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

Abstract

The central problem of strip theory is the calculation of potential flow around 2D sections. One particular method of solutions for this problem is conformal mapping of the body section to the unit circle over which solution of potential flow is available. Here, a new multi-parameter 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 proved able to map any chine, bulbous, large and fine sections, appropriately. Several examples of mapping the symmetrical as well as the nonsymmetrical sections have been demonstrated. For the symmetrical and nonsymmetrical 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.