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基于多次透射公式和無奇異邊界元法模擬全非線性數(shù)值波浪水池(英文)

發(fā)布時間:2018-06-27 19:55

  本文選題:數(shù)值波浪水池 + 無奇異邊界積分法; 參考:《船舶力學》2017年09期


【摘要】:文章基于勢流理論對全非線性的三維數(shù)值水池進行了模擬,其控制方程由無奇異邊界積分方程法(Desingularized Boundary Integral Equation Method,DBIEM)進行離散求解,在求解全非線性的自由面微分方程時,文中采用混合歐拉—拉格朗日法(Mixed Eulerian-Lagrangian,MEL)和四階Adams-Bashforth-Moulton(ABM4)預(yù)報—修正方法,為了避免結(jié)果發(fā)散即增強數(shù)值穩(wěn)定性,文中采用B樣條法來光順波面。同時,在遠方輻射控制面上采用多次透射公式方法(Multitransmitting Formula,MTF)來進行消波,文中得到的結(jié)果與理論解進行了比較,結(jié)果表明該方法可用來有效模擬全非線性的數(shù)值波浪水池。
[Abstract]:In this paper, based on the potential flow theory, the fully nonlinear three-dimensional numerical pool is simulated. The governing equations are discretized by the Desingulated Boundary integral equation method (DBIEM), and the fully nonlinear free surface differential equations are solved. The mixed Eulerian-Lagrangianel method and the fourth order Adams-Bashforth-Moulton (ABM4) predictor-correction method are used in this paper. In order to avoid the divergence of the results and enhance the numerical stability, the B-spline method is used to smooth the wavefront. At the same time, the multitransmission formula (MTF) method is used to eliminate the wave on the remote radiation control plane. The results obtained in this paper are compared with the theoretical solution. The results show that the method can be used to simulate the numerical wave pool with full nonlinearity effectively.
【作者單位】: 江蘇科技大學船舶與海洋工程學院;
【基金】:Supported by the National Natural Science Foundation of China(Grant No.51309125,51409128,51379094,51179077) the Project Founded by Priority Academic Program Development of Jiangsu Higher Education Institutions~~
【分類號】:O35

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