一种更稳健的多参数共形映射方法用于任意船舶横截面的几何生成
A more robust multiparameter conformal mapping method for geometry generation of any arbitrary ship section
AI总结：
本文提出一种多参数共形映射方法，用于高精度映射任意船舶横截面到单位圆，通过迭代计算映射系数，验证了该方法在处理各种横截面时的鲁棒性和准确性。
摘要：
条带理论的核心问题在于计算二维横截面周围的势流。解决这一问题的一种方法是将船体横截面共形映射到单位圆上，该圆上存在已知的势流解。本文提出了一种新的多参数共形映射方法，能够将任意任意横截面准确映射到单位圆。寻找对应映射系数的程序是迭代的。所提出的映射技术被证明能够正确地映射各种船体、圆润和大细横截面。展示了对称和非对称横截面的映射示例。对于对称和非对称横截面，当前方法的结果与其他映射技术的结果进行了比较，目前生成的几何体与实际几何体有良好的一致性。
英文摘要：
The central problem of strip theory is the calculation of potential flowaround 2D sections. One particular method of solutions to this problem is conformal mapping of the body section to the unit circle over which a solution of potential flow is available. Here, a new multiparameter conformal mapping method is presented that can map any arbitrary section onto a unit circle with good accuracy. The procedure for finding the corresponding mapping coefficients is iterative. The suggested mapping technique is shown to be capable of appropriately mapping any chined, bulbous, and large and fine sections. Several examples of mapping symmetric and nonsymmetric sections are demonstrated. For symmetric and nonsymmetric sections, the results of the current method are compared against other mapping techniques, and the currently produced geometries display good agreement with the actual geometries.
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