The extended finite element method applied to 3D free-surface flows

H. Sauerland*, T. P. Fries

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In fluid flow problems with free surfaces, discontinuities in the field variables can occur across the interface. Such non-smooth solution behavior causes great problems for standard finite element methods in combination with interface capturing techniques. An approach frequently applied to problems with discontinuous solutions is the extended finite element method (XFEM). The discontinuities across the interface can be appropriately accounted for by locally enriching the finite element approximation space. As the XFEMis based on the level set method, the possibility to deal with moving interfaces without topological restrictions is inherent. This work introduces a robust XFEM approach for free-surface flows. A special preconditioning technique is proposed which allows the usage of standard iterative solvers for the given XFEM problem. In order to increase the accuracy of the interface description and improve conservation of mass, an adaptive mesh refinement strategy is applied, where necessary. Furthermore, an extension of the mesh refinement approach is introduced which allows for the creation of efficient meshes involving curved boundaries. Very promising results for industrially relevant 3D free-surface flow simulations are presented.

Original languageEnglish
Title of host publicationECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Pages2285-2293
Number of pages9
Publication statusPublished - 2012
Event6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Austria
Duration: 10 Sep 201214 Sep 2012

Conference

Conference6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
CountryAustria
CityVienna
Period10/09/1214/09/12

Keywords

  • Enrichment
  • Extended finite element method
  • Free-surface flows
  • Two-phase flows

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Applied Mathematics

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