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タイトル: 19. The Method of the "Buffer Domain" in Water with a Step Bottom[I]
その他のタイトル: 19. ステップ状の水底をもつ水中におけるBuffer Domainの方法について[I]
著者: MOMOI, Takao
著者(別言語): 桃井, 高夫
発行日: 1965年9月20日
出版者: 東京大学地震研究所
掲載誌情報: 東京大学地震研究所彙報. 第43冊第2号, 1965.9.20, pp. 269-289
抄録: In the previous works, the author has developed a new method which is very useful in treating the problem with the abruptly varying boundaries. In the neighbouring parts of the abruptchanging boundaries, new domains named "buffer domains" are set up for easy corrections of the boundary conditions. Hence, this method is called the method of the buffer domain. In this paper, this method is verified as being applicable to the case where the boundary changes suddenly in the vertical direction, while the problems hitherto treated are the cases of horizontally changing boundaries. The primary purpose of the present study is to prove that the method of the buffer domain is still applicable to the problem which has an abrupt irregularity of the boundary in the vertical direction. The present method is found to be very practicable to the problem mentioned above. The secondary purpose of the work is to examine the behaviors of the waves in the surrounding regions of the irregular boundary. As a result of a computation under the first approximation, it turns out that:- (1) The amplitude factors of the waves advancing through and reflected from the step of the bottom is the same as those derived from a consideration of flux of water which is introduced by Lamb. (2) As far as the phase is concerned, the phase differences of a1(0)h and 2・a1(0)h take place for the advancing and reflected waves, where a1(0) is the wave number of the incident waves and h the height of the step of the bottom. (3) The damping terms(the terms of the disturbances in the nearby parts of the irregular boundary) are of the second order of the present approximation(the first approximation). Hence, these terms have no significance in the computation of the first order of the approximation.
先に筆者は,境界が急激に変るような場における波を解析的にとり扱うに便利な方法を導入した(例えば,L字水路における津波など).この方法の特長は急激に変る境界部近傍にbuffer domainと称される新しい領域を作り上げるところである.それ故に,この方法はbuffer domainの方法と言われる.今迄の取り扱いは境界が水平方向に変る場合のみであつたが,本論説において,筆者はこの方法が,境界が垂直方向に急激に変る場合にも適用し得ることを証明せんと試み,実際に適用できることを知つた.
URI: http://hdl.handle.net/2261/12200
ISSN: 00408972


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