Shape optimization of bow bulbs with minimum wave-making resistance based on Rankine source method

The hull form optimization concerns one of the most important applications of wave-making resistance theories. In recent years, scholars can determine the hull form by using the optimization method based on the computational fluid dynamics (CFD) and other mathematical techniques. In this paper, the hull form optimization method based on the Rankine source method and nonlinear programming (NLP) is discussed; in the optimization process, a hull form modification function is introduced to represent an improved hull surface and to generate a new smooth hull surface by changing its frame lines and bow stem profiles under the prescribed design constraints. Numerical example is given for a practical container hull form. Finally, shape optimization of bow bulls is shown for non-protruding and protruding bow bulls. This study presents a simplified and practical design method to the select frame lines of bow bulls.