浮体与自由面交线附近流场的奇异性

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The Singular Behaviour in the Vicinity of Intersection between the Body and Free Surface

摘要: 本文研究了浮体与自由面交线附近势流流场的奇异性。结果表明,线性时域解在交线附近的奇异特征是d²lnd.线性频域解在交线附近的奇异特征也是d²lnd,但若采用无穷大频率自由面条件φ=0,交线附近流场的奇异特征是d1nd,这里的d表示交线上的点与场点的距离。
- 奇异性 /
- 速度势 /
- 时域问题 /
- 频域问题
Abstract: The singular behaviour in the vicinity of intersection between the body and free surface is presented. It is shown that in the linear regime the singularity of velocity potential for transient problem is in d²lnd. The singular behaviour for harmonic problem is the same as the result for the transient problem. In particular, the singularity for the harmonic problem with infinite frequency is in d²lnd for velocity potential (d is the distance between field point and intersection).
- singularity /
- velocity potential /
- the transient problem /
- the harmonic problem

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