An ALE-Chimera method for large deformation fluid structure interaction

This note discusses a combination of the Chimera fixed grid approach and Arbitrary Lagrangean Eulerian ('ALE') based methods for large deformation fluid structure interaction ('FSI'). The governing equations for incompressible flows in an Eulerian framework, a rotating frame of reference and an ALE-setting are discussed in order to point out the relatedness of these approaches. An algorithm to solve the Navier-Stokes-equations on domains with large deformations in an ALE-Chimera framework is derived from these equations. Some remarks on the implementation of the method are made, and in the end the theory is illustrated by small numerical examples