An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces
Dmitri Kuzmin,
Jan-Phillip Bäcker
Abstract:We explore a new way to handle flux boundary conditions imposed on level sets. The proposed approach is a diffuse interface version of the shifted boundary method (SBM) for continuous Galerkin discretizations of conservation laws in embedded domains. We impose the interface conditions weakly and approximate surface integrals by volume integrals. The discretized weak form of the governing equation has the structure of an immersed boundary finite element method. A ghost penalty term is included to extend the wea… Show more
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