Metamodeling of NURBS Surfaces for Visual Representation of Hydrodynamic Solutions
The present paper discusses the topic that of directional stability and course keeping of fast Throughout early stages of ship design, numerous design variable values must be considered to gather information in an effort to steer decision makers towards optimal designs. The computational speed of design tools often leads engineers to make tradeoffs between solution fidelity and the time it takes to analyze multiple designs with the same tool. Metamodeling allows for instantaneous estimation of higher fidelity solutions for tools with a single value as an output, such as total resistance. However, these methods lack in usefulness when the solution of a design tool is visual in nature, such as the distribution of pressures on a hull. This paper will outline a new method of metamodeling applied to distributed data. While current metamodeling methods are useful in automated design environments, such as optimization algorithms, the method described in this paper allows the designer to be brought back into the design process by providing immediate estimations of design tool outputs that are best interpreted visually. The method works by using Non-Uniform Rational B-Spine (NURBS) curves and surfaces to represent 2 and 3 dimensional outputs of design tools and applying conventional metamodeling methods to the NURBS coefficients. The remainder of this paper will be outlined as follows: first background information will be presented, then the NURBS metamodeling method will be explained in detail, next two example applications will be demonstrated, finally some conclusions will be made.