Print Email Facebook Twitter Towards improved porous models for solid/fluid topology optimization Title Towards improved porous models for solid/fluid topology optimization Author Theulings, M.J.B. (TU Delft Computational Design and Mechanics; National Aerospace Laboratory - Netherlands) Langelaar, Matthijs (TU Delft Computational Design and Mechanics) van Keulen, A. (TU Delft Mechanical Engineering) Maas, Robert (National Aerospace Laboratory - Netherlands) Faculty Mechanical Engineering Date 2023 Abstract Modeling of fluid flows in density-based topology optimization forms a longstanding challenge. Methods based on the Navier–Stokes equations with Darcy penalization (NSDP equations) are widely used in fluid topology optimization. These methods use porous materials with low permeability to represent the solid domain. Consequently, they suffer from flow leakage in certain areas. In this work, the governing equations for solid/fluid density-based topology optimization are reevaluated and reinterpreted. The governing equations are constructed using the volume averaged Navier–Stokes (VANS) equations, well known in the field of porous flow modeling. Subsequently, we simplify, interpret and discretize the VANS equations in the context of solid/fluid topology optimization, and analytically derive lower bounds on the Darcy penalization to sufficiently prevent flow leakage. Based on both the NSDP and VANS equations, two flow solvers are constructed using the Finite Volume method. Their precision and the lower bound on the Darcy penalization are investigated. Subsequently, the solvers are used to optimize flow channels for minimal pressure drop, and the resulting designs and convergence behavior are compared. The optimization procedure using the VANS equations is found to show less tendency to converge to inferior local optima for more precise flow solutions and is less sensitive to its parameter selection. Subject Darcy penalizationFluid flowTopology optimizationVolume averaging To reference this document use: http://resolver.tudelft.nl/uuid:7e29be76-af81-401d-a625-5d0984ccd1e5 DOI https://doi.org/10.1007/s00158-023-03570-4 ISSN 1615-147X Source Structural and Multidisciplinary Optimization, 66 (6) Part of collection Institutional Repository Document type journal article Rights © 2023 M.J.B. Theulings, Matthijs Langelaar, A. van Keulen, Robert Maas Files PDF s00158_023_03570_4.pdf 7.24 MB Close viewer /islandora/object/uuid:7e29be76-af81-401d-a625-5d0984ccd1e5/datastream/OBJ/view