| 刘珍,滕斌,宁德志,孙亮.波流与结构物相互作用的数值模拟[J].计算力学学报,2010,27(1):82~87 |
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| 波流与结构物相互作用的数值模拟 |
| Time-domain simulation of the wave-current action on 3D bodies |
| 投稿时间：2008-03-23 |
| DOI：10.7511/jslx20101014 |
| 中文关键词: 波流绕射 时域方法 慢漂力 激振力 高阶边界元 |
| 英文关键词:wave-current diffraction time-domain simulation drift force exciting force boundary element method |
| 基金项目:国家自然科学基金(50709005,50921001,10772040);国家科技重大专项课题(2008ZX05026-02)资助项目. |
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| 中文摘要: |
| 采用高阶边界元法建立波流与任意形状结构物相互作用的时域数学模型。在小流速假设下,将速度势进行摄动展开,边界条件分解为双物体假设下的零阶波陡稳定问题和一阶波陡下的不稳定波浪问题。物面速度势及自由水面速度势的法向导数等未知量通过求解高阶边界元积分方程得到,而积分方程的求解则通过一个数值程序来实现。在每个时间步上采用四阶Runge-Kutta法更新下一时刻自由水面波面和速度势,自由水面上采用人工阻尼层消除散射波。通过波流与直立圆柱相互作用的数值计算研究了一阶激振力和二阶慢漂力随波数的变化关系以及圆柱周围波幅的分布曲线,并与已有频域结果和时域结果对比验证了所建模型的准确性,进而应用本文模型研究了波流与实际工程结构物相互作用的问题。 |
| 英文摘要: |
| A time-domain numerical model is established by a higher-order boundary element method to study the problem of wave-current action on arbitrary 3D bodies. Under the assumption of small flow velocity, the velocity potential is expanded by a perturbation method. The boundary value problem is decomposed into a steady double-body flow problem at the zero-order of wave steepness and an unsteady wave problem at the first-order of wave steepness. The velocity potential on the body surface and the derivative of the velocity potential on the free surface are then given as the solution of a higher order boundary element integral equation, which is solved by a numerical code. A 4th-order Runge-Kutta method is applied for the time marching. An artificial damping layer is adopted to dissipate the scattering waves. Validation of the numerical method is carried out on wave forces, run-up and mean drift forces of wave-current acting on a bottom-mounted vertical cylinder. The present results are all in close agreement with the results of a frequency-domain method and a published time-domain method. Subsequently, this model was applied to investigate the problem of wave-current interaction with actual engineering structures. |
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