Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/14272
Title: Simultaneous topology design and optimization of PDE constrained processes based on mixed integer formulations
Authors: Ertürk, Emrullah
Deliismail, Özgün
Şıldır, Hasan
Keywords: Mixed-integer programming
PDE constrained optimization
Topology optimization
Constrained optimization
Decision making
Publisher: Elsevier
Abstract: Simultaneous topological design and optimization of complex processes that are described by partial differential equations is a challenging but promising research area. Widely adopted nested and sequential approaches are mostly applicable based on heuristic solutions, hindering the theoretical improvement potential due to decentralized decision-making in subsequent stages with a significant number of trial-and-error procedures. This study introduces a mixed integer formulation addressing the governing equations and case-dependent topological constraints at each discretization point, enabling solutions through rigorous solvers under process-related constraints and objectives. Nonlinear expressions in the formulations are further tailored using piecewise linear approximations, still representing the major nonlinear trends through a mixed-integer linear nature to favor global optimality and benefit from computational advancements, when needed. Heat and Stokes flow problems are used as case studies to demonstrate the applicability of the methodology. © 2024 Elsevier B.V.
URI: https://doi.org/10.1016/j.cep.2023.109661
https://hdl.handle.net/11147/14272
ISSN: 0255-2701
Appears in Collections:Chemical Engineering / Kimya Mühendisliği
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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