波浪与起伏水平板防波堤相互作用数值模拟

利用自主研发的基于紧致插值曲线CIP(constrained interpolation profile)方法的数学模型,开展规则波与起伏水平板防波堤相互作用的数值模拟研究。模型在笛卡尔直角坐标下建立,以CIP方法为流场基本求解器,分步求解Navier-Stokes方程,利用高精度的流体体积类型的THINC/SW (tangent of hyperbola for interface capturing with slope weighting)方法重构自由液面,采用浸入边界IBM(immersed boundary method)方法处理波浪与起伏板防波堤的耦合作用问题,通过动量源项造波方法模拟波浪的产生。重点关注波浪的浅水变形和板两端涡旋脱落的非线性现象,分析不同潜深、波要素下的板周围流场分布、板的运动响应和波浪的反透射系数。结果表明:起伏水平板主要通过能量反射、板上浅水变形和板两端的涡脱落消能,能有效减小板后波高,具有作为防波堤的可行性。

Numerical simulation of water wave interaction with a floating plate breakwater

Numerical simulation of water wave interaction with a floating plate breakwater is performed, using an in-house CIP-based (Constrained Interpolation Profile) code. The multiphase flow model is built upon a two-dimensional Cartesian grid adopting a CIP scheme as the flow solver. The free surface between fluid and air is captured by THINC/ SW ( tangent of hyperbola for interface capturing with slope weighting) method, while the interaction of floating breakwater and water wave is calculated through an IBM (immersed boundary method) method. A momentum source function is applied as internal wave maker to generate waves. Considerable attention is paid to nonlinear phenomenon about vortex shedding and wave deformation. The effects of the immersed depth and wave conditions on the velocity field, plate amplitude, reflection coefficient and transmission coefficient are discussed. It is found that the floating plate dissipates energy mainly by energy reflection, wave deformation and vortex shedding, and has the potential of engineering application.