Long Internal Waves of Large Amplitude in a Two-Layer Fluid
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- Funakoshi Mitsuaki
- Research Institute for Applied Mechanics, Kyushu University
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- Oikawa Masayuki
- Research Institute for Applied Mechanics, Kyushu University
書誌事項
- タイトル別名
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- Long Internal Waves of Large Amplitude
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抄録
Long internal waves of large amplitude are studied for a two-layer fluid with a rigid upper boundary. Steady periodic waves are calculated numerically assuming that mean velocities for each layer are equal. In the limit of long wavelength, the waves asymptote to either of a non-dissipative internal bore or a solitary wave of elevation or depression. The conditions for the appearance of each solution are obtained numerically, and one of the conditions is complemented by an analysis based on the conservations of mass, momentum and wave energy. Then it is shown that the interface for the solitary wave of large amplitude is not allowed to cross a critical level similarly to the case of small amplitude. Here the critical level is defined by the distance \sqrtΔh⁄(1+\sqrtΔ) from the bottom, and h is the interval between two boundaries, Δ=ρ2⁄ρ1 and ρ1 and ρ2 are densities of upper and lower layers. This result gives a criterion for the largest amplitude of a solitary wave.
収録刊行物
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 55 (1), 128-144, 1986
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679164385920
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- NII論文ID
- 210000092636
- 110001967718
- 130003739505
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1986JPSJ...55..128F
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 3064642
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 使用不可