基于多次透射公式和无奇异边界元法模拟全非线性数值波浪水池（英文）

发布时间：2018-06-27 19:55

本文选题：数值波浪水池 + 无奇异边界积分法　；参考：《船舶力学》2017年09期

【摘要】：文章基于势流理论对全非线性的三维数值水池进行了模拟,其控制方程由无奇异边界积分方程法(Desingularized Boundary Integral Equation Method,DBIEM)进行离散求解,在求解全非线性的自由面微分方程时,文中采用混合欧拉—拉格朗日法(Mixed Eulerian-Lagrangian,MEL)和四阶Adams-Bashforth-Moulton(ABM4)预报—修正方法,为了避免结果发散即增强数值稳定性,文中采用B样条法来光顺波面。同时,在远方辐射控制面上采用多次透射公式方法(Multitransmitting Formula,MTF)来进行消波,文中得到的结果与理论解进行了比较,结果表明该方法可用来有效模拟全非线性的数值波浪水池。
[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.
【作者单位】：江苏科技大学船舶与海洋工程学院;
【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~~
【分类号】：O35

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