publication Year :
- 2014
-
Abstract
- Trapped modes in the linearized water wave problem are localized free oscillations in an unbounded fluid with a free surface. For sometime, it has been known that certain structures, fixed or freely floating, can support such modes. In this paper, we consider the problem on a channel, which consists of a finite part and two cylindrical outlets into infinity. The finite (bounded) part may contain some submerged and/or surface-piercing bodies. Since the ordinary scattering matrix can by no means contribute any information on trapped modes, we introduce the fictitious scattering operator and present a criterion for the existence of trapped modes. The criterion states that the number of trapped modes is the difference of the multiplicities of the eigenvalue 1 of the fictitious scattering operator and the eigenvalue − i of the scattering matrix. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FLOATING bodies
*ARCHIMEDES' principle
*HYDROSTATICS
*EIGENVALUES
*OSCILLATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00442275
- Volume :
- 65
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
- Publication Type :
- Academic Journal
- Accession number :
- 98581727
- Full Text :
- https://doi.org/10.1007/s00033-013-0386-1