Reflection of Obliquely Incident Solitary Waves
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- Funakoshi Mitsuaki
- Research Institute for Applied Mechanics, Kyushu University
Bibliographic Information
- Other Title
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- Reflection of Obliquely Incident Solita
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Abstract
Initial-value problem of two-dimensional reflection of solitary waves in shallow water is studied with a finite-difference method. If α>\sqrt3ε (α=the angle of incidence, ε=a⁄h, a=wave amplitude, h=undisturbed depth), the solution represents a regular reflection pattern which is composed of incident and reflected waves. On the other hand, if α<\sqrt3ε, a Mach reflection pattern which consists of three obliquely oriented solitary waves is obtained as an asymptotic solution. This solution agrees very well with the resonantly interacting solitary wave solution predicted by Miles. The run-up at the wall is considerably larger than that in linearized theory when α is close to \sqrt3ε, and this result is consistent with that predicted by Miles. It requires the time of order 100h⁄\sqrtag (g=gravitational acceleration) to reach stationary Mach reflection patterns when ε=0.05.
Journal
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 49 (6), 2371-2379, 1980
THE PHYSICAL SOCIETY OF JAPAN
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Details 詳細情報について
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- CRID
- 1390282679161854464
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- NII Article ID
- 210000088976
- 110001965350
- 130003896619
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- NII Book ID
- AA00704814
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- BIBCODE
- 1980JPSJ...49.2371F
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- ISSN
- 13474073
- 00319015
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- NDL BIB ID
- 2199371
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed