Hydrodynamic Design Optimization Using the Efficient Complex Taylor's Series Expansion Method
by
Clarence Burg
Engineering Research Center, Mississippi State University
Coauthors: Ramesh Pankajakshan (Engineering Research Center, Mississippi State University)

As computational resources and numerical algorithms have improved, many researchers have developed high-fidelity numerical simulations of several types of flows. As a next step, the authors have changed an existing 3D, Navier-Stokes hydrodynamic code into a gradient-based design optimization code by using the complex Taylor's series expansion (CTSE) method. The simulation code is a implicit, structured, finite-volume code with a two-equation turbulence model and non-linear free-surface capabilities.

By adjusting the shape of hull, using approximately 100 design variables, the authors have minimized the free-surface distortions while maintaining a constant hull displacement. In this paper, the authors demonstrate that the CTSE method is equivalent to the direct formulation of discrete sensitivity analysis, discuss the use of the Gauss-Newton optimization method within the context of constrained optimization and present results for the optimization of a Wigley hull.

http://www.erc.msstate.edu/~burg

Date received: January 15, 2000