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    完全非線性深水波的數值模擬
    Numerical simulation of fully nonlinear deep-water waves
    投稿時間:2009-10-11  修訂日期:2010-12-07
    DOI:
    中文關鍵詞:  造波板運動  數值變深水槽  完全非線性  高階邊界元  深水波
    英文關鍵詞:Wave maker motion  numerical wave tank  fully nonlinear  HOBEM  deep water waves
    基金項目:國家高技術研究發展計劃(863計劃);國家自然科學基金項目(面上項目,重點項目,重大項目)
    作者單位郵編
    周斌珍 大連理工大學 116024
    摘要點擊次數: 4325
    全文下載次數: 495
    中文摘要:
          基于勢流理論,并結合深水波質點運動從水面向下呈e指數衰減的特性,建立了完全非線性數值變深水槽模型,通過實時模擬活塞式造波機運動來產生波浪。采用時域高階邊界元法進行模擬,利用混合歐拉-拉格朗日方法和四階Runge-Kutta方法追蹤流體瞬時水面,應用鏡像格林函數消除了水槽兩個側面的積分,在水槽末端布置人工阻尼層消除反射波浪。利用GMRES加速算法,提高了計算效率。利用所建模型對深水波進行了模擬研究,得到了穩定的波形,在造波板運動幅值較小時,與線性解析結果吻合良好,當造波板運動幅值較大時,體現出波浪的非線性特性。同時利用所建模型研究了造波板所在位置(上部臺階)水深對生成波浪高度的影響,由此可以選擇合適的造波板所在位置水深及造波板運動幅值來得到所需要的深水波浪。
    英文摘要:
          Based on potential theory and the particle velocity decreasing exponentially with the increasing of water depth for the deep-water waves, a fully nonlinear numerical variable deep wave flume model was developed. Waves generated by a piston wave maker were real-time simulated. The model is developed by using a time domain higher-order boundary element method (HOBEM). A mixed Eulerian-Lagrangian technique and a 4th-order Runge-Kutta scheme are utilized to track the free surface. Image Green function is used in the whole fluid domain so that the integration on the lateral surfaces are excluded. An artificial damping layer is distributed at the end of the flume to eliminate wave reflection. The GMRES accelerated algorithm is utilized to improve calculation efficiency. Numerical experiments are carried out to model the deep water waves. Steady wave profiles are obtained and good agreements between numerical solutions and analytical solutions are obtained for the small motion amplitude of the wave maker. The wave nonlinear features are shown for the large motion amplitude. Numerical experiments are also carried out to study the effect on the generated wave height due to the water depth at the up step. According to the proposed numerical simulation, the suitable water depth at the up step and the motion amplitude of the wave maker can be derived to get the required wave in deep water.
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