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Efficient Shape Parametrisation for Automatic Design Optimisation using a Partial Differential Equation Formulation

By Hassan Ugail and M.J. Wilson

Abstract

NoThis paper presents a methodology for efficient shape parametrisation for automatic design optimisation using a partial differential equation (PDE) formulation. It is shown how the choice of an elliptic PDE enables one to define and parametrise geometries corresponding to complex shapes. By using the PDE formulation it is shown how the shape definition and parametrisation can be based on a boundary value approach by which complex shapes can be created and parametrised based on the shape information at the boundaries or the character lines defining the shape. Furthermore, this approach to shape definition allows complex shapes to be parametrised intuitively using a very small set of design parameters

Topics: PDEs, ; Parametric design, ; Shape parametrisation, ; Automatic optimisation
Year: 2003
DOI identifier: 10.1016/S0045-7949(03)00321-3
OAI identifier: oai:bradscholars.brad.ac.uk:10454/2952
Provided by: Bradford Scholars
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