Complex Variable Boundary Element Method for Numerically Simulating Water Entry of a Wedge
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摘要: 为了对楔形体常速入水的抨击问题进行研究, 本文在数值求解过程中, 利用了以柯西积分为积分方程的复数变量边界元法, 并使用了非线性自由面边界条件迭代法, 结合浅水近似对射流进行了处理。利用3次样条插值对自由面上的网格进行了划分, 并详细讨论了网格、控制体大小的选取及一些相关数值方法, 得到了各种不同底升角楔形体入水物体表面的压力分布和自由面隆起及射流。结果表明, 当底升角很小时物体表面压力很大, 射流又细又长, 压力分布在射流处接近零, 且没有振荡和毛刺, 说明这种射流处理方法能很好地模拟射流飞溅。
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关键词:
- 楔形体 /
- 入水冲击 /
- 复数变量边界元法 /
- 非线性自由面边界条件迭代法 /
- 底升角
Abstract: To study the slamming problem of a wedge entering into water with constant speed, a complex variable boundary element method (CVBEM) based on the Cauchy integration equation is used in the numerical simulation, and the nonlinear free surface boundary conditions iteration with the shallow water approximation is also used to simulate the jet. The cubic spline interpolation is adopted to mesh the free surface. The size selections of the mesh and the control body as well as other relative numerical techniques are discussed. Consequently, the pressure distribution on wedge surface, the raise of free liquid surface and the jet pattern under different deadrise angle of sedge are achieved when it entering into water. The results show that when deadrise angle is small, the pressure on wedge surface is great, the jet is very thin and long without shake and burr, and the pressure distribution on jet approaches to zero, which indicates a perfect simulation of jet with the proposed method. -
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