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Modal laminar–turbulent transition delay by means of topology optimization of superhydrophobic surfaces
FLOW Centre and Swedish e-Science Research Centre (SeRC), KTH Mechanics, Royal Institute of Technology, Stockholm, Sweden.
FLOW Centre and Swedish e-Science Research Centre (SeRC), KTH Mechanics, Royal Institute of Technology, Stockholm, Sweden.
Umeå University, Faculty of Science and Technology, Department of Computing Science. Department of Mathematics and Computer Science, Karlstad University, Karlstad, Sweden.ORCID iD: 0000-0001-8704-9584
Umeå University, Faculty of Science and Technology, Department of Computing Science.ORCID iD: 0000-0003-0473-3263
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2023 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 403, article id 115721Article in journal (Refereed) Published
Abstract [en]

When submerged under a liquid, the microstructure of a SuperHydrophobic Surface (SHS) traps a lubricating layer of gas pockets, which has been seen to reduce the skin friction of the overlying liquid flow in both laminar and turbulent regimes. More recently, spatially homogeneous SHS have also been shown to delay laminar–turbulent transition in channel flows, where transition is triggered by modal mechanisms. In this study, we investigate, by means of topology optimization, whether a spatially inhomogeneous SHS can be designed to further delay transition in channel flows. Unsteady direct numerical simulations are conducted using the spectral element method in a 3D periodic wall-bounded channel. The effect of the SHS is modelled using a partial slip length on the walls, forming a 2D periodic optimization domain. Following a density-based approach, the optimization procedure uses the adjoint-variable method to compute gradients and a checkpointing strategy to reduce storage requirements. This methodology is adapted to optimizing over an ensemble of initial perturbations. This study presents the first application of topology optimization to laminar–turbulent transition. We show that this method can design surfaces that delay transition significantly compared to a homogeneous counterpart, by inhibiting the growth of secondary instability modes. By optimizing over an ensemble of streamwise phase-shifted perturbations, designs have been found with comparable mean transition time and lower variance.

Place, publisher, year, edition, pages
Elsevier, 2023. Vol. 403, article id 115721
Keywords [en]
Channel flow, Direct numerical simulations, Laminar–turbulent transition, Spectral element method, Super-hydrophobic surfaces, Topology optimization
National Category
Applied Mechanics Other Physics Topics
Identifiers
URN: urn:nbn:se:umu:diva-201199DOI: 10.1016/j.cma.2022.115721ISI: 000906896000009Scopus ID: 2-s2.0-85141501653OAI: oai:DiVA.org:umu-201199DiVA, id: diva2:1719347
Funder
Swedish Research Council, 2016-06119Swedish Research Council, 2019-04339Available from: 2022-12-15 Created: 2022-12-15 Last updated: 2023-09-05Bibliographically approved

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Wadbro, EddieBerggren, Martin

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