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A Finite Volume Based Fully Nonlinear Potential Flow Model for Water Wave Problems
Applied Ocean Research ( IF 4.3 ) Pub Date : 2020-11-27 , DOI: 10.1016/j.apor.2020.102445
Zaibin Lin , Ling Qian , Wei Bai , Zhihua Ma , Hao Chen , Jian-Guo Zhou , Hanbin Gu

A new Fully Nonlinear Potential Flow (FNPF) numerical model has been developed for the simulation of nonlinear water wave problems. At each time step, the mixed boundary value problem for the flow field is spatially discretised by Finite Volume Method (FVM) and the kinematic and dynamic free surface boundary conditions are defined in a semi-Eulerian-Lagrangian form, which are used to update the wave elevation and velocity potential on the free surface. In the numerical model, waves are generated through a relaxation zone and absorbed by an artificial damping zone at the inlet and outlet of the numerical wave tank (NWT), respectively. Instead of a five-point smoothing technique, a more versatile fourth-order technique is developed to eliminate the possible saw-tooth instability at the free surface. Test cases with increasing complexities, such as wave generation and absorption, 2- and 3-Dimensional wave shoaling, and wave-cylinder interaction are simulated to assess its accuracy, convergence, and robustness. For all the cases considered, satisfactory agreements of free surface elevation and wave-induced forces against the experimental measurements and other existing numerical results are achieved. The developed numerical model fully utilises the existing functionalities in OpenFOAM and has the potential to provide an effective alternative to other FNPF based models for constructing a hybrid numerical wave tank model through its coupling with the multiphase flow models in OpenFOAM.



中文翻译:

基于有限体积的水波问题全非线性势流模型

为了模拟非线性水波问题,已经开发了一种新的全非线性势流(FNPF)数值模型。在每个时间步上,通过有限体积法(FVM)在空间上离散流场的混合边界值问题,并以半欧拉-拉格朗日形式定义运动学和动态自由表面边界条件,用于更新自由表面上的波高和速度势。在数值模型中,波通过松弛区生成,并分别在数值波箱(NWT)的入口和出口处被人工阻尼区吸收。代替五点平滑技术,开发了一种更加通用的四阶技术来消除自由表面上可能存在的锯齿不稳定性。测试案例越来越复杂,诸如波的产生和吸收,二维和三维波群分析以及波缸相互作用等,可以评估其准确性,收敛性和鲁棒性。对于所有考虑的情况,都获得了令人满意的自由表面高度和波浪感应力与实验测量值以及其他现有数值结果的一致性。所开发的数值模型充分利用了OpenFOAM中的现有功能,并有可能通过与OpenFOAM中的多相流模型相结合,为其他基于FNPF的模型构建混合数值波箱模型提供有效的替代方案。获得了自由表面高度和波浪引起的力与实验测量值以及其他现有数值结果的令人满意的协议。所开发的数值模型充分利用了OpenFOAM中的现有功能,并有可能通过与OpenFOAM中的多相流模型相结合,为其他基于FNPF的模型构建混合数值波箱模型提供有效的替代方案。获得了自由表面高度和波浪引起的力与实验测量值以及其他现有数值结果的令人满意的协议。所开发的数值模型充分利用了OpenFOAM中的现有功能,并有可能通过与OpenFOAM中的多相流模型相结合,为其他基于FNPF的模型构建混合数值波箱模型提供有效的替代方案。

更新日期:2020-12-01
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