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Second-Order Free Surface Effect on Cavitating 3-D Hydrofoils

机译:对空化3-D水翼的二阶无表面效应

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The iterative method which is originally developed before for the three-dimensional cavitating hydrofoils moving with constant speed under a free surface is extended to include the second-order free surface effect into the calculations. The iterative nonlinear method is based on the Green's theorem and allows separating the cavitating hydrofoil problem and the free surface problem. These two problems are solved separately, with the effects of one on the other being accounted for in an iterative manner. The cavitating hydrofoil surface and the free surface are modeled with constant strength dipole and constant strength source panels. The second-order free surface effect is included into the calculations by the technique of small perturbation expansion both for the potential and for the wave elevation on the free surface. The source strengths on the free surface are expressed in terms of perturbation potential by applying firstorder (linearized) and second-order free surface conditions. No radiation condition is enforced for downstream and transverse boundaries. Second-order free surface effect on cavitation characteristics and wave elevations is discussed.
机译:最初在自由表面下以恒定速度移动的三维空化水翼之前最初开发的迭代方法延伸以包括二阶自由表面效应进入计算。迭代非线性方法基于绿色的定理,并允许分离空化水翼问题和自由表面问题。这两个问题是单独解决的,其中一个在另一个上的效果以迭代方式占据。空化水翼表面和自由表面与恒强强度偶极和恒强强度源板进行建模。通过对自由表面上的电位和波浪升高,通过小扰动扩展的技术包括在计算中的计算中。通过施加第一阶(线性化)和二阶自由表面条件,在扰动电位方面表达自由表面的源强度。对于下游和横向边界,不强制辐射条件。讨论了对空化特性和波升高的二阶自由表面效果。

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