Hydrodynamic design using a derivative-free method

A derivative-free shape optimization tool for computational fluid dynamics (CFD) is developed in order to facilitate the implementation of complex flow solvers in the design procedure. A modified Rosenbrock’s method is used, which needs neither gradient evaluations nor approximations. This approach...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2004-09, Vol.28 (2-3), p.195-205
Main Authors: Duvigneau, R, Visonneau, M
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Deformation
Design modifications
Engineering Sciences
Finite element method
Fluid flow
Fluid mechanics
Fluids mechanics
Free form
Free surfaces
Hydrofoils
Mechanics
Physics
Shape optimization
Simulation
Software
Solvers
Turbulence models
Unstructured grids (mathematics)
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Summary:A derivative-free shape optimization tool for computational fluid dynamics (CFD) is developed in order to facilitate the implementation of complex flow solvers in the design procedure. A modified Rosenbrock’s method is used, which needs neither gradient evaluations nor approximations. This approach yields a robust and flexible tool and gives the capability of performing optimizations involving complex configurations and phenomena. The flow solver implemented solves the Reynolds-averaged Navier–Stokes equations (RANSE) on unstructured grids, using near-wall, low-Reynolds-number turbulence models. Free surface effects are taken into account by a pseudosteady surface tracking method. A mesh deformation strategy based on both lineal and torsional springs analogies is used to update the mesh while maintaining the quality of the grid near the wall for two-dimensional problems. A free-form-deformation technique is used to manage the mesh and the shape perturbations for three-dimensional cases. Two hydrodynamic applications are presented, concerning first the design of a two-dimensional hydrofoil in relation with the free-surface elevation and then the three-dimensional optimization of a hull shape, at full scale.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-004-0414-z