Sliding free lagrangian-eulerian finite element method

Authors:
Junbo Cheng;Guiping Zhao;Zupeng Jia;Yibing Chen;Junxia Cheng;Shuanghu Wang;Wanzhi Wen
Affiliations:
Institute of applied physics and computational mathematics, Beijing, China;Institute of applied physics and computational mathematics, Beijing, China;Institute of applied physics and computational mathematics, Beijing, China;Institute of applied physics and computational mathematics, Beijing, China;Institute of applied physics and computational mathematics, Beijing, China;Institute of applied physics and computational mathematics, Beijing, China;Institute of applied physics and computational mathematics, Beijing, China
Venue:
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part I
Year:
2006

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Abstract

People usually use arbitrary Lagrangian-Eulerian method to simulate the multi-phase flowing problems, but some numerical errors may be introduced during remapping. In this paper, sliding free Lagrangian-Eulerian finite element method(SFLEFEM) is developed. In SFLEFEM compressible Eulerian equations for moving mesh are dircretized without Lagrangian step and numerical experiments prove that SFLEFEM is convergent and stable.