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Towards higher‐order XFEM for interfacial flows
Author(s) -
Fries ThomasPeter
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510244
Subject(s) - interface (matter) , extended finite element method , position (finance) , focus (optics) , scalar (mathematics) , level set (data structures) , set (abstract data type) , function (biology) , order (exchange) , level set method , zero (linguistics) , finite element method , element (criminal law) , computer science , algorithm , geometry , mathematics , mechanics , physics , engineering , structural engineering , artificial intelligence , optics , law , linguistics , segmentation , maximum bubble pressure method , biology , bubble , evolutionary biology , political science , programming language , finance , economics , image segmentation , philosophy
The simulation of immiscible two‐phase flows is a challenging task, in particular with higher‐order accuracy. We use an interface capturing approach combined with the extended finite element method (XFEM) to represent inner‐element jumps and kinks across the interface. The position of the interface is defined by the curved zero‐level set of a higher‐order scalar function. Here, we focus on the higher‐order accurate integration on the two sides of the interface (i.e., the zero‐level set). (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)