  In this work, we present a novel method for the mesh update in flow problems
with moving boundaries, the phantom domain deformation mesh update method
(PD-DMUM). The PD-DMUM is designed to avoid remeshing; even in the event of
large, unidirectional displacements of boundaries. The method combines the
concept of two mesh adaptation approaches: (1) The virtual ring shear-slip mesh
updatemethod (VR-SSMUM); and (2) the elastic mesh update method (EMUM). As in
the VR-SSMUM, the PD-DMUMextends the fluid domain by a phantom domain; the
PD-DMUM can thus locally adapt the element density. Combined with the EMUM, the
PD-DMUMallows the consideration of arbitrary boundary movements. In this work,
we apply the PD-DMUM in two test cases. Within the first test case, we validate
the PD-DMUM in a 2D Poiseuille flow on a moving background mesh. Subsequently
the fluid-structure interaction (FSI) problem in the second test case serves as
a proof of concept. More, we stress the advantages of the novel method with
regard to conventional mesh update approaches.
