Algorithm of rebuilding a boundary of domain during creation of an optimal shape

• Autorzy: Freus K. , Freus S.

Identyfikatory

DOI

10.17512/jamcm.2016.1.02

• Języki publikacji: EN

Abstrakty

EN

In order to achieve the desired topology we often have to remove material of the area considered. This work presents the author's algorithm which can be used in the reconstruction of the boundary of domain after elimination of a certain amount of material. The paper introduces some details about the procedure that allows one to achieve the expected shape of a domain. The topological-shape sensitivity method for the Laplace equation is used to obtain an optimal topology, whereas numerical methodology utilizes the boundary element method. In the conclusion of the paper the example of computation is shown.

Słowa kluczowe

EN

Laplace equation; boundary element method; heat transfer; topological-shape sensitivity method

PL

równanie Laplace'a; metoda elementów brzegowych; wymiana ciepła

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2016
• Tom: Vol. 15, nr 1
• Strony: 17--24
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Freus K.

• Institute of Mathematics, Czestochowa University of Technology, Częstochowa, Poland

autor

Freus S.

• Institute of Computer and Information Science, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

• [1] Freus K., Freus S., Determination of an optimal shape of domain using the topological derivative and Boundary Element Method, Journal of Applied Mathematics and Computational Mechanics 2014, 13(4), 41-48.
• [2] Navotny A.A., Feijoo R.A., Taroco E., Padra C., Topological-shape sensitivity analysis, Computer Methods in Applied Mechanics and Engineering 2003, 192, 803-829.
• [3] Marczak R.J., Topology optimization and boundary elements - a preliminary implementation for linear heat transfer, Engineering Analysis with Boundary Elements 2007, 31, 793-802.
• [4] Anflor C.T.M., Marczak R.J., Topological sensitivity analysis for two-dimensional heat transfer problems using the Boundary Element Method, Optimization of Structures and Components Advanced Structured Materials 2013, 43, 11-33.
• [5] Brebbia C.A., Dominguez J., Boundary Elements. An Introductory Course, CMP, McGraw-Hill Book Company, London 1992.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.