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

H. Sauerland, T. P. Fries

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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

Fingerprint

Extended Finite Element Method
Free Surface Flow
Finite element method
Discontinuity
Flow simulation
Moving Interface
Curved Boundary
Preconditioning Techniques
Iterative Solvers
Discontinuous Solutions
Adaptive Mesh Refinement
Interfaces (computer)
Approximation Space
Flow of fluids
Mesh Refinement
Level Set Method
Conservation
Flow Simulation
Finite Element Approximation
Free Surface

Keywords

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

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Applied Mathematics

Cite this

Sauerland, H., & Fries, T. P. (2012). The extended finite element method applied to 3D free-surface flows. In ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers (pp. 2285-2293)

The extended finite element method applied to 3D free-surface flows. / Sauerland, H.; Fries, T. P.

ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. p. 2285-2293.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Sauerland, H & Fries, TP 2012, The extended finite element method applied to 3D free-surface flows. in ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. pp. 2285-2293, 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012, Vienna, Austria, 10/09/12.
Sauerland H, Fries TP. The extended finite element method applied to 3D free-surface flows. In ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. p. 2285-2293
Sauerland, H. ; Fries, T. P. / The extended finite element method applied to 3D free-surface flows. ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. pp. 2285-2293
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