## 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 shown to construct aerodynamic geometries consisting of multiple objects to package

a set of existing geometries. Finally, the parameterisation is used to construct an optimal supersonic

multi-body geometry with less than half the drag of the equivalent volume optimal single body.

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 shown to construct aerodynamic geometries consisting of multiple objects to package

a set of existing geometries. Finally, the parameterisation is used to construct an optimal supersonic

multi-body geometry with less than half the drag of the equivalent volume optimal single body.

Original language | English |
---|---|

Journal | Structural and Multidisciplinary Optimization |

Publication status | Accepted/In press - 24 Oct 2025 |