Metadata language
Hybrid level-set phase field method in shape optimization
Subtitle:Raport Badawczy = Research Report ; RB/29/2013
Creator:Koniarski, Konr ; Myśliński, Andrzej
Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:16 pages ; 21 cm ; Bibliography p. 15-16
Subject and Keywords:Metoda pola fazowego ; Topology optimization ; Optymalizacja topologii ; Metoda zbiorów poziomicowych ; Unilateral problems ; Level set approach ; Phase field method ; Problemy jednostronne
Abstract:In the paper two-phase topology optimization problem is formulated in terms of the modified level set method and regularized using Cahn-Hilliard based interfacial energy term rather than the standard perimeter term. The derivative formulae of the cost functional with respect to the level set function is calculated. Modified reaction-diffusion equation updating the level set function is derived. The necessary optimality condition for this optimization problem is formulated. The finite element and finite difference methods are used to solve the state and adjoint systems. Numerical examples are provided and discussed.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Creative Commons Attribution BY 4.0 license
Terms of use:Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -
Digitizing institution:Systems Research Institute of the Polish Academy of Sciences
Original in:Library of Systems Research Institute PAS
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