運用除奇點技巧對任意浮體之全非線性波計算

Fully Nonlinear Wave Calculations for Arbitrary Floating Bodies Using Desingularization Approach

李宗翰(Tzung-Hang Lee) ； 陳景亮(Jing-Liang Chen) ； 陳昌隆(Chang-Lung Chen)

《中國航空太空學會學刊》 33卷2期 (2001/06) Pp. 95-101

https://doi.org/10.6124/TAASRC.200106_33(2).05

摘要

全非線性(fully nonlinear)時間域(time domain)理論之發展及其數值分析模型之建立已成爲研究浮體運動領域之必然趨勢。本文所述之新概念數值模型，即DELTA方法（Desingularized Eulerian-Lagrangian Time-domain Approach方法）；其中”Desingularized”之意即是將傳統作法中佈置於計算區域面上之奇點移至計算區域之外。本數值模型在時間域內採用全非線性之運動及動力自由液面邊界條件(kinetic and dynamic free surface boundary conditions)及完全物體邊界條件(exact body boundary condition)。本文對直壁形及斜壁形浮體作振盪時，其運動過程中，因爲速度之變化而產生相對應之非線性效應進行數值分析；並以此模型進行計算、對計算結果作討論。

關鍵字

全非線性 ； 時間域 ； DELTA方法 ； 斜壁形浮體

並列摘要

The numerical model developed in this work takes DELTA method (Desingularized Eulerian-Lagrangian Time-domain Approach method) as its theoretical basis. ”Desingualrized” means to move the singularities that traditionally located right on the boundaries of the computational domain out of the domain hence, the special treatment for the singularities is avoided.
The boundary conditions applied in the time-domain numerical model built in this paper are fully nonlinear kinetic and dynamic free surface boundary conditions and exact body boundary condition. The variations of free surface are simulated when different types of floating bodies are moving with forced oscillating motions. A series of wall-sided and inclined-wall floating bodies under different modes of motions and different water depths are conducted The numerical results obtained using DELTA method are presented and discussed in this paper.

並列關鍵字

fully nonlinear ； time domain DELTA method ； inclined-wall floating bodies