定常造波問題におけるRankine Source法の基礎と開境界処理に関する一考察
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概要
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An attempt has been made to clarify the theoretical and computational aspect of the mathematical models of Rankine source type to the steady ship wave problems with special reference to the treatment of the open boundary in this paper. Following the classical linear theory, exact velocity potential expressions of Rankine source type have been derived for the two-dimensional free-surface flow. The existing Rankine source expressions have been proved to be slightly inconsistent with the classical ones with radiating waves at downstream infinity. Asymptotic solutions have been examined to a series of the linear free surface conditions with small higher order terms. A criterion for generating radiating waves downstream has been found with respect to the coefficients of the added terms. Study of Rankine source algorithms of upstream difference type has illustrated that the upstream differencing of the free surface condition causes almost the same effect as adding to it the small higher order terms and the criterion is effective for understanding the asymptotic behavior of the corresponding numerical solutions. A rationalization of a staggered collocation Rankine source scheme has been studied and the physical meaning as well as the numerical effect have been clarified. Extensions of this approach to three dimensions is straightforward. The present findings also give a good insight into the complicated nonlinear analyses.
- 社団法人日本船舶海洋工学会の論文
- 1991-03-29
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- 定常造波問題におけるRankine Source法の基礎と開境界処理に関する一考察