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タイトル: 5. Tsunami in the Vicinity of a Wave Origin[III]
その他のタイトル: 5. 波源域における津波[III]
著者: MOMOI, Takao
著者(別言語): 桃井, 高夫
発行日: 1965年7月15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1号, 1965.7.15, pp. 53-93
抄録: In the numerical study of a tsunami, the most difficult question is the way in which the oscillatory factors cosω*t* and J0(k*r*), which are included in the integrand of the integration a*∫cosω*t*/cosh k*J0(k*r*)J1(k*a*)dk*, are to be transformed into a form suitable for numerical calculation. For this purpose, Filon's method is available, which makes the the above integration possible for large values of t* and r*. Since we have no available information with regard to the efficiency of this method, two examples of the integration are presented to check the efficiency of Filon's method in comparison with that devised by Simpson. In this paper, using Filon's method, the calculations of the above integration are carried out for values r* in the range 25 to 50. Subsequently, the following conclusions have been arrived at: - (1) notwithstanding an uniform elevation of a circular portion of the bottom, a saddle-shaped valley appears at the first intumescence of the waves, (2) the toe of the waves appears to advance at a speed of the long wave velocity for a tsunami of near-field, while the intumescences of the later phase are propagated with less than the velocity of a long wave, (3) the elevation of the first crest is in amount larger than the depression.
URI: http://hdl.handle.net/2261/12186
ISSN: 00408972


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