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Title:

A semi-Lanrangean time-integration approach for extended finite element methods

Document type:
Zeitschriftenaufsatz
Author(s):
Henke, F.; Winklmaier, M; Gravemeier, V.; Wall, W.A.
Abstract:
Many computational problems incorporate discontinuities that evolve in time. The eXtendend Finite Element Method (XFEM) is able to represent discontinuities sharply on fixed arbitrary meshes, but numerical difficulties arise if these discontinuities move in time. We point out that this issue is crucial for interface problems with strongly discontinuous fields on fixed grids. A method using semi-Lagrangean techniques is proposed to adequately handle time integration based on finite difference sch...     »
Keywords:
extended finite element method; time integration; moving domain; embedded interface; fixed-grid method; premixed combustion
Dewey Decimal Classification:
620 Ingenieurwissenschaften
Journal title:
International Journal for Numerical Methods in Engineering
Year:
2014
Journal volume:
98
Month:
Apr
Journal issue:
3
Pages contribution:
174-202
Covered by:
Web of Science
Reviewed:
ja
Language:
en
Fulltext / DOI:
doi:10.1002/nme.4628
Status:
Verlagsversion / published
Semester:
WS 13-14
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