An advection–diffusion based filter for machinable designs in topology optimization

Lukas C. Høghøj*, Erik A. Träff

*Corresponding author for this work

    Research output: Contribution to journalJournal articleResearchpeer-review

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    This paper introduces a simple formulation for topology optimization problems ensuring manufacturability by machining. The method distinguishes itself from existing methods by using the advection–diffusion equation with Robin boundary conditions to perform a filtering of the design variables. Furthermore, the approach is easy to implement on unstructured meshes and in a distributed memory setting. Finally, the proposed approach can be performed with few to no continuation steps in any system parameters. Applications are demonstrated with topology optimization on unstructured meshes with up to 64 million elements and up to 29 milling tool directions.
    Original languageEnglish
    Article number114488
    JournalComputer Methods in Applied Mechanics and Engineering
    Number of pages20
    Publication statusPublished - 2022


    • Manufacturability
    • Machining
    • Milling
    • Filtering
    • Topology optimization


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