Numerical Simulation of Nonlinear Water Waves based on Fully Nonlinear Potential Flow Theory in OpenFOAM-Extend

Numerical Simulation of Nonlinear Water Waves based on Fully Nonlinear Potential Flow Theory in OpenFOAM-Extend
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OpenFOAM-Extend 中基于全非线性势流理论的非线性水波数值模拟

DOI:
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
D. Greaves
D. Greaves
中科院分区:
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文献类型:
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作者:
A. Mehmood;D. Graham;K. Langfeld;D. Greaves

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我们在开源计算流体力学工具箱OpenFOAM R©-Ext中开发了一个自由面跟踪求解器,用于非定常、无旋、完全非线性水波的数值模拟。该解算器基于具有运动自由面的速度势的拉普拉斯解。通过求解基于流出自由表面的法向通量的运动边界条件来跟踪自由表面。文中还给出了入口处产生真实波浪所需的边界条件和出口边界处的吸收边界条件。为避免数值不稳定,采用5点光顺技术对自由面高程进行光顺。速度势的拉普拉斯方程的解、非线性自由表面边界条件、波的产生和吸收边界条件都不是标准OpenFOAM R©分布的一部分。势流求解器能够模拟大振幅驻波和行进波。通过对二阶驻波的数值计算结果与解析结果的比较,验证了数值解的正确性,并与实验结果进行了比较,得到了令人满意的结果。
We develop a free surface tracking solver for numerical simulation of unsteady irrotational fully non-linear water waves in a freely available open-source computational fluid dynamics toolbox OpenFOAM R ©-Ext, which is community-driven release of OpenFOAM R ©. The solver is based on the solution of the Laplacian of the velocity potential with moving free surface. The free surface is tracked by solving the kinematic boundary condition based on the normal flux out of the surface. We also develop the necessary boundary conditions for the realistic wave generation at inlet and the absorption boundary condition at the outlet boundary. To avoid numerical instability, a 5-point smoothing technique is used to smooth the free surface elevation. Solution of Laplace’s equation for the velocity potential, the non-linear free surface boundary conditions, the wave generation and the absorption boundary conditions are all not part of the standard OpenFOAM R © distribution. The potential flow solver is able to simulate large amplitude standing and progressive waves. We validate the solver by comparing the numerical results with analytical results for second order standing waves, and progressive waves with experimental results and satisfactory agreement is found.
DOI: 10.1002/fld.2079
发表时间: 2009
影响因子: 1.8
作者:
W. Bai;C. Mingham;D. Causon;L. Qian
通讯作者: W. Bai;C. Mingham;D. Causon;L. Qian