Integration of design and analysis through boundary integral equations

Benjamin Marussig, Jürgen Zechner, Gernot Beer, Thomas Peter Fries

Publikation: Beitrag in Buch/Bericht/KonferenzbandBeitrag in einem KonferenzbandForschungBegutachtung

Abstract

The direct integration of Computer Aided Geometric Design (CAGD) models into a numerical simulation improves the accuracy of the geometrical representation of the problem as well as the efficiency of the overall analysis process. In this work, the complementary features of isogeometric analysis and boundary integral equations are combined to obtain a coalescence of design and analysis which is based on a boundary-only discretization. Following the isogeometric concept, the functions used by CAGD are employed for the simulation. An independent field approximation is applied to obtain a more flexible and efficient formulation. In addition, a procedure is presented which allows a stable analysis of trimmed geometries and a straightforward positioning of collocation points. Several numerical examples demonstrate the characteristics and benefits of the proposed approach. In particular, the independent field approximation improves the computational efficiency and reduces the storage requirements without any loss of accuracy. The proposed methodology permits a seamless integration of the most common design models into an analysis of linear elasticity problems.

Originalspracheenglisch
TitelECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
Herausgeber (Verlag)National Technical University of Athens
Seiten6526-6538
Seitenumfang13
Band3
ISBN (elektronisch)9786188284401
PublikationsstatusVeröffentlicht - 2016
Veranstaltung7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Griechenland
Dauer: 5 Jun 201610 Jun 2016

Konferenz

Konferenz7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
LandGriechenland
OrtCrete
Zeitraum5/06/1610/06/16

Schlagwörter

    ASJC Scopus subject areas

    • Artificial intelligence
    • Angewandte Mathematik

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  • Dieses zitieren

    Marussig, B., Zechner, J., Beer, G., & Fries, T. P. (2016). Integration of design and analysis through boundary integral equations. in ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering (Band 3, S. 6526-6538). National Technical University of Athens .