Immersed Boundary Method based fixed-grid approach to fluid-structure inter

I am working on a project, I need implementation using MATLAB/ANSYS with the compilers COMSOL/FORTRAN respectively. The aim of this study is to combine the benefits from the ALE grid approach and the fixed grid approach, by developing an overlapping grid formulation, where a localised ALE grid (which conforms to structural deformation) overlaps a fixed fluid grid in the background. To make overlap mesh or overlap grid formulation, there are many mothed to do overlap like X-FEM, IBM, S-FEM and others I need to develop a new method to couple the FSI problem and Introducing a separate interface mesh between fluid and structure. also, I want to develop the large structural deformations in combination with a deformable fluid mesh around the structure. I wish to reduce the Reduce the computational time for FSI problem, the computational cost and minimize the computational effort.