22. Tsunami in an L-shaped Canal[II]
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概要
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This article is a continuation of a study on the tsunami in an L-shaped canal. The development of the theory is made under the approximation(III) described in the introduction of this paper. As the theory is developed from that of the initial study on this problem, it is desirable that the directions of our method be modified a little so as to suit the new situation. Such directions are as written hereunder:- (1) an expansion of sinusoidal functions by power series, (2) an elimination of the expressions in the buffer domain, and as a sub-direction of (2), on the occasion of the elimination, it is preferred not to use the equations with the factors k(m)d (m=1,2,3,・・・). The last statement of the above directions is detailed in the last part of this paper. Owing to the complexity of the reduction, the only case reviewed in the present purview is that where the widths of two canals are equal to each other. According to the theory developed in this article, the expressions of the zeroth mode are more related with those of the higher modes as the generalization of the approximation proceeds. The final solutions are given in (46), (47) and (56)-(59) in section 3. The numerical analysis is retained in a future study.本論説はL字水路における津波を取りあつかう方法に関しておこなつてきた理論展開の延長である.前論説においては,本論説の序説に述べてある近似(I)および(II)の範囲で理論の展開をおこなつた.本論説では,序説の(III)の場合にまで近似を高め,理論を展開した.近似が(III)の場合まで高まると,第零次モードだけでは最早buffer domainの表現を除去することはできなくなり,第一次モードも演算の中に入つてくる.
- 1964-12-25
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