A more robust multiparameter conformal mapping method for geometry generation of any arbitrary ship section

TL;DR

This paper introduces a new multiparameter conformal mapping method that accurately maps any arbitrary ship section onto a unit circle, improving potential flow calculations in ship hydrodynamics.

Contribution

A novel iterative multiparameter conformal mapping technique capable of accurately mapping diverse ship sections onto a unit circle.

Findings

Method accurately maps various complex ship sections.

Results show good agreement with actual geometries.

Compared to existing techniques, the new method demonstrates improved accuracy.

Abstract

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.