This talk presents the ongoing effort to develop a fixed grid fluid-structure interaction scheme that can be applied to real world problems of the 3-dimensional interaction of most general structures exhibiting large deformations with incompressible flow. It is based on an eXtended Finite Element Method (XFEM) strategy to enrich the fixed Eulerian fluid field with moving interfaces. The fluid is coupled to the Lagrangian structural field using a novel Lagrange multiplier technique for embedded Dirichlet conditions on non-matching grid. For the FSI solution, both partitioned-iterative and monolithic approaches can be used. Qualitative examples and comprehensive benchmark computations demonstrate key features and accuracy of the method.
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