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The hierarchical finite cell method for nonlinear problems: moment fitting quadratures, basis function removel, and remeshing
Citation Link: https://doi.org/10.15480/882.3604
Publikationstyp
Doctoral Thesis
Date Issued
2021
Sprache
English
Author(s)
Advisor
Referee
Title Granting Institution
Technische Universität Hamburg
Place of Title Granting Institution
Hamburg
Examination Date
2021-02-16
TORE-DOI
TORE-URI
First published in
Number in series
355
Citation
Technische Universität Hamburg (2021)
Publisher
VDI Verlag
Peer Reviewed
true
In this thesis, several approaches are discussed in order to further enhance the performance of the finite cell method (FCM).
Thereby, novel moment fitting quadrature schemes are introduced that allow to reduce the effort of the numerical integration process significantly. Further, a basis function removal scheme is proposed to improve the conditioning behavior of the resulting equation system. Finally, an innovative remeshing strategy is presented that overcomes the problem of severely distorted elements for simulations with large deformations.
Thereby, novel moment fitting quadrature schemes are introduced that allow to reduce the effort of the numerical integration process significantly. Further, a basis function removal scheme is proposed to improve the conditioning behavior of the resulting equation system. Finally, an innovative remeshing strategy is presented that overcomes the problem of severely distorted elements for simulations with large deformations.
DDC Class
600: Technik
620: Ingenieurwissenschaften
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