English

An efficient computational framework for naval shape design and optimization problems by means of data-driven reduced order modeling techniques

Numerical Analysis 2024-01-22 v1 Numerical Analysis

Abstract

This contribution describes the implementation of a data--driven shape optimization pipeline in a naval architecture application. We adopt reduced order models (ROMs) in order to improve the efficiency of the overall optimization, keeping a modular and equation-free nature to target the industrial demand. We applied the above mentioned pipeline to a realistic cruise ship in order to reduce the total drag. We begin by defining the design space, generated by deforming an initial shape in a parametric way using free form deformation (FFD). The evaluation of the performance of each new hull is determined by simulating the flux via finite volume discretization of a two-phase (water and air) fluid. Since the fluid dynamics model can result very expensive -- especially dealing with complex industrial geometries -- we propose also a dynamic mode decomposition (DMD) enhancement to reduce the computational cost of a single numerical simulation. The real--time computation is finally achieved by means of proper orthogonal decomposition with Gaussian process regression (POD-GPR) technique. Thanks to the quick approximation, a genetic optimization algorithm becomes feasible to converge towards the optimal shape.

Keywords

Cite

@article{arxiv.2004.11201,
  title  = {An efficient computational framework for naval shape design and optimization problems by means of data-driven reduced order modeling techniques},
  author = {Nicola Demo and Giulio Ortali and Gianluca Gustin and Gianluigi Rozza and Gianpiero Lavini},
  journal= {arXiv preprint arXiv:2004.11201},
  year   = {2024}
}
R2 v1 2026-06-23T15:03:15.972Z