Arbitrary Boundary Conditions in Topology Optimization: Applications in Strongly Coupled Viscothermal Multiphysics

Arbitrary Boundary Conditions in Topology Optimization: Applications in Strongly Coupled Viscothermal Multiphysics | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Arbitrary Boundary Conditions in Topology Optimization: Applications in Strongly Coupled Viscothermal Multiphysics Jonathan Mirpourian, Niels Aage This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6690751/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Density based topology optimization has proven to be a powerful framework for designing high-performance structures across a wide range of physical domains. However, a challenge in density based topology optimization is incorporating the influence of boundary dependent conditions such as forces, heat fluxes, and interface conditions in the optimization process, due to the evolving and initially undefined nature of these boundaries. Existing solutions to this problem often rely on physics-specific workarounds, auxiliary fields, or mesh-dependent strategies, limiting their generality and broad applicability. In this work, we introduce a novel approach based on boundary interpolations. This enables the application of arbitrary boundary conditions in density based topology optimization, regardless of mesh structures or underlying physics. The boundary interpolations integrate seamlessly into the density based topology optimization methodology, transforming it straightforwardly into a boundary-aware optimization method. We demonstrate this by designing an optimal acoustic resonator that leverages viscothermal boundary losses to fully absorb an incoming acoustic wave, and we highlight the degradation of the resonator’s absorption performance when physically accurate vibroacoustic multiphysics are taken into account. To recover its performance, we subsequently include a strongly coupled vibroacoustic multiphysics model in the optimization process, along with the associated boundary-dependent coupling conditions. This showcases,to the best of the authors knowledge, the first simultaneous application of multiple interface conditions to a single boundary during a density based topology optimization process. This advancement opens the door not only to the optimal design of complex vibroacoustic systems, encompassing all their physical complexity, but also to other applications that require the incorporation of boundary effects into density based topology optimization. Topology Optimization Boundary Dependent Optimization Viscothermal Boundary Losses Strongly Coupled Multiphysics Vibroacoustics Resonator Design Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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