Topology optimisation of transient compressible flow

We present the first formulation of topology optimisation for transient compressible flow. We discretise the equations with a discontinuous Galerkin method, due to its similarity to the popular finite volume method, and its capacity to model discontinuities in the flow. The discretised topology optimisation problem is solved through an integer linear programming algorithm. We present numerical examples that optimise the shape of a nozzle and a pipe joint in the presence of a time-varying inflow.

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Publication Details

Journal
Engineering With Computers
Published
2025-10-11
DOI
https://doi.org/10.1007/s00366-025-02203-2
Primary Topic
Topology Optimization in Engineering
Type
article
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article

Topology optimisation of transient compressible flow

Júlio Romano Meneghini, Emílio Carlos Nelli Silva, Diego Hayashi Alonso, Patrick E. Farrell
Engineering With Computers
Topology Optimization in Engineering
article

Topology optimisation of transient compressible flow

Júlio Romano Meneghini, Emílio Carlos Nelli Silva, Diego Hayashi Alonso, Patrick E. Farrell
article en

Abstract

We present the first formulation of topology optimisation for transient compressible flow. We discretise the equations with a discontinuous Galerkin method, due to its similarity to the popular finite volume method, and its capacity to model discontinuities in the flow. The discretised topology optimisation problem is solved through an integer linear programming algorithm. We present numerical examples that optimise the shape of a nozzle and a pipe joint in the presence of a time-varying inflow.

Engineering With ComputersVol. 41(6)
Universidade de São Paulo (BR), Charles University (CZ), Mathematical Institute of the Slovak Academy of Sciences (SK)
Openalex Percentile: Top 70%
Topology Optimization in Engineering
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