Raport Badawczy = Research Report ; RB/29/2013
Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
16 pages ; 21 cm ; Bibliography p. 15-16
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.
Raport Badawczy = Research Report
Creative Commons Attribution BY 4.0 license
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Systems Research Institute of the Polish Academy of Sciences
Library of Systems Research Institute PAS
19 paź 2021
28 paź 2020
39
https://rcin.org.pl./publication/180409
Nazwa wydania | Data |
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RB-2013-29 : Myśliński Andrzej Marek, Koniarski Konrad Wiktor : Hybrid level-set phase field method in shape optimization | 19 paź 2021 |
Myśliński, Andrzej Wróblewski, M.
Novotny, Antonio Szulc, Katarzyna Żochowski, Antoni
Pawłow, Irena
Koniarski, Konr
Koniarski, Konr