Topology-inclusive aerodynamic shape optimisation using a cellular automata parameterisation
M. J. Wood, T. C. S. Rendall, C. B. Allen, L. J. Kedward, N. J. Taylor, J. Fincham, N. E. Leppard
TL;DR
A new method for aerodynamic shape optimization uses cellular automata to create complex geometries with high accuracy and reduced drag.
Contribution
The novel parameterization method enables topology-inclusive aerodynamic shape optimization with localized control mesh refinement.
Findings
The method reconstructs over 98% of aerofoil geometries within wind tunnel-equivalent tolerance.
It recovers known analytical optima in supersonic flow using gradient-free optimization.
An optimal supersonic multi-body geometry is created with less than half the drag of a single body.
Abstract
A novel geometry parameterisation method constructed from a volume-of-solid driven cellular automata is presented. The method is capable of describing complex geometry of arbitrary topology using a set of volume-of-solid parameters applied to a geometry control mesh. This is done by approximating the smooth geometry of minimum surface area subject to a set of localised constraints on contained volume defined by both the control mesh and volume-of-solid parameters. Localised control mesh refinement is possible through splitting of control mesh cells to provide additional degrees of freedom where necessary. The parameterisation is shown to reconstruct over 98% of a library of aerofoil geometries to within a standard wind tunnel-equivalent geometric tolerance, and to recover known analytical optima in supersonic flow. Using gradient-free optimisation methods, the parameterisation is then…
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Advanced Numerical Methods in Computational Mathematics · Advanced Numerical Analysis Techniques